Approval of the thesis:
submitted by
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by,
Prof. Dr. Canan Özgen
Dean, Graduate School of
in partial fulfillment of the requirements for the degree of
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______________________
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______________________
Assoc. Prof. Dr. Zeynep Mennan
Supervisor, !$%& $ '!
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______________________
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Assoc. Prof. Dr. Ay(en Sava(
Architecture Department, METU
______________________
Assoc. Prof. Dr. Zeynep Mennan
Architecture Department, METU
______________________
Asst. Prof. Dr. Mine Özkar
Architecture Department, METU
______________________
Instr. Dr. Nihal Bursa
Architecture Department, METU
______________________
Instr. Dr. Hakan Tong
Architecture Department, Istanbul Technical University
______________________
24.06.2008
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iii
Aslı ARPAK
PHYSICAL AND VIRTUAL: TRANSFORMATION OF THE ARCHITECTURAL
MODEL
Arpak, Aslı
M.Arch, Department of Architecture
Supervisor: Assoc. Prof. Dr. Zeynep Mennan
June 2008, 101 pages
Today the most prosperous interface of architectural design and representation has become
the architectural model both in its digital and physical forms. There has been a shift in the
design medium from the physical modeling processes to computer>aided design, by way of
which the computational design methods have established a much more dynamic, complex,
and continual design. In this process, the digital design model now accompanies the whole
design as a single entity, contrary to conventional analog modeling techniques where design
is compartmentalized into linear phases.
By the embracement of computer>aided manufacturing (CAM) in company of computer>
aided design (CAD), physical modeling has gained another dimension in the interwoven
relationship of the digital and physical. The aim of this study is to explore the novel
conceptual and computational changes which mark the departure of this new mode of design
from the old. There has always been a hierarchy of presence between the virtual space of
representations and architecture’s materiality. Within this context, the emphasis of the study
is on the relationship between the virtuality of conception and modeling processes, and the
materiality of construction, production and fabrication.
Keywords: Architectural modeling, physical modeling, virtuality, computational design,
rapid prototyping (RP).
iv
78
FĐZĐKSEL VE SANAL: MĐMARĐ MODELĐN DÖNÜGÜMÜ
Arpak, Aslı
Yüksek Lisans, Mimarlık Bölümü
Tez Yöneticisi: Doç. Dr. Zeynep Mennan
Haziran 2008, 101 sayfa
Hem fiziksel hem de dijital biçimleri ile mimari model, bugün mimarlık tasarımının ve
temsiliyetinin en ba(arılı ara yüzü olma özelliğini korumu(tur. Fiziksel modelleme
süreçlerinden bilgisayar destekli tasarıma geçi( ile tasarım ortamında bir dönü(üm meydana
gelmi(tir. Sayısal tasarım metotları ile, tasarım sürecinin geleneksel olarak bölümlere
ayrılmı( yapısına kar(ıt ve dijital tasarım modelinin tasarıma tek varlık olarak e(lik ettiği çok
daha dinamik, karma(ık ve sürekli bir tasarım süreci kurulmu(tur.
Bilgisayar destekli üretimin (BDÜ) bilgisayar destekli tasarım (BDT) beraberinde
benimsenmesi ile, dijital ve fizikselin birbirine geçmi( ili(kisi içerisinde fiziksel modelleme
de yeni bir boyut kazanmı(tır. Bu çalı(manın amacı, tanımlanan bu yeni tasarım biçimini
eskisinden ayıran kavramsal ve sayısal deği(imleri ara(tırmaktır. Mimari temsiliyetin sanal
mekanı ile mimarlığın maddesel mekanı arasında her zaman varolu(sal bir hiyerar(i
bulunmaktadır. Bu bağlamda kavramsal dü(ünce ve modelleme süreçlerinin sanallığı ile
in(a, yapım ve üretim süreçlerinin arasındaki ili(ki vurgulanmaktadır.
Anahtar kelimeler: Mimari modelleme, fiziksel modelleme, sanallık, bili(imsel tasarım, hızlı
prototipleme (HP).
v
To My Dearest Family
vi
9
I would like to express my sincere appreciation to my thesis supervisor Assoc. Prof. Dr.
Zeynep Mennan, for her guidance, understanding, meticulous reading, and motivating
comments throughout the whole study.
I would like to present my appreciation to my jury committee, Assoc. Prof. Dr. Ay(en Sava(,
Asst. Prof. Dr. Mine Özkar, Inst. Dr. Nihal Bursa, and Inst. Dr. Hakan Tong for their
valuable discussions, helpful comments and criticism.
I present my honest thanks and gratitude to my family, whose love, grace, and support I
always feel by my side throughout a lifetime.
I offer my sincere thankfulness to Özcan Oğuz, for his love, patience, and support in
everything I do.
I am thankful to all my friends at METU for their friendship, support and enthusiasm. I
would like to thank Haldun and Sevilay Sevinçli for my second home, to Nihan
Karaveyisoğlu for stimulating my work in all aspects; to Ba(ak Uçar and Hacer Yalım Kele(
for sharing their knowledge and experience; and to my colleagues at the Department of
Architecture, especially to Heves Be(eli, Sertuğ Tanrıverdi, Onur Özkoç, Esatcan Co(kun,
Ali Yücel Özdemir, Aytül Baran and Ay(egül Akçay for their friendship and support.
vii
ABSTRACT ...................................................................................................................................iv
ÖZ....................................................................................................................................................v
ACKNOWLEDGEMENTS.......................................................................................................... vii
TABLE OF CONTENTS ............................................................................................................ viii
LIST OF FIGURES .........................................................................................................................x
CHAPTERS:
1. INTRODUCTION .......................................................................................................................1
2. ARCHITECTURAL MODEL AS A MODE OF REPRESENTATION ..................................10
2.1. An Overview of the Modeling Culture ...................................................................................11
2.1.1.
The Meaning and the Concept of “Model” .................................................................11
2.1.2.
The Architectural Model: ............................................................................................14
2.2.
Different Roles of Architectural Models in Terms of Their Performativity ....................17
2.2.1. Types of Architectural Models........................................................................................18
2.2.1.1.
Conceptual models (Sketch Models) ..................................................................19
2.2.1.2.
Working models (Study Models, Design Development Models): .....................21
2.2.1.3.
Structural models ...............................................................................................25
2.2.1.4.
Presentation models............................................................................................28
2.2.2.
Design as a Staged>Process through Architectural Modeling: ....................................29
2.3. The Architectural Model in History .......................................................................................31
viii
3. THE EXTENSIONS FROM THE PHYSICAL SPACE OF DESIGN TO THE VIRTUAL
ENVIRONMENT ..........................................................................................................................42
3.1. The Extension of Design Space from the Physical to the Virtual...........................................42
3.2. Model In>Between the Virtual and the Real ...........................................................................45
3.2.1. Reality Versus Virtuality ................................................................................................45
3.2.2. The Notions of the “Real” and the “Virtual” in Bergsonian and Deleuzian Discourses .45
3.2.3. The Deleuzian Diagram ..................................................................................................47
3.3. New Modes of Design Organization, Process, and Modeling ................................................49
3.3.1. Topology and Time .........................................................................................................52
3.3.1.1. Non>Euclidean Geometries .....................................................................................56
3.3.1.2. NURBS Geometries ................................................................................................57
3.3.2. Parametrics ......................................................................................................................60
3.3.2.1. Associative Geometry .............................................................................................65
3.3.2.2. Algorithms and Scripting ........................................................................................67
3.3.3. Towards a Unified Understanding of Modeling .............................................................69
4. THE COMPROMISE OF THE VIRTUAL AND PHYSICAL REALMS BY THE AID OF
MODELING AND MANUFACTURING ....................................................................................72
4.1. Procedural Alteration of the Architectural Design Process through Novel Physical Modeling
Techniques.....................................................................................................................................73
4.2.2. Computer>Numerically Controlled Equipments .............................................................79
4.2.2.1. Subtractive Fabrication ............................................................................................80
4.2.2.2. Additive Fabrication ................................................................................................81
4.3. Rapid Prototyping ...................................................................................................................83
4.3.1. Rapid Prototyping Challenges and Modeling Strategies.................................................86
4.3.2. A New Look at the Physical Model ................................................................................88
5. CONCLUSION .........................................................................................................................91
REFERENCES ..............................................................................................................................96
ix
&1'! :4 Concept models of Annette Goderbauer. Built for Steven Holl’s Kiasma Museum of
Contemporary Art, Helsinki. 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444
&1'!
4 The general schema of the information processing theory, or the decision tree. 4444444444 ;
&1'! ;4 Working model of Ben van Berkel and Caroline Bos. Constructed for the VilLA NM,
Upstate New York. 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444 <
&1'! =4 Structural model of National Museum of Contemporary Art, Osaka, Japan. By Cesar
Pelli & Associates. 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444 >
&1'! <4 Full>scale Peregrine Winery steel roof detail study model, by Architecture Workshop.
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444 ?
&1'! >4 The model of Zaha Hadid’s New Center for Contemporary Arts in Rome. Built by
Ademir Volic. He used materials as perspex, acrylic and Urial. CNC technologies are also
employed in this model. 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444 @
&1'! ?4 Three types of models which Antoni Gaudi worked with. The white plaster model (left)
and hanging wires and chain model (middle), and rope model (right).44444444444444444444444444444444;?
&1'!
4 The “light space modulator” by Lazslo Moholy>Nagy, 1922>1930. Reconstructed in
1970.4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444;@
&1'! @4 A model of the “Proun 5a ” by El Lissitzky. Remodeled by Rob Robbers by computer
modeling software. 444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444=
&1'! : 4 The topological transformation of a coffee cup to a torus.44444444444444444444444444444444444444444<=
&1'! ::4 A spline surface generated with spline curves. 44444444444444444444444444444444444444444444444444444444444<@
&1'! : 4 A caption from the research project of “the Parametric Bridge.”44444444444444444444444444444444>;
&1'! :;4 A Model from the “Digital Mockups.”444444444444444444444444444444444444444444444444444444444444444444444444>>
&1'! :=4 The translation process in Gehry’s Office.444444444444444444444444444444444444444444444444444444444444444444?@
&1'! :<4 The motion of the drill>bit and the bed in three> and five axes milling machines.444444 :
&1'! :>4 The stereolithography process.444444444444444444444444444444444444444444444444444444444444444444444444444444444444 ;
&1'! :?4 The continuous link between the evolutionary stages of design by rapid prototyping.
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444 >
&1'! : 4 The schema on the left explains the design process with the utilization of 3D models
and 2D drawings between the conception and construction phases. (Drawn after Yu>Tung
Liu.) 44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444 @
&1'! :@4 The schema on the right shows the complex relationship between various
representation techniques employed until the realization of the building is completed, and
maybe even afterwards. (Drawn after William J. Mitchell.) 444444444444444444444444444444444444444444444444 @
x
:
Architectural design ideas have been processed and represented in various media throughout
architectural history. The media are composed of representational techniques such as
drawing, painting, collage, photography, and modeling. Two>dimensional representation,
especially the architectural drawing, is seen to have always been of great interest in
architectural theory. Compared to two>dimensional representation techniques, for a long
period architectural modeling has been under minor focus in the architectural discourse,
though maintaining a vital position in the field. This study shares the interest in
contemporarily enlivened discussions on architectural modeling which focus on the
generative potentials of the architectural model within the design process. The position
which recognizes the architectural model as a design tool can be said to oppose to the
consideration of the model as an a posteriori representation equipment which functions in
presentational purposes to explain a finalized design work. Within this context, the model is
seen to serve only as an alternative representational medium to architectural drawings. In this
sense, the design information produced within the drawing medium is solely translated to the
model medium. The thesis controversially focuses on the model medium as a direct means to
the architectural design process, rather than merely for presentation or visualization.
When the traces of the intention to integrate modeling to the very early stages of
architectural design have been searched, as we understand it today, it is observed that the
first declared manifestation came from the Bauhaus in the early twentieth century.1 This was
a major consideration of the influential Bauhaus education and it has had a very important
role in the history of architectural education as it defined a mind shift in design procedures.
However, as the Bauhaus was closed in 1933 and the Bauhaus tutors were dissipated, the
educational system based on modeling was suppressed in favor of design with drawing.2 The
Bauhaus tutors were scattered around the world and many of them went to important
architectural schools in the US. They tried to reconstruct a Bauhausian education within the
1
Mark Morris.
Chichester, West Sussex: Wiley Academy, 2006.
2
1
American architectural education system. Their efforts throughout the twentieth century has
also had a profound effect in integrating the architectural model into the design,3 though it is
mainly the changing scientific and cultural context of the late twentieth century that prepared
the basis for a compulsory shift towards the extensive use of modeling within the design
procedures.4 Due to the interdisciplinary dialogue of architecture, the changes in many other
disciplines in the late twentieth century have had a profound influence on architectural
creation, production and representation. Some of these major disciplines that altered
architectural thinking have been mathematics, science, and philosophy.
The Cartesian space and Euclidean geometry, which architecture has internalized for long,
had been challenged by the studies of Karl Freidrich Gauss, Janos Bolyai, Nikolai Ivanovich
Lobachevsky, and Bernard Riemann.5 By the works of these mathematicians the space was
now constructed in a curved and multi>dimensional configuration.6 Space and time became
associated, and this association brought about the studies of non>Euclidean geometries and
topological structures. Within this conceptualization, “time” could be directly representable
on form and this recognition gave rise to a “multiplicity.”7 Within this context, a single form
could embed multiple possibilities in itself; therefore it became highly dynamic and
complex.
Similarly in science, the focal inclination from simplicity to complexity found its
equivalence with the studies of “complexity sciences.” Their new offering has been to
understand the world in its “complex, interconnected, and rapidly changing” structure.8 John
Casti notes that now a system does not have to be fragmented and studied in these isolated
theories in the hope of reassembling them in the future: Instead, complexity sciences propose
to study directly on the complexity of the actual system and releasing the observer from the
3
Albert C Smith.
Oxford: Architectural Press, 2004.
4
Branko Kolarevic. “Digital Morphogenesis.”
Edited by Branko Kolarevic. New York: Taylor and Francis, 2003.
5
Linda Dalrymple Henderson.
N.J.: Princeton Architectural Press, 1983.
Princeton,
6
7
Greg Lynn.
New York: Princeton Architectural Press, 1999.
8
Irine Sanders and Judith McCabe. “The Use of Complexity Science,” October 2003. p.4.
Reached at: http://www.hcs.ucla.edu/DoEreport.pdf
(Last accessed on 13.06.2008.)
2
“shadow of hypotheticality.”9 Therefore science is seen to be restructured in a holistic
approach in which the boundaries of different research fields are blurred.10 Within this
context, complexity sciences can be observed to have promoted the interdisciplinary
structure of theories and experimentation methods.
In the philosophical realm, the plurality and multiplicity that have been stimulated in
mathematical and scientific discourses are seen to find their correspondent in the post>
phenomenological discourse. In this scope, the philosophy of Gilles Deleuze has been highly
inspirational. Indeed, the studies of Deleuze have been based on is the work of Henri
Bergson, whose philosophical studies fundamentally challenged the notion of “time.”11 He
introduced the notion of
, which represents the “continuous lived time,” as opposed to
mechanical clock time.12 This offering constituted an important shift where time was now
considered as a continuity, instead of involving discrete instances; therefore it allowed
multiple beings and correspondence of different situations.13 This discussion leads to another
important dimension of Bergsonian philosophy: Bergson proposes that the notion of
can be explained by the notion of the “virtual.” He argues that, contrary to the common
conception, the “virtual” belongs to “reality,” but a reality which is not “actualized.”14 In
other words, the virtual can be actualized by a materializing action. Within this context, the
virtual is not the antidote of the real, but the actual, and these three act in a simultaneity. In
this scope, the virtual becomes a situation full of potential for future realizations, and allows
a multiplicity of viewpoints and becomings. In parallel, Deleuze accepts this theoretical
position, and proposes the notion of the “diagram” and the “abstract machine,” which are
correspondent of the virtual situation in Bergonian philosophy.15 The Deleuzian
9
John L Casti. !
" !
and Sons, 1997. pp.34>36.
10
# $%
&
%
New York: John Wiley
“The Center for Complexity Science.” Reached at: http://www.ccs.org.il/ (Last accessed on 13.06.2008.)
11
Alexander Sthyre. “Knowledge as a Virtual Asset: Bergson's Notion of Virtuality and Organizational
Knowledge,” &
'
(
9.1 (2003): 15 – 26.
12
13
14
Stephen Linstead. “Organization as Reply: Henri Bergson and Causal Organization Theory.” '
9:1 (2002): 95 – 111.
15
Gilles Deleuze. "
New York: Zone Books, 1988. p.94>8.
3
(
diagrammatic abstraction is conceived as a virtual entity, which possesses a potential for
multiple generations in its actualization.16
As observed, the twentieth century has constructed an understanding of the world in its
complexity with the studies in the mathematical, scientific, and philosophical disciplines.
Within this context, it can be remarked that the static and discrete conception of space, time,
and form had been increasingly leaving its place to dynamism, complexity, and continuity.
However, a major handicap could be noticed in this shift, where the newly recognized
complexity could not be studied and experimented with the traditional models and tools.
Towards the end of the twentieth century by the development of the computer technology,
many disciplines have retrieved adequate tools with the affordable and high>quality
computing capabilities to directly study the complex structures.17
The availability of computing technology is seen to compose a direct effect on all the
aforementioned disciplines and inevitably on the mode of architectural design and
production. In the 1950s, the computers were introduced to the architectural field; however
due to their expense, they could not be fully integrated in the architectural practice.18 In the
1970s, the computers had slowly begun to be recognized, but architects more likely used
them for drafting and visualization purposes. It can be noted that this type of employment of
computer tools does not go beyond the capabilities of two>dimensional representation
techniques, but only an increased quality in drawing. But by the 1980s, it is seen that the
computer had begun to be increasingly employed in the earlier stages of design, and the new>
generative possibilities available by computing had begun to be used. The first encounter
with computational methods is observed to have created an excitement among architects to
recognize closely and test the new digital medium of design, and this situation led to a highly
experimental process regarding architectural creation. The computer modeling can be said to
have been tested to its boundaries as it proposed many novel operational procedures beyond
the traditional analog modeling techniques. Meanwhile, Pittman notes that personal
16
William Braham. “After Typology: The Suffering of Diagrams.”
2000.
17
John L. Casti. !
18
Nicholas Negroponte.
" !
# $%
&
) v. 70 n.3:9>11. June
%
Cambridge, MA: The MIT Press, 1973.
4
computers were becoming more feasible and faster, and many architects have obtained the
chance to be involved in the computational design processes.19
For nearly five decades, the computational tools have been increasingly integrated to
architectural design. It can be remarked that computer>aided design (CAD) has offered
extensive and versatile design procedures for architects. Firstly, the Non>Uniform Rational
B>Splines (NURBS), on which many computer modeling software are based, offered
architects to study with highly complex curves very fast and easily. This has been possible
due to the fact that the NURBS provide an efficient form of data representation, they allow
fast operations, and their algorithms are numerically stable. Piegl and Tiller summarize that
on the basis of NURBS, computer modeling allows complex operations which cannot be
carried in conventional analog modeling medium.20 The novel modeling operations can be
exemplified as parametrics, associative geometry, keyframe animation, morphing, genetic
algorithms, and scripting.21
To understand the shift in design from the viewpoint of new modeling procedures, some
details of the new modeling operations can be touched upon. In parametric modeling, a form
can be expressed by mathematical sets of equations in addition to its geometrical expression.
The alterations in the model can be acquired by the revaluing of the variables in equations, as
well as the manipulation of the equations themselves. Mark Burry notes that by this feature
the parametric modeling procedure has been providing architects to construct an explicit
design method where the internal logic of the form becomes transparent through its
mathematics.22 Subsequently, parametric modeling is joined with associative geometry,
where the association within the form is carried to a higher level in which the relationships
of different geometries within a model are also determined by the equations. Therefore,
when an object or a detail is altered, the others follow respectively which brings the design
sequence simultaneity. Within this modeling procedure, complex forms can be generated and
manipulated with ease, speed, and greater accuracy.
19
Jon Pittman. “Chapter 18: Building Information Modeling: Current Challenges and Future Directions.”
Edited by Branko Kolarevic. New York: Taylor and
Francis, 2003. pp.254>8.
20
Les Piegl and Wayne Tiller.
21
Branko Kolarevic. “Digital Morphogenesis.”
22
Mark Burry. “Paramorph: Anti>accident Methodologies.” # , West Sussex: Academy Editions, 1999.
*+"% "
, Berlin: Springer, 1997.
5
In addition to parametric associative modeling, there are other forms of transformative
operations which are either completely or partially controlled by designers. With the ability
of animation, the form can be shaped by means of associating certain motion>based
modeling techniques, such as dynamics, kinematics, and keyframe (or keyshape)
animation.23 In dynamics, the motion of the object and the form is processed through
dynamic simulation, where the force fields are taken into account as inputs for the process,
though they are external to the form. On the contrary, kinematics put emphasis on the motion
of the object, which can be exemplified by the motion in the form’s skeletal structure and
expressed through joints and bones. In these transformative operations, when time is added
to the process as a temporal dimension, the possibility is created to follow the
metamorphosis of form. Kolarevic explains that the animation software interpolates the
discrete states of form under transformation and creates a smooth time>coded transition in
this sequence, from where designers may choose a specific state and propose to develop
design further through that stage.24 Kolarevic adds that another branch of keyshape
animation has been important in design which is “morphing,” where formally adverse spaces
are joined to obtain hybridity, which would result in more responsive yet difficultly
anticipated realizations.
In the transformations involved in animation, the evolutionary structure of morphogenesis
can be expressed with sets of generative rules, and this generation can be digitally encoded.
This kind of coding of the generative process is worked with “genetic algorithms,” which are
defined by John Frazer as “string>like” procedures and involves processes as reproduction or
gene>crossover in analogy with the natural organism’s mutation and variation.25 These
processes are observed to be based on parametrics, but in a more adaptive and responsive
fashion as the system reacts to newly integrated data into the system and redefines and
rewrites the sets of rules.26 Therefore, the process can be inferred to have become highly
dynamic, and the evolutionary structure of the process manifests the inner logic of the form
in its external form. In other words, as Greg Lynn points out, the complexity of the form
23
Branko Kolarevic. “Digital Morphogenesis.”
24
25
John Frazer. .
26
Branko Kolarevic. “Digital Morphogenesis.”
London: Architectural Association, 1995.
6
does not lie at only its complex curvatures, but also its internal logic and the embedded
information of its evolution.27
The algorithmic processes can also be represented in non>visual expressions through
“scripting.” Scripting is defined as writing basic command sequences or computer programs,
which utilizes a set of codes and instructions to allow the control of automatic operations.
Kostas Terzidis observes that scripting entails efficiency in data representation, and offers
rapidness by automaton in highly iterative processes.28 What is noteworthy in scripting
considering architectural conception is its offering of a new non>visual working medium: As
Mennan argues, the non>visual working medium of the script would challenge architectural
vision and visuality, and liberate designers from visual constraints, formal imagery and
prejudgment.29 Scripting is also seen to bring forth the open>endedness to form as it
constructs an easily adaptive nature by the manipulation of the script. As the scripting
process operates on a non>visual level, it can be remarked that the design process becomes
non>deterministic and emergent. Mark Burry defines this situation of open>endedness as that
the final form is neither stabilized with original formal intentions, nor made possible to be
foreseen from the early stages of design.30 Scripting is seen to have become an enriching
design procedure commonly utilized by designers both for its speed, and both for the
freedom in switching between modes of design in geometry, mathematics, and
programming.
The nearly five decades of CAD involvement has been seen to produce a wide range of new
architectural design procedures and modeling techniques. The complex structures and forms
have become easily generated and manipulated by the CAD development. Subsequently, it is
seen that another handicap occurred at the point where the material production of this
complexity became impossible with traditional fabrication and construction methods. At this
27
28
Greg Lynn.
Kostas Terzidis.
2003. p.65.
/-
.
&
-
--
29
&
-
London: Routledge,
Zeynep Mennan. “Non Standardization Through Non>Visualization: Scripting the Dom>Ino House”.
& 0
%
)
&
' & )
.
) Delft University of Technology, Faculty of Architecture, The Netherlands,
29. March> 01 April 2006.
30
Mark Burry. “Paramorph: Anti>accident Methodologies.” # , West Sussex: Academy Editions, 1999.
7
point, architects embraced the computer>aided manufacturing (CAM) technologies, which is
an extension of CAD in digitally>driven technology. CAM tools work with the similar form
data that is stored in a CAD file, in which they read the data through CAM software and
directly materialize the artifact in a variety of materials. CAM technologies involve a wide
range of fabrication techniques in two>dimensional and three>dimensional production by the
utilization of CNC equipment. The direct production and assembly capacity from the CAD
file via the use of CAM tools has been seen to dramatically challenge the conventional
construction procedures. As Mennan remarks, the representational stages of design are
dissolving between conception and production,31 and the dialogues between different
disciplines involved in building industry are increased and accelerated. The use of CNC
technologies has also been changing the mode of designing by providing the fabrication of
physical models at early stages directly from CAD files. Mitchell notes that this new design
course generates continuous feedback between two media.32 The use of physical models
constructed by CNC machines in the design process has been introduced as a new field in
contemporary architectural practice, which is referred to as “rapid prototyping” (RP). Rapid
prototyping has mutually altered the mode of digital design process and debased certain
conventions that have already begun to take transform with CAD modeling.
It can be seen that, modeling in the CAD/CAM duality enhances and enriches the
architectural conception and design development, and constructs a continual association
between the digital and material, where both become more meaningful and complete with
each other. These kinds of extensions as from CAD modeling to CAM modeling are needed
for contemporary architectural design, because as Peter Rowe has observed, the
comprehension capacity of designers strongly rely on the design world which is constructed
by the design medium they have preferred to adopt.33 Therefore, it can be commented that
the more the boundaries of architectural modeling are extended, the more the design world
broadens, where design might be embedded with multifarious information, therefore
becomes more effective, meaningful, and successfully integrated to its context. In this sense,
it can be observed that there is a mutual relationship between the practice and its tools: On
31
Zeynep Mennan. “Des Formes Non Standard: Un ‘Gestalt Switch’.”
%
Fréderic, Migayrou, and Zeynep Mennan. Paris: Editions du Centre Pompidou, 2003. pp.34>41.
32
William J. Mitchell. “Design Worlds and Fabrication Machines,” in
Edited by Branko Kolarevic. New York: Taylor and Francis, 2003.
33
Peter G. Rowe.
,
Cambridge, MA: The MIT Press, 1986.
8
. Edited by
the one hand, the architectural model tries to answer to the contemporary needs to be able to
process very complex and dynamic forms. On the other hand, in each improvement it opens
up new possibilities for architectural production as it is experienced in the course of time.
The main goal of the thesis is to explore the potentials and limits of the architectural model
as a means of “actualization” between the virtual and the real spaces of design. The study
tries to cover some of the conceptual and theoretical background of the changes experienced
in the late twentieth and early twenty>first centuries, via studying the architectural model as
the intentions and techniques in the modeling procedures are illuminating a wide area of
mathematical, scientific, technological, and philosophical settings. The main argument builds
around the shifts which take place in the generative role of the architectural model both on
non>digital and digital, in other words physical and virtual platforms.
In the contemporary form of design, three model making methods have become to operate in
collaboration: Analog physical modeling, CAD modeling, and CAM modeling. Within this
context, during this study, certain dualities have been reached from the viewpoint of
architectural modeling such as:
“Analog – Computer>generated,” “Physical – Digital,”
“Visual – Numerical.” The thesis claims that this spectrum of dual positions and tries to
reveal that they have actually a more balanced and convergent character, rather than
propelling each other as polarities. This study aims to elucidate that this convergence is
originating from the very nature of representation, which constitutes the means for the
creative intention from the virtual to the material. It is an inquiry to redefine an integrated
notion of the architectural model which comprises the three major processes of modeling.
9
This chapter serves as a general framework of architectural modeling as a mode of
representation. It tries to form a background in two concurrent fields: Firstly in physical
modeling and the conventions that have been constructed through its history, and secondly in
the situations which seem to challenge not only architectural modeling but all the
representation techniques and which can be expressed as computational and complex
methods. Understanding the traditions, conventions, and the background of design
computing synchronously would help to understand the contemporary shifts in the realm of
architectural modeling and how it transforms architectural design.1
In order to comprehend what “model” connotes in the architectural realm, the concept is
studied in the first place. Then, the types of models are defined in a general sense for the
purpose of understanding such conventions in especially physical modeling. These
extensions bear importance for the sake of recognizing the positions, functions and potentials
of different forms of models. Such categorizations would also clarify how designers deal
with design, for what purposes they employ certain model forms, and what these models
mean in the architectural realm. Although such classifications might seem highly artificial,
since the boundaries between practices have been increasingly dissolving, they would still
help to increase accuracy in modeling terminology.
After studying the types of models, types of architectural models are defined in a parallel
manner. In this classification, it can be recognized that modeling has been highly associated
with its representational mode. Such a recognition would also serve to comprehend design
theory from the viewpoint of modeling. Accordingly, these theoretical positionings and
functional differentiations of different types of models lead to the main discussion of the
1
It should be mentioned that the discussion on the function of the architectural model, as it is known today, is
constructed by Leon Battista Alberti in the Renaissance. The discussion was suppressed by the emphasis on the
architectural drawing up until the twentieth century. In the contemporary discourse, in both pre>digital and digital
era, it has drawn strong interest and become a major field of study.
Mark Morris.
10
thesis: The perception and meaning of architectural modeling has been going through a
major shift for the last three decades, particularly by way of the digital technologies.2 This
shift is discussed broadly with various factors and outcomes in the realm of architecture,
taking into consideration its highly interdisciplinar context with philosophy, science, and
technology. To achieve this, a history of architectural modeling is studied in the final section
of this chapter, and this argument leads to the shift in the late twentieth century which is
studied in the following chapter.
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In an etymological search, it is seen that the word model is “borrowed from the Middle
French word
1 , from Italian
, from Latin
. Modellus is a diminutive of
the Latin modulus, a diminutive of modus, which signifies the word measure.”3 As observed,
modeling is highly associated with measuring. As Smith defines it, “model” signifies a
number of situations: It can be the representational organization of an entity, not necessarily
in a scaled down form. It may propose a pattern or method that serves to produce a following
item.4 It may also “offer a tentative description of a theory or system that accounts for all its
known properties.”5 Architectural models work in all these fields, and it might be
additionally illustrative to evaluate architectural models within the “concept of model.”
It is fundamentally important to understand the concept of “model” with its different
meanings and varying contexts, because it is used to specify different means, situations and
ideals in many fields. This may help to clear some ambiguities knowing the existence of
such models and such classifications, in order to draw parallels between specific model
types. This would illuminate a basic knowledge on the logics and conventions of model>
making. Together with the dissolving boundaries between disciplines, it becomes more
complex to recognize, understand and implicate a specific model. For the sake of such a
2
Alfredo Andia. “Integrating Digital Design and Architecture During the Past Three Decades.” 2
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Albert C. Smith.
pp.61>2.
. p.62.
“Model,” !
5
Springfield, MA: C. G. Meriam Co., 1967.
$
11
&
)
commencing background, following Albert C. Smith’s classification, the concept of model
can be studied in five categories: (1) mathematical, (2) analog, (3) qualitative, (4)
engineering, (5) theoretical (sociological and philosophical.)6
A “mathematical model” deals with the natural systems and studies it within formal
mathematical representation.7 For the mathematician John L. Casti, “a model means an
encapsulation of some slice of the real world within the confines of the relationships
constituting a formal mathematical system.”8 Following with his definition of the
mathematical model;
Thus, a model is a mathematical representation of the modeler’s reality, a
way of capturing some aspects of a particular reality within the framework of
a mathematical apparatus that provides us with a means for exploring the
properties of the reality mirrored in the model.9
Mathematical models play an important role in architecture, with ever increasing stress in the
contemporary discussions. Following the debates in complexity sciences and the recognition
of computational methods, architecture has progressively been incorporating mathematical
models in its processes. Together with this new mathematical background and digital
technologies to process it, computational design knowledge forms this juncture as one of the
key elements in the epistemological shift in contemporary architecture which is going to be
discussed more in detail in the following chapter.
“Analog models” are artificial physical representations used to test and measure specific
systems.10 Some examples of scale analogs include miniature rivers, dams, aquifers11 for
hydrologic tests, miniature ship hulls for testing in water tanks, or miniature airplanes for
6
Albert C. Smith.
p.xviii. In his book, Albert C. Smith conceptualizes the fifth
model type as “relatively subjective models,” on the basis that sociologists and philosophers rely on relatively
subjective views on the nature of human and society. However in the scope of this work, these kinds of models
are included as “theoretical models,” which may both embody objective and subjective recognitions on a
conceptual level.
7
. p.xviii.
8
John L. Casti. +
9
+
2
New York: John Wiley, 1992. p.1.
!
.
10
Todd Rasmussen.
[Course Notes]. Retrieved March 30, 2008, from the Course’s Website:
http://www.hydrology.uga.edu/rasmussen/class/8740/Chap3.pdf. (Last accessed on 15.05.2008.)
11
.
12
testing in wind tunnels.12 Analog models aim to “demonstrate known quantitative relations
among governing parameters” rather than composing a discovery.13 They are laboratory
experiments which help to conduct towards design alternatives.14 As the use of computers
has increased today, computer simulations are also widely utilized in analog modeling as
well as physical experiments. The types of “qualitative models” can be listed as mock>ups,
prototypes and test beds.15 They work as simulations in a more precise domain. Examples of
such qualitative models can be given as scale models of high>rise buildings or bridges
exposed to smoke streamers to visualize vertex patterns; or structural scale models tested for
their reactions under specific loads.
16
Architects receive consultation from experts while
working in such models. Engineering models, as described by Dieterich Schuring, are
“experimental models structured to mirror the true physical behavior of an original
phenomenon, or a prototype.”17 Following Schuring, these types of models serve as
substitutes of systems that cannot be studied at the prototype level. They provide
fundamental information of the studied system, which allow predictions for prototype
design.18
Theoretical models include the models of philosophers and sociologists, assisting to
comprehend and alter the human nature and its systems.19 They work on an exceedingly
conceptual level, but both hinging upon subjective and objective values.20 In the field of
architecture, they function to strengthen the theoretical and conceptual background of a
12
13
Albert C. Smith.
.
14
Todd Rasmussen. “
15
Albert C. Smith.
16
17
18
19
p.xix.
:.
p.xix.
.
Dieterich J. Schuring. %
Elmsford, NY: Pergamon Pres, 1977. p.5.
. p.7.
Albert C. Smith.
p.xx.
20
. p.xviii. Philosophical models can be defined as subjective theories of philosophers obtained through
meditation. In sociology, it is seen that there are a number of different types of models. Circa late 1970s, a
constructivist view in sociology tried to hold objective grounds. For such a purpose, on a micro scale they study
“one>on>one and small group dynamics in regard to social patterns, socialization and communication.” It can be
observed that there is the will to the possession of objective measurement in both within the realm of philosophy
and sociology; however subjective models are contemplated on more often than not. The information on
sociological
models
is
obtained
from:
Judy
Lombardi.
“Sociological
Models,”
http://www4.vjc.edu/JudyLombardi/stories/storyReader$749. Last accessed on 30 April, 2008.
13
design proposal. The theoretical position of the architect is manifested in his design through
such models. Theoretical models operate on many scales: While providing the unity in a
single project, they also contribute to the consistency of the architect’s attitude in the entirety
of his practice. It can also be pondered that they share a part in the creation of paradigms in
the context of an architectural community. It would not be going too far to regard the
impulsive character of such theoretical models by mainstream architectural practitioners.
As observed, the “model” delineates a wide range of circumstances in many contexts.
Construing the concept of model with its multi>faceted structure is essential since the
architectural model operates in all these areas. It occasionally signifies an ideal, a canon, or a
means to achieve a desired state. In this sense, it appears to be interchangeably used, though
being in consciousness of the subtle disparities would help to provide terminological
accuracy. Moreover, the multiple meanings of the concept are also reflected in the concept of
the architectural model. In the realm of architecture, the “ideal” is extrapolated as the
“design model” or the “diagram,” the “canons” as “design conventions,” and the “means” as
the “physical or virtual architectural model” in the form of a thinking artifact. As the
disciplinary boundaries are increasingly suspending, it is getting complicated to decipher and
situate the architectural model. In this manifold study, it is detected that the architectural
model is assuming numerous roles, particularly in its contemporary state more than ever.
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As observed from the study of types of models, the term “model” can be said to be a highly
flexible term for architects with its many functions.21 The architectural model simply refers
to the physical or virtual representation of a design idea and can be basically defined as “a
thinking and defining mechanism for understanding and demonstrating architectural
concepts.”22 From the multiple definitions that can be put forward for the architectural
model, as Albert C. Smith proposes, the French word
;
suggests the closest meaning
to what is understood of the architectural model.23 He explains that, “literally a
;
is a
demonstration designed to gauge the general appearance or composition of the thing
21
Mark Morris.
22
Albert C. Smith.
23
p.8.
p.vi.
. p.2.
14
planned.”24 Today the architectural model is seen to have gained a much more flexible and
versatile character with many facets whose field extends to a broader context where the
boundaries of different types of models dissolve into each other. On this broad context of
contemporary models, Morris defines that;
Model applies to a whole gamut of real and virtual objects, running from
what appear to be crumpled up wads of paper to models so highly finished
that they appear as real full>scale buildings in photographs, and to a growing
array of digital types that, by layers or in sequence, target a myriad of design
concerns.25
It can be added that the models can be classified as old school or analogue models, which
refer to touchable scale models and virtual models, or they can be categorized in terms of
their performativity or functionality.26 However, he is right in observing that with digitally
fabricated models, which are cut by laser or routers or built by three>dimensional printers,
this categorization is blurred. In addition to this, it can also be seen that the labels as
analogue or digital models or classification by functionalities are also quite ambiguous
within the context of contemporary modeling.
In contemporary design culture, modeling can be regarded to have succeeded in
consolidating its grounds with its dynamism and versatility. When compared to the two>
dimensional representation techniques, to which modeling was subordinated for centuries, it
can be stated that by its very nature modeling outperforms two>dimensional techniques in a
few topics. It can be observed that architectural sketching and drawing has always been
favored by designers with its celerity and ease.27 Porter and Neale detect that studying
architectural concepts on paper at the initial stage of design is a well>disposed situation to
generate design ideas, providing speed and enrichment in the process.28 Be they efficient at
this stage, it can be regarded that such two dimensional representations may carry a few
handicaps.
24
25
.
Mark Morris.
26
.
27
. pp.14>23.
28
Tom Porter and John Neale.
Press, 2000.
p.8.
% -
2
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%
Oxford: Architectural
Firstly, apart from sketching or generating initial drawings, it is common experience that
producing the technical drawings required to completely represent a design work necessitates
colossal time and labor. In addition, the orthographic set of drawings is a rather technical
form of representation which requires professional training or extensive familiarity to
understand.29 Scale models are experienced to be much more communicative, easy and fast
to interpret in this sense, both by designers and clients. Furthermore, during the course of
design, modeling is seen to provide a strong form of penetration for the designer by
illuminating all details of the building. At the same time, it is observed to hold more
potential in offering several new design routes to be followed. In the context of generating
new ideas, Porter and Neale have detected that “[i]f the graphic techniques are the sole
method employed in design, alternative solutions which might exist beyond their capacity
could remain hidden or even ignored.”30 Similarly, as Mark Morris observes, “[m]odels also
help check deficiencies in design and in their refinement curb the effort of imagining various
problems only in drawing.”31 It is clear that models form a more comprehensive working
media and also serve to provoke the designer for diversities by permitting contemplation on
all these dimensions as well.
On an epistemological level of discussion, concerning the perceptual procedures and
process>related dynamics of design, it is not going too far to regard drawings and other
image representations as fixative. Unlike the dynamism of three>dimensionality, two>
dimensional representations are obtained by freezing a moment in design, capturing and
framing the vision in image. It can be suggested that the whole perception of the final
product is foreseen and planned by the producer of the image and the flexibility of the
viewer’s interpretation is limited. In the example of the orthographic set, there are
conventions of such a standard graphical representation. The orthographic set is composed of
plans, sections, elevations, in some cases accompanied by isometric or axonometric
projections, and perspective drawings. Other images as model photographs, collages or
computer renderings try to illuminate and visualize design with other motivations. The
reason they preserve their fixity is that as soon as their advancement is complete, it can be
noticed that all aspects which are dynamic in reality are frozen. For instance, when a model
29
. p.2.
30
. p.20.
31
Mark Morris.
p.9.
16
photograph or computer rendering is observed, the lighting conditions are prepared
according to the scene, and the perspective is anchored by the camera.
As to directing attention to the architectural model, it can be clearly observed that the gaze of
the viewer cannot be immobilized in such a sense as in the image. While observing a model,
the perception is realized through a period of time. The movement of the body is also
incorporated to the motion of the eyes.32 If architects observing a model are visualized, it
would surely be a scene in which they either handle the model or move around it, to obtain a
perception from all angles. As Tom Porter and John Neale observe, other senses as of touch
and smell also become a part of this observation. Unlike the image, it can be observed that
the model and the viewer share the three dimensions and its tactility in the same reality.
Opposing to the discreteness in the two dimensional representation, these interactions in the
observation of a model provide a continuum. Concerning both the perceptual and design
processes, models share a greater success in aiding the complex visual relationships. Based
on this aid, the dialogue between the designers gains speed and non>professionals can
penetrate into the design more easily. The role of the models in the design process is going to
be extensively discussed in the following section, from the viewpoints of designer, designer
dialogues and client relationships.
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When studied closely, it is interesting to observe that there are various types of models
which concentrate on different aspects of design works. This classification is far beyond the
differences in the materials chosen to build a model, or the gestures of the model>maker.
First, and probably the most important matter is the model’s status in the course of design.
Such categorizations would illuminate what certain models would mean in the process of
design, and on a pragmatic degree they would help in the employment of models more
effectively.33 Secondly, the concepts of scaling, and therefore detailing, become integral to
this discussion respectively. In this procedure, it becomes crucial to understand the specific
utilization of the model type which directly signals the course of design as it is intended by
designers. As Morris mentions that, “model types are used strategically, depending on the
32
Porter and Neale. p.104.
33
Mark Morris.
p.8.
17
stage of development and the problem being addressed.”34 This aspect alone may give hints
on the whole attitude about how designing is comprehended, and how the path and character
of design work is drawn.
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Designers and design theoreticians have always been interested questions on how an
architectural design process begins, how it proceeds, what means do designers employ, what
such tools connote, and so on. To refer to the mental procedure before any design idea is
materialized, Rudolf Arnheim offers that a form of model has already been employed as the
“thought model.” As interpreted by Morris, Arnheim points out that “architects think in
model form, to scale.”35 As Arnheim states;
No doubt, the architect must imagine with some degree of precision what the
actual building will look like when approached from the street or seen from
the inside. But much of the actual shaping must be done on thought models
of the whole building, mental images that are supported sooner or later by
small>scale models built at the office. […] What can be seen in imagination
tends, of course, to be less detailed and more generalized, but nevertheless
the handling of a mental image bears a striking resemblance to the
manipulation of an actual model with one’s hands.36
In more tactile or visual stages of architectural modeling, in other words while thinking with
models in the course of design, it can be observed that designers utilize a list of model types:
Conceptual models, working models, presentation models, a list which can be extended.
These model types are common practice to many practitioners, and what is more, designers
tend to utilize certain models in certain stages of design, which defines a deep>rooted
traditional approach.37
34
. p.27.
35
. pp.9>10.
36
Rudolf Arnheim.
Berkeley: University of California Press, 1977. p.17.
37
Before the beginning of any materialization at the conceptual level of design, there is another form of study that
many designers tend to find useful: The diagram. As van Berkel and Bos state, the general apprehension of the
diagram is “a statistical or schematic image.” (van Berkel and Bos, p.20.) They continue that architects have been
favoring the diagram as a “proliferating machine,” which forms its conventional significance today. Peter
Eisenman also states that historically the diagram is understood in two forms: The “analytic,” and the
“generative.” Eisenman’s definition of the analytic and generative diagram can be said to be the equivalent of van
Berkel’s and Bos’s definition of the conventional diagram. It should be mentioned that diagrams may be
represented with various techniques, including the model>form as well. The diagram discussion owns a long
18
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Conceptual models can be defined as three dimensional initial sketches of architectural
design ideas produced at the very beginning of a design process. Many architects are seen to
have adopted different techniques for conceptual studying. Common techniques can be
observed as sketching, modeling and even painting. Studying with models at the conceptual
stage seems to be a deliberate choice which is believed to be more challenging and
enriching, for the reason that conceptual modeling has the virtue of reversing the
conventional design route where drafting is employed firstly and modeling at the later stages.
Tom Porter and John Neale define the role of conceptual models as;
Used as an initial working design tool by many designers who prefer to test
newly forming ideas directly in the space of the idea, the conceptual model
represents an intimate and embryonic sketch in three dimensions.38
Conceptual models are commonly experienced to be built very fast by simple construction
techniques and materials, as card or clay. They are observed to be easily modifiable and
alterable. It is noticeable that architects may choose mixed media, or test same ideas in
various media. On the one hand, the advantage of working in the space of design helps to
visualize three dimensional relationships and it is a great advantage if it is taken into
consideration at the very beginning. On the other hand, it is seen to provide much greater
freedom to test form, space and surfaces in three dimensions without the concern of
detailing.
history especially since the Bauhaus, but the contemporary understanding is based on the writings of Gilles
Deleuze, which is discussed more in detail in Chapter 3. For the time being, since more tactile forms of models in
the design development stage are discussed, the generative role of the diagram is referenced at this point.
Ben van Berkel and Caroline Bos. “Diagrams, Interactive Operation in Operation.”
Peter Eisenman. “Diagram: An Original Scene of Writing.”
York: Universe, 1999. pp.26>35.
38
Porter and Neale.
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2
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%
19
23 (1998): 19>23.
p.21.
&1'! :4 Concept models of Annette Goderbauer. Built for Steven Holl’s Kiasma Museum of Contemporary
Art, Helsinki.
Tom Porter and John Neale.
Press, 2000. p.22.
% -
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Oxford: Architectural
Conceptual models may carry an abstract language and may be scaleless as well. These
choices depend on the designer’s attitude in generating the initial ideas and s/he habitually
makes use of the most stimulating method which would supply her/him with several
outcomes. Conceptual models are deeply interesting and elementarily important in the design
process due to their property of being the initial responses to a given design problem.39 These
first responses are of great interest because they crystallize the whole process and the final
form. In the route of design, conceptual models can be construed as forming the foundational
background of a design idea. Therefore, they serve to legitimize the architectural product by
constructing the basis to lean on and the guide to follow when disoriented. Another
important characteristic of conceptual models is their potential of generating various design
ideas. It can be suggested that they mark the multiple outcomes of initial responses by their
uttermost flexibility and versatility.
39
.
20
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40
Working models are the models that designers utilize in the entire design development. They
can be analyzed as extensions of conceptual models, that is to say of their “conceptual
predecessors.”41 They are exploration tools which unfold many underlying principles
“[w]hile referring back to the design objectives,” and stimulate potent future opportunities.42
In the design process, the transition from the conceptual model to the working model might
seem diffused. Working models may still act as conceptual models, but they are more
delimited. They serve as tools to carry out a more detailed and specific study following the
conceptual stage where initial ideas are already decided. They can be interpreted to sustain
the design closer to reality gradually, incubating it until it is maturated.
Working models’ constructional quality may differ in a scale of being very rough or really
detailed and clean. They can be used to discuss an ongoing design between designers or with
the clients if they are also involved in the process. However they are not constructed as clean
as the presentation models, and they are not as representational as such. As Tom Porter and
John Neale explain;
These are not exclusively about structurally>based ideas but often about
exploring different shapes, geometries or construction methods that will
emerge from experimenting with form and material in different ways – and
how these different approaches will ultimately affect the building process.43
During the course of design, many working models are built, and when an idea is tested the
designers generally tend to discard them.44 At this point, it can be commented that the
discard might occur ascribable to two following situations: Either the designers may depart
from the tested idea and go back to a previous stage to bring forth other ideas, or a new
working model would be decided to be built based on the knowledge of the previous
40
Inferring to the literary survey, it is encountered that working models can be referred to by many names such as
“study models” or “design development models.” However, the “working model” is chosen to be used in the
scope of this study.
41
. p.24.
42
.
43
.
44
.
21
working model. It can be detected that this procedure would construct the design as a “trial
and error” process. To clarify this position, the place of design in a scientific discourse
should be mentioned briefly and would be helpful in conceiving design with this perspective.
In a scientific approach, the design process has been conceptualized as a “problem solving
procedure” by designers and theoreticians since the end of nineteenth century.45 As Peter G.
Rowe states, “these interpretations all seek to explain creative problem solving under the
conditions of bounded rationality that are characteristic of design.”46 In the late 1950s and
1960s, “design was regarded as a series of stages characterized by dominant forms of
activity.”47 The cognition of design as a “staged>process” has inspired the production of
many design models,48 one of which the most central and dominant theory have been the
“information processing theory” developed by Newell, Shaw and Simon, in their paper
entitled “Elements of a theory of human problem solving” published in 1957.49 In this
system, the problem>solvers’ behavior is represented by a “program” which indicates
“primitive information processes that account for the cognition associated with an action.”50
As Rowe explains, the general diagrammatic schema of this position is the “decision tree.”
In the decision tree, there are two major reference points: Firstly there are “nodes” which
refer to the “decision points” or “knowledge states” in which a solution is proposed.
Secondly, there are “branches of action” which represent the “generative processes, […] that
allow one to take knowledge states as input, or as starting positions, and produce new
knowledge states as output.”51
45
Peter G. Rowe.
,
46
Peter G. Rowe. “Procedural Aspects of Design Thinking.”
,
Cambridge, MA: The MIT Press,
1987. p.39. Rowe explains that, the mentioned “bounded rationality” here refers to the concept of “satisficing”
that Herbert A. Simon has developed. To summarize Simon’s argument, “satisficing” denotes the condition in
which human cognition can rarely hold the capacity to consider all possible solutions to a problem, therefore
settles for a satisfying solution at hand.
Herbert A. Simon.
47
%
(Third Edition.) Cambridge, MA: The MIT Press, 1996 [1968].
.
48
These theories can be examplified by that of Morris Asimov’s, of Hochschule für Gestaltung at Ulm and of
Bruce Archer’s. For further information on such design theories and cognitive studies, please see: Peter G. Rowe.
“Procedural Aspects of Design Thinking.”
49
2
50
51
Allen J. Newell, C. Shaw and Herbert A. Simon. “Elements of a Theory of Human Problem Solving.”
+ . $ 65.3 (1958): 151>166.
Peter G. Rowe. “Procedural Aspects of Design Thinking.” p.51.
.
22
&1'!
4 The general schema of the information processing theory, or the decision tree.
Peter G. Rowe. “Chapter 2: Procedural Aspects of Design Thinking,” in
MIT Press, 1987. p.53.
,
Cambridge, MA: The
With this cognitive extension, the design progression can be commented to be ensured
through these tried>omitted paths and respectively successive routes. Similarly, due to their
virtue of reflecting a good amount of design thinking, design process and architects’
intentions as well, working models are usually preserved in the studios of architects, though
discarded. Consequently, yet again in the decision tree scheme, the position of the working
models in the design procedure can be formulated as that they mark the potentially weak or
blocked paths. Be they crude or beautifully built, they can be commented to outline the
milestones indicating the process. These milestones can be observed to be very useful to
guide the architects in taking the subsequent decisions. In this very dynamic process,
working models are observed to accommodate manifold design input and output. They may
also carry the information or traces of information from other mediative procedures as well.
For instance, these sources can be observed to be other exercises carried on at the same time
(as drawing), or traces of previous assemblies, or they may reflect thought switches during
the very process.
Many major design decisions seem to be made in the medium of the working models. The
main discussions are stimulated for space, surface, material and structure decisions.
Although the “structural models” come into prominence as another form of model in
23
studying structural issues, the basic thinking is firstly carried in the form of the working
model. After an amount of maturation, it is carried to the structural models’ medium for
precision. Naturally there can be observed to be many feedbacks between studying mediums,
and back and forths between the models as well.
Among this variety of working models, the “block models” and “space models” are seen to
be a different model form where a concentration on certain aspects of design has been
developed. The block models (or mass models) are abstract models which display only the
mass formation of a building without any detailing. They more likely approach the
discussions of mass and surface relations. The main discussions in these models can be
observed to be carried on two platforms: On a larger scale with the natural and urban
context, and on the scale of the specific site. The dynamics of the contextual and local
conditions provide data for positioning, orientation, form analysis and solid>void relations of
the building. This form of modeling is highly abstract in terms of material choices, detailed
space visualization and structural detailing. It is likely to observe them constructed
completely with the same material, or painted entirely white for the most part. In some cases
color>coding may be applied, with different colors or color toning.52
Different than block models, space models designate the spatial relations and spatial qualities
of design. They function as more likely three dimensional sections, which concentrate on a
central space of a certain design work. They may indicate the qualities of interior and
exterior spaces, or both, as to demonstrate inside>outside relations. In this sense, they are
highly associated with the outcomes of façade design as an interface, along with the quality
of lighting. Interestingly, space models can be commented as the type of models where the
human scale is emphasized the most. The model>maker tries to give a sense of the space by
trying to take the viewer to that scale. Another situation which may support this notion
would be that the photographs of space models are frequently used to accompany other
presentation materials to additionally provide a sense of space. In these terms, space models
are seen to be used as a platform to produce images of spaces for the design work which the
designers wish to emphasize.
52
Porter and Neale.
% -
2
%
24
p.26.
&1'! ;4 Working model of Ben van Berkel and Caroline Bos. Constructed for the VilLA NM, Upstate New
York.
Ben van Berkel and Caroline Bos. * %
Thames and Hudson, 2006. p.77.
)
)*
)
London:
Space models are generally observed to be built fast and tend to be abstract, emphasizing on
the spatial organization rather than the detailing. By their feature of rendering the interior
and demonstrating the spatial quality, it can be said that they are related to the interior
models and presentation models to some extent. However space models still lack this feature
of being part of a “finished” design, they are still alterable and their aim is to provide a quick
visualization for the spatial organization. With regards to interior models and presentation
models, space models lack their level of detailing and preserve their position in the designing
stage.
4 4:4;4
!'$ '! - *", -
Structural models are specified in terms of solving the structural system and related details
for the design work. As indicated in the section of the “working models,” structural models
try to reveal and solidify the structural system in detail, compared to its raw stage in the
working models. They may represent “isolated problems, or exist as fully developed
25
that communicate a determined structural strategy.53 The real space of the models
;
are greatly similar to that of buildings, consequently, structural models provide a trusted field
to test the decisions.54 They can be platforms where both architects and engineers work.
Structural models are significantly detailed and precise in terms of creating the objective
ground for testing. As Tom Porter and John Neale observe;
Often skeletal in nature they [structural models] avoid any display of the total
external envelope in order to expose, test and demonstrate structural,
construction and service systems or their assembly.55
&1'! =4 Structural model of National Museum of Contemporary Art, Osaka, Japan. By Cesar Pelli &
Associates.
Tom Porter and John Neale.
Press, 2000. p.28.
53
% -
2
%
p.28.
54
Mark Morris.
55
Porter and Neale.
% -
2
%
26
p.28.
Oxford: Architectural
In addition, they provide a vast amount of input for designers to draw the construction
related boundaries. They function to carry the design closer to its materialization. But
structural model making still takes place in the design process, interacting with the working
models. The scales of the structural models vary immensely. Their field may extend to detail
models, full scale mock>ups or full scale prototypes, but it is encountered that they mostly
are realized by the building of structural units in order not to disturb the design budget. Some
challenging design ideas may require the building of full scale prototypes of structural units.
Parallel to the varying scales, material choice for the structural models also has a palette
ranging from conventional model materials as card or balsa, to real materials as timber or
metal.56 Detail models can be categorized as a form of structural models because they
concentrate on an isolated detail of the structural system. They more likely function to
visualize the details and test certain structural decisions. Similar to the structural models,
they are produced in the design process. Their scales may vary but some of the conventional
scales are 1:10, 1:5 and 1:1. Although detail models would serve other purposes, they usually
function as visualizers in terms of clarifying joints which would be perceived with difficulty.
&1'! <4 Full>scale Peregrine Winery steel roof detail study model, by Architecture Workshop.
Homo Faber: Modeling Architecture Exhibition Catalogue,
+
&
Melbourne: RMIT School of Architecture and Design, 2006. p. 45. (Copyright Reserved.)
56
. p.29.
27
2
)
4 4:4=4 !
(
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When the subject of architectural modeling is brought into discussion, the model types that
first come into mind are the presentation models. They are the models that are built to
represent the final design work. They are the “complete and fully>detailed composition of an
architectural solution.”57 They are seen to mark the complete ending of the design process.
Presentation models are built beautifully and precisely, and they are more realistic in order to
provide the exact communication with the viewers, who are other designers, peers and
clients.58 Albert C. Smith notes that presentation models are not open to interpretation in
terms of design possibilities and carry the function of informing.59 Apparently, it can be
observed that the material choices for such models can be multifarious. They may be built
with materials that reflect how the original building would look like. They may as well be
more abstract, which may especially be the case with competition entries.60 In such
competition proposals, architects choose wide>ranging materials and techniques, and they
may challenge the “realistic look.”61 For example, such abstractions can be observed in
models built entirely with glass or timber blocks, painted completely white, or with the usage
of other interesting materials as acrylic models. Some architects may choose strong colors to
put emphasis on certain design ideas or approaches.62
The attitudes in the presentation models are immensely associated with the model>makers
working styles and techniques, too as presentation models are generally built by professional
model>makers, though some architects prefer to produce them in house.63 The presentation
models manifest the dialogue between the architect and the model>maker. Many leading
57
. p.34.
58
.
59
Albert C. Smith.
60
Porter and Neale.
% -
2
%
61
Porter and Neale. “Chapter 3: Models in Practice,” and “Chapter 4: The Makers of the Supermodel,” in
% 2
%
Oxford: Architectural Press, 2000. In both chapters,
Tom Porter and John Neale concentrate on how the models are incorporated in the design process, especially in
competition entries. They provide the reader with various images of models as well as the process of model>
making from the perspective of professional model>makers. This is very interesting in terms of learning what the
designers would like to emphasize in their specific projects, why certain model materials and techniques are
incorporated in their practice.
62
.
63
.
28
architects and architectural firms work with a certain model>maker. This helps to build easier
communication grounds between the designers and model>makers after a certain amount of
time. In addition, it can be observed from the practices of cutting>edge designers world>wide,
such modeling techniques provide the architect or the firm a consistency in their presentation
and even design language constructed through the presentation models. Because it is very
much the case that a design work is identified with the “image” produced out of its
presentation model. In this sense, such models are important for architects to form their
design portfolio where most of their works are usually preserved for eternity, either the
realization of their buildings takes place or not.
&1'! >4 The model of Zaha Hadid’s New Center for Contemporary Arts in Rome. Built by Ademir Volic. He
used materials as perspex, acrylic and Urial. CNC technologies are also employed in this model.
http://www.archnewsnow.com/features/Feature60.htm (last accessed on 03.04. 2008.)
4 4 4
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1 ,E !"$
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As observed, when design practice is comprehended as a progression through the
employment of such model types as discussed, a discreteness of actions is put forward. In
other words, with the design methods terminology “knowledge states” and “branches of
actions” are defined. The process of design is acknowledged to bear linearity and it is leveled
29
in which the design is concretized and solidified as the modeling process reaches towards the
end.64 With the employment of models from conceptual to presentational aspirations, the
scale enlarges and respectively details and constructional issues are resolved. In this format,
it can be proposed that the design process is intrinsically acknowledged to be discrete, and
on each level of design, a new model is required.
On this staging of design, it can be pointed out that the requirement of a new model in a
specific design might work in two ways: Either a certain amount of design knowledge is
saturated in that step and the need to building a new model occurs in order to materialize this
accumulated knowledge; or the process is stopped intentionally to switch to another,
probably larger scaled, model in the purpose of provoking the detail>solving process and
producing design knowledge in this scale and medium. Another proof of the staging would
be detected from the preferred scales of the models. It can be observed that the leveling also
manifests itself in the scale. There are many conventional modeling scales incorporated by
designers, although unusual scales might be chosen occasionally. The conventional scales
are 1:500, 1:200, 1:100, 1:50 and 1:10. This graded sequence might be carried out until the
production of 1:1 prototypes, and eventually the building itself.
In the field of physical models, many scholars as Peter Downton and Andrea Mina have been
arguing that the “conceptual model” and the “working model” carry the most potential by
their virtue of conceptual elasticity and design uncertainty.65 These types of models carry the
64
Peter G. Rowe. “Procedural Aspects of Design Thinking.”
65
Peter Downton. “Making Dust, Acquiring Knowledge.” Homo Faber: Modeling Architecture Exhibition,
Melbourne: RMIT School of Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
pp.8>12.
Peter Downton. “Temporality, Representation and Machinic Behaviours: Model Dialogues with the Self,
Collaborators, Clients and Others.” Homo Faber: Modeling Architecture Exhibition, Melbourne: RMIT School of
Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
pp.33>8.
Andrea Mina. “Modeling Architectural Form.” Homo Faber: Modeling Architecture Exhibition, Melbourne:
RMIT School of Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
pp.39>41.
The inquiry on why architects do and should use models has been going on for quite a period in architectural
history. The function of models in the digital age is unquestionably important; hence they are indispensable to the
design process by way of computer>aided design. However the questionings on modeling had already begun in
the pre>digital age, especially with the “Idea as Model Exhibition” held in Manhattan in 1976. After thirty years,
the “Homo Faber, Modeling Architecture Exhibition” (Melbourne, 2006) develops similar arguments on
modeling. It can be seen that both exhibitions seek to clarify and investigate modeling as a means of design and
architecture. The discussions are carried on a more theoretical level, taking into considerations all forms of
modeling during designing: Physical modeling, computer modeling, or processes in which both modeling forms
30
properties of being easily built and rebuilt, and usually chosen to be built fast and rough.
They carry the great potential of being open to many possibilities. These sorts of models are
observed to be usually used until a satisfactory stage in design is reached. They also seem to
carry the interesting attribute of transmitting the traces of previous assemblies since in most
cases a single model is used to test many ideas and assemblies.66
Nevertheless, the new design propositions offered by the virtual environment and
computational design methods are noticed to provide a much extensive level of continuity in
the course of design.67 With the recognition of these new design methods and media,
architectural modeling seems to have gained the capacity to dislocate numerous design
conventions and hierarchies.68 It has been experienced that novel design procedures,
performed both in virtual and physical realms, have been gaining strength from the
interaction of the virtual and real through the models.
4;4 %
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Morrison and Ostwald argue that the history of the architectural model is a fragmented one
as very few models are preserved after the construction of the project they represent.69
Additionally, contrary to architectural drawings and texts, the model is difficult to preserve
and maintain. As Morrison and Ostwald observe further, the pre>date the twentieth century
models have had symbolic or metaphoric purposes other than being design equipments.70
Prior to the fourteenth century, beginning with the Egyptian and Greek antiquity, scholars
have knowledge of scaled down representations.71 In the Egyptian culture, the model was
are utilized. It should be mentioned that such a perspective offers a more holistic comprehension of design and its
means and processes.
66
Peter Downton. “Temporality, Representation and Machinic Behaviours: Model Dialogues with the Self,
Collaborators, Clients and Others.” pp.33>8.
67
William J. Mitchell. “The Poetics of Virtuality.”
York: Princeton Architectural Press, 1998. pp.205>17.
68
.
3
69
Edited by John Beckmann. New
Tessa Morrison and Michael J. Ostwald. “Shifting Dimensions: The Architectural Model in History,” in Homo
Faber: Modeling Architecture Exhibition, Melbourne: RMIT School of Architecture and Design, May 2006.
Edited by Brenda Marshall. #
/
&
pp. 102>12.
70
71
.
Albert C. Smith.
31
associated with the divine and believed to represent the earthly and unearthly powers.72 In
Greek and Roman antiquity, models found a wide range of usage, allowing the design of
very complex structures by the end of the Roman Period.73 In Greek and Roman architecture,
the models of intricate building pieces, such as the triglyphs or capitals, were modeled in 1:1
.74 But the
scale which guided the workers at the site, and were referred to as -
model was not employed as a design tool, and this situation has been argued by the
archaeologist J. J. Coulton as that the Greek and Roman architects found models “positively
misleading.”75 In a parallel manner, Mario Carpo explains about the use of verbal
descriptions and documentations which guides the design process as a “program,” instead of
a visual data transferal.76 In the Medieval and Gothic periods, the models were utilized to
celebrate the building’s bearer’s achievement, to be offered as a devotional gift, or represent
the ownerships.77 As observed, prior to the fourteenth century, the model was not necessarily
linked to the design of a building, in other words, it was not necessarily recognized as a
design tool. However, since the Renaissance, the architectural model is recognized in its two
forms, as the presentation models and the working models, as we understand them today.78
The philosophical shift with the Renaissance humanism provided the Renaissance architects
an enormous freedom in the interpretation of design and this introduced a complete novel
understanding in architectural practice.79 Smith mentions that by the sixteenth century, the
architect was finally seen as the exclusive creator and controller of building design and held
72
Spiro Kostof. “The Practice of Architecture in the Ancient World: Egypt and Greece.”
#
2
Ed. Spiro Kostof, New York: Oxford University Press, 1977. p.5.
73
William L. MacDonald. “Roman Architects.”
& Spiro Kostof, New York: Oxford University Press, 1977. pp.14>7.
74
J.J. Coulton.
1995.
<
77
2
-
Ed.
Tessa Morrison and Michael J. Ostwald. “Shifting Dimensions: The Architectural Model in History.”
75
76
#
&
,
! , 2
%
Oxford: Oxbow Books,
Mario Carpo. “Drawing with Numbers: Geometry and Numeracy in Early Modern Architectural Design.”
%
#
62.4 (2003): 448>469.
Albert C. Smith.
p.18.
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.”
78
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.”
79
Albert C. Smith.
p.56.
32
full responsibility for his practice.80 It can be commented that, with this freedom, the
Renaissance introduced a more dynamic design process and these new conceptions required
the construction of scale models to visualize the architectural space. There was a much more
innovative planning procedure; therefore it became common practice to fabricate models.81
In their models, architects used materials as wood, clay or plaster.82 Wax models served in
the study of details, a practice taken over from Roman techniques.83 Architects used “pull>
away sections and detachable roofs and floors” to demonstrate mass and space relationships
and lighting qualities.84 However, it is observed that the modeling practice in the
Renaissance became more associated with communication with the clients and expert
craftsmen.85 In the sixteenth century, every building part was made to order86 and unlike the
Medieval tradition, architects were not always present at the stone yard or the building site;
therefore he had to communicate with his craftsmen by means of a mediative technique. 87 At
this point, it can be observed that the traditions of drawing and modeling had to be readjusted
to serve such functions. Then again, As Wilkinson emphasizes, the architectural model was
primarily built for the patrons, and seldom for the public. As Wilkinson observes, at this
point, when the model’s numerous roles gathered on one certain model type, the presentation
models began to be built in extreme detail and precision.
Model>making was getting increasingly expensive and time consuming in this sense.88
Philibert de l’Orme (1510>1570), the French Renaissance architect, complained that
80
. pp.25>30. However, it should be remembered that, although the designers could get the credits for their
work, as Wilkinson reminds, the profession was not yet in its modern form, which is a formation of nineteenth
century.
Catherine Wilkinson. “The New Professionalism in the Renaissance.”
2
Ed. Spiro Kostof, New York: Oxford University Press, 1977.
81
Albert C. Smith.
82
Porter and Neale.
83
Albert C. Smith.
84
Porter and Neale.
85
Catherine Wilkinson. “The New Professionalism in the Renaissance.”
&
pp.25>30.
% -
2
%
p.3.
%
p.3.
p.25.
% -
2
86
. As Wilkinson points out, this practice was altered with the Industrial Revolution.
87
.
88
Albert C. Smith.
p.25.
33
-
#
brilliantly crafted and painted models could mask bad design.89 In addition, he also pointed
out that for the reason that such a model had to include all major parts of a building, they
were costing fortunes.90 He nevertheless advised the patron and the architect to invest in such
models because they were exceedingly valuable in the long run.91 There was a trust and
encouragement in modeling therefore the Renaissance experienced various modeling
techniques.92 In addition to the many model examples, the writings of Leon Battista Alberti
(1404>1472) provide the most valuable source to illuminate the vision on modeling and the
profession. In his
+
(1452, “On the Art of Building in Ten Books,”) he
meticulously studies what the utilization of the model meant for the profession and how the
use of model should be.93 He states that, architectural models serve in the decision of the
sizes and proportions of building pieces, producing new proposals and alterations until
everything becomes satisfactory, and provide a space for examination where the whole
assembly can be conceived.94 It is clear that Alberti saw the architectural scale model as a
means to study design in the sense of a
;
. As the models served both as design and
presentation tools, Alberti felt the need to clarify the language of the models: He complained
about the colored and overly dressed presentation models which would “seduce the eye of
the beholder” and distance the architects’ intentions on conveying the facts.95 Instead, he
proposed a plain and simple model language, where “the models are not accurately finished,
refined, and highly decorated,” by way of which models could now demonstrate the design
Leopold D. Ettlinger. “The Emergence of the Italian Architect during the Fifteenth Century.”
& #
2
Ed. Spiro Kostof, New York: Oxford University Press, 1977. p.109.
89
Catherine Wilkinson. “The New Professionalism in the Renaissance.” pp.142>3.
90
91
92
There were many cases in the Renaissance where architects built full>scale wooden models of building parts
situated on site so that it could be experienced in its reality. It was also common practice to build full scale
models of important and repeating building parts, and also statues and reliefs, in order to place and visually test
them on the actual building until they find their eternal form in stone. An example of such a full scale model was
“Michelangelo’s ten>foot full>scale model of the cornice for the Farnese Palace.” Michelangelo was very
enthusiastic about using models, particularly clay models, because he found them exceptionally demonstrative.
One other reason he used models was that he did not want to use perspective drawings, extensive plans or
elevations of which he thought were visualizing design from a fixed point.
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.106.
93
Leon Battista Alberti. '
"
" , Translated by Joseph Rykwert, Neil Leach, and
Robert Tavernor. Cambridge, MA: The MIT Press, 1988. p.33>4.
94
p.34.
95
. p.35.
34
idea instead of the skill in fabricating the model.96 Though the endeavor of Alberti to
simplify the language of presentation models in the fifteenth century, the practice again
tended to fabricate fancy and large>scale models because their effectiveness on the patrons
was truly strong and helped architects to market their designs.97
In 1660, the foundation of the Royal Society of London was a major circumstance in
defining the scientific research methods of the era.98 Roger Pratt favored the use of models as
a means to record the design process.99 He stated that “all things both external and internal
with all their divisions, connections, vanes, ornaments etc., […] there to be seen as exactly,
and in their due proportion, as they can afterwards be in the work of which this is composed
to be the essay.”100 Additionally, Morris reminds that architectural models became very
detailed presentation models for explanatory purposes in the seventeenth century.101 In the
mid>eighteenth century, a more technical form of model began to be used as the “teaching
model.”102 This model was for instructing technical students and engineers in more complex
structural and constructional conditions.103 In the attitude towards modeling, Morrison and
Ostwald mention that architecture was seen genuinely akin to painting in this period.
Therefore architecture became the making of the painting, or the model, in other words the
visual representation. Towards the end of the eighteenth century, Gaspard Monge introduced
descriptive geometry which can be defined as “the projection of three>dimensional figures on
96
97
.
Mark Morris.
Porter and Neale.
98
% -
2
%
p.6.
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.106.
99
100
Pratt as quoted by John Wilton Ely, “The Architectural Model: 1. English Baroque.” 252. Quoted in Morrison and Ostwald, , p.106.
101
October 1968:
Mark Morris.
One spectacular example was Sir Christopher Wren’s giant model of his proposal for the new St. Paul’s Cathedral
which was completed in two years. When the fire damaged the cathedral, Wren was commissioned to design the
new cathedral. The model of the cathedral was built in a scale of 1cm to 45cm, so allowed a person to walk in and
experience the real space.
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.107. For more detailed
information on Christopher Wren and the construction of St. Paul’s model, please see the source.
102
103
p.12.
.
35
the two>dimensional plan through the manipulation of angels, lengths and shape.”104
Morrison and Ostwald note that, with this method, the visual representation techniques
regained their universal power.105 Perez>Gomez explains this dramatic shift in the
appreciation of the representational tools as that:
The original architectural ideas were transformed into universal projections
that could then, and only then, be perceived as reductions of buildings,
creating the illusion of drawing as a neutral tool that communicates
unambiguous information, like scientific prose.106
In the early nineteenth century, models kept their status in important design undertakes. The
materials of models increased in variety: In addition to timber, other materials such as
plaster, cardboard, gypsum, pasteboard and cork were also used.107 By “the growth of the
print medium, the introduction of specialized architectural drawings, virtuoso draftsmanship
and especially colored artist’s impressions with emotive lighting tricks and scale” the
drawing seized the central role of modeling yet again.108 There were also prominent
objections to the decline of modeling. John Soane, in his lecture to the Royal Academy,
stated that;
Many of the most serious disappointments, that attend those who build,
would be avoided if models were previously made of the edifices proposed to
be raised. No building, at least none of considerable size or consequence,
should be begun until a correct and detailed model of all its parts has been
made. Such models would be of great use not only to the workmen, but to the
architect likewise.109
Morrison and Ostwald note that in the mid>nineteenth century there were an increasing
number of exhibitions and museums, and respectively there was popularity in modeling in
the form of engineering models and exhibition models.110 However as modeling was
104
105
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” pp.107>8.
. p.108.
106
Alberto Perez>Gomez. “Architecture as Drawing.” <
107
Porter and Neale.
108
% -
, Winter 1982. pp.2>7.
2
%
p.12.
.
109
Anthony Vidler. “Introduction.” 05
& 0
/) Paris: Lenoir, 1983. p.ix. Quoted in Morrison
and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.108.
110
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.108.
36
becoming more costly, many architects did not prefer to invest in models.111 By the late
nineteenth and twentieth centuries, modeling was getting even less popular. However there
were names such as Antonio Gaudi y Cornet (1852>1926), who rejected to study with
drawings, but with a fascinating modeling technique in order to achieve an exceptionally
complex three>dimensionality in his buildings. He employed two modeling techniques:
Firstly he constructed models with white plaster; secondly, he used hanging wires, ropes and
chains to study the geometry and loads.112 It is interesting that Gaudi did not use many
drawings; instead he preferred highly complex models to visualize these advanced geometric
forms.113 His models also function as engineering models to test the complex structural
system of his complex forms. He chose to follow geometry and defined mathematical
models in constructing his buildings and particularly employed ruled surfaces, and also
referred to second order geometry.114
&1'! ?4 Three types of models which Antoni Gaudi worked with. The white plaster model (left) and hanging
wires and chain model (middle), and rope model (right).
Albert C. Smith.
111
112
113
Oxford: Architectural Press, 2004. p.91, p.94 and p.95.
.
Albert C. Smith.
p.91.
. p.94.
114
Mark Burry. “Temple Sagrada Familia.” Homo Faber: Modeling Architecture Exhibition, Melbourne: RMIT
School of Architecture and Design May 2006. Ed. Brenda Marshall. #
/
&
pp.13>8. There are records from his student days in Barcelona that show that he studied
descriptive geometry and this was a core study in his architectural education. He chose an exceedingly complex
language which he thought would reflect the aesthetics of his system. He mostly studied with models, alongside
with drawings but drafting would be highly reductionist at this level of complexity.
37
Unlike the embracement of modeling in Antoni Gaudi’s approach, as Morris remarks, the
Albertian model and its conception of three dimensional design processes were not
profoundly accepted until the twentieth century.115 The major change in architectural design
and modeling was realized to a great extent by the Bauhaus education.116 The Bauhaus
introduced a revolutionary approach to reunify conception, visuality and materiality.117
Walter Gropius and Johannes Itten arranged the curriculum of Bauhaus education with the
hope of “bridging the disastrous gulf between reality and idelism.”118 In this context, the
students were highly encouraged to work with models and bring their studies closer to
reality, contrary to paper designs. Although the curriculum included studies of drafting and
plane geometry, students were fostered to test the mass and space relationships and
lighting.119 Itten had also introduced a form of model which was a “vehicle of pure
creativity.”120 Bauhaus tutors were trying to release the architectural model from its
representational character, and bring it into the design. In later periods of the Bauhaus,
Laszlo Moholy>Nagy introduced a partly transparent form of model, called “the space
modulator,” to visualize design and to relate concepts to materials.121 The architectural
model was actively used as a medium in the design process, not only for presentational aims.
Architectural practice was trying to be tied to its architectonics, as it had lost it with two
dimensional visualization. Although this encouraged shift was not immediately accepted,
115
Mark Morris.
Morris cites Colin Rowe who points that the two architectural education systems that have ever enjoyed a deep
success in architectural history are The École de Beaux Arts and the Bauhaus. As Morris observes, the École de
Beaux Arts strongly excluded architectural models out of the school and identified the architect with the drawing.
In this sense, the material aspect of architecture was excluded and an idealism in drawing was preserved.
Although the École de Beaux Arts enjoyed a wide acceptance, the Bauhaus was the school to introduce a
revolutionary approach in its education on which architectural modeling is based today.
116
Colin Rowe. Comments of the Director to the Design Faculty [attributed to Colin Rowe,] 25 May1954 (copy
held in the Hoesli Archives, ETH, Zürich,) cited in Alexander Caragonne.
/ +
)
*
Cambridge, MA: The MIT Press, 1995. p.155.
117
.
118
Walter Gropius.
$
"
Trans. P. Morton Shand. London: Faber&Faber,
1935. p.48. Walter Gropius took over the “Weimar School of Arts and Crafts” from Henri van de Velde in 1919.
Van de Velde had already transformed the
of the French Academy to the “workshop.” Gropius
reorganised the Arts and Crafts School with the Academy of Fine Art, and founded the Bauhaus. Gropius tried to
offer a “unification of the arts under the primacy of architecture.” The revolutionary Bauhaus curriculum was
created by Walter Gropius and Johannes Itten.
119
Porter and Neale.
120
Mark Morris.
121
Porter and Neale.
% -
2
%
p.21.
% -
2
%
38
p.13.
both in the first years of the Bauhaus and among professional practitioners, the architectural
model always formed a part of the Bauhaus manifesto.122
4 The “light space modulator” by Lazslo Moholy>Nagy, 1922>1930. Reconstructed in 1970.
&1'!
“Bauhaus Art,” Reached at: http://www.bauhaus.de/english/bauhaus1919/kunst/kunst_modulator.htm (Last
accessed on 04.07.2008.)
Meanwhile, there were also symbolic usages of
;
>like models by Russian
constructivists. For example, Vladimir Tatlin’s (1885>1953) proposal for the Monument of
the Third International was a centerpiece for the movement, which was also trying to define
a novel reference system in a social and political context.123 Other than Tatlin, El Lissitzky
(Elaazar Markovich, 1890>1941) conceptualized a very interesting form of model in addition
to his conventional models: These were his “Prouns,” an acronym for “Project for the
Affirmation of the New.”124 Prouns included many two and three>dimensional geometrical
elements and had their own reality; for instance, they could overcome real gravitational
forces and they could distortedly adjoin. 125 El Lissitzky tried to question the dimensional and
122
Mark Morris.
Nevertheless, in addition to these studies, many
mainstream architects kept the traditional modeling techniques for years, as a means to sole presentational
purposes. Examplified in: Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.”
p.109.
123
Albert C. Smith.
124
. p.103.
125
.
p.98.
39
representational capacity of the traditional artistic techniques and proposed a challenging
method.126
&1'! @4 A model of the “Proun 5a ” by El Lissitzky. Remodeled by Rob Robbers by computer modeling
software.
“Prouns.” Reached at: http://lava.ds.arch.tue.nl/modelshop/lissitzk/prouns_r/ (Last accessed on 04.07.2008.)
The Bauhaus successfully continued to educate with many directors127 until it had to be
closed under the Nationalist Socialist pressure.128 The school was first moved to Chicago,
but after 1937, the Bauhaus teachers migrated to various schools around the US.129 As
Morris observes, the tutors in many institutions proceeded in teaching with the Bauhaus
tradition. Today the Bauhaus effects are deeply penetrated in educational systems of
architectural schools in the US and it is also evident from the major number of polytechnical
126
Very similar to the hands>on approach of the Bauhaus, El Lissitzky had advocated: “Don’t read! Take paper,
block, wood pieces; build, paint, construct!” In: El Lissitzky.
$ %;
1920. Quoted in: Mark Morris.
Chichester, West Sussex: Wiley Academy, 2006. p.21.
127
Laszlo Moholy>Nagy took over the directorship from Johannes Itten in 1923. He srtengthened the school in
the constructivist subjects. In 1927, the Bauhaus moved to Dessau to the building that Gropiu designed. In 1928,
Hannes Meyer became the director, and Ludwig Hilberseimer owned the headship. In 1930, three years before
the school was closed, Mies van der Rohe began to direct the Bauhaus.
Peter Galison. “Aufbau/Bauhaus: Logical Positivism and Architectural Modernism.” &
(Summer 1990): 709>52.
128
Mark Morris.
;
) n. 16
p.22.
129
After this period, Walter Gropius and Marcel Breuer went to Harvard. Mies van der Rohe moved to the
Armour Institute, which later bacame the Illinois Institute of Technology. Josef and Anni Albers went to the
Black Mountain College in North Carolina. Meanwhile, Philip Johnson became the director of the Department of
Architecture at the Museum of Modern Art in New York. He relentlessly promoted Bauhaus and Modernist
influences in the exhibition and exhibition catalogues.
Mark Morris.
p.22.
40
schools in Europe.130 But this success was obtained after long years of work among many
schools.131 Especially the shift in the attitude towards architectural modeling was seen only
towards the end of the twentieth century. Morris mentions that, in the 1940s and 1950s, there
was still a general tendency in the educational realm to use the Beaux>Arts system.132
Students persistently relied on drawing as the main design medium. Morris adds that, in the
1960s, modeling began to be conceived as an “alternative method” to drawing, but still only
found its place again in the presentation of projects; meanwhile professionals also used
presentational models but even then it was seen as luxury and avoided in many cases.
In this context, the “Bauhaus” model owes its survival today to somewhere outside of the
architectural school.133 As Morris mentions, Philip Johnson had inexhaustibly advocated the
Bauhaus tradition and Modernist influences in his exhibitions in Museum of Modern Art in
New York.134 Johnson, Hitchcock and Barr exhibited various models, both from the school’s
work and faculty’s private productions, in the “Modern Architecture: International
Exhibition” at the MOMA held in 1932.135 Again in 1969, Johnson was the curator of “The
New York Five” exhibition held at Museum of Modern Art.136 These exhibitions lead to a
very important one that was prepared by Peter Eisenman: The “Idea as Model” exhibition
held at the Institute for Architecture and Urban Studies in 1976.137 This was the milestone of
architectural modeling, as being “the first exhibition solely devoted to the scale model as an
index of process and a site for theoretical inquiry.”138
130
. p.23.
131
.
132
.
133
.
134
.
135
“The Museum of Modern Art, Exhibitions.” Reached at:
http://www.moma.org/exhibitions/exhibitions.php?id=5138 (Last accessed on 01.06.2008.)
136
. “The New York Five” refers to architects whose work is chosen by Philip Johnson: Peter Eisenman,
Michael Graves, Charles Gwathmey, John Hejduk and Richard Meier. The book of the exhibition was released in
1975.
137
138
Mark Morris.
.
41
;
F
Modeling, in its many roles, is observed to be accommodating deep>rooted traditions, which
are seen to be challenged in the second half of the twentieth century by the shift from the
non>digital space of design to the digital space of design. The “non>digital” refers to the
discussions that are predominantly carried on the “real” space of design, which refers to
studies on material and tactile forms of models – in other words, the physical models.
Meanwhile, the digital refers to the digitally constructed models in the “virtual” space of
design, whose expansion is the computer models in most of the cases. The relationship
between the “real” and the “virtual” has every so often grown to be a very problematic issue
for the architects, but at the same time this tension has been feeding the architectural
discourse in various fields of research for over more than thirty years.
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In the 1960s and 1970s, many architects and theoreticians were discussing about the design
process in terms of “design methods.”1 One of the key themes was the “means>ends
analysis,” where the design tools were conceived as the means to reach a predetermined
result, the ends, and another the “process>product” relation as design was related to a
problem>solving process.2 In time, these discussions grew to be an important part of design
computation and the procedural and cognitive aspects of design had become the major
focus.3 A very early work, Nicholas Negroponte’s book
(1973)
1
Geoffrey Broadbent. “The Development of Design Methods.”
13(1): 41>5, 1979.
Among these conferences, the “Design Methods in Architecture Symposium” held in 1967 in Portsmouth School
of Architecture was an important one to gather names as Geoffrey Broadbent, Bruce Archer, Jane Abercrombie,
Gordon Best, Anthony Ward, Christopher Jones, and many more. In the interdisciplinary convention, very early
discussions on various fields of research had been discussed. Anthony Ward explains the main spectrum of
discussion as dualities: “Subjective>Objective, Abstract>Real, Value>Fact, Process>Product, and Determinist>
Existential.” As observed, many themes formed early discussions on design computing.
Anthony Ward. “Introduction.”
London: Lund Humphries, 1969.
2
3
Eds. Geoffrey Broadbent and Anthony Ward.
In the previous chapter, the scientific approach to design is discussed in the sub>section of “Working Models.”
.
42
discussed key stages in the relationship of computer with the design process.4 Within the
architectural community, the questioning on the architectural model was officially
recognized firstly with the “Idea as Model” exhibition held in 1976.5 The exhibition was
supported by Peter Eisenman, derived by “the urge to re>think the architectural model.”6 The
exhibition bears its significance by being the first exhibition that focuses solely on modeling
which is recognized as a design instrument and which would work on a theoretical level.7
The model’s representational capacity was a key theme. The major purpose of the exhibition,
as stated by Eisenman, was to “encourage other architects to adopt the idea of a model as a
conceptual as opposed to narrative tool, as part of their design process.”8 As Morris states,
this exhibition took place in a yet pre>digital environment, nevertheless he emphasizes that
the architectural model had already begun to be questioned in terms of its function in both
design and theory.9 However the change in modeling towards a more complex formation was
already in the air even when these discussions were carried.
In the 1980s the computer media was introduced into the realm of architecture by
elementary CAD tools. These tools were firstly recognized for the purpose of drafting,
serving more in the presentational phases of projects.10 Jon Pittman explains that, one reason
to the slowness in computerization was the very high expenses owning the machines.11 He
states that even major firms could afford computers to very limited numbers. Towards the
end of the 1980s, by the emergence of personal computers, architects could find the
4
Nicholas Negroponte.
5
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.109.
Cambridge, MA: The MIT Press, 1973.
6
7
8
Peter Eisenman. “Preface.” Eds. Kenneth Frampton and Silvia Kolbowski.
New York: Rizzoli,
1981. p.1. Quoted in: Tessa Morrison and Michael J. Ostwald. “Shifting Dimensions: The Architectural Model in
History.” p.109.
9
Mark Morris.
p.23. Nevertheless, Morrison and Ostwald clarify that
the models in the exhibition were not working models, but were rather conceived as “completed objects in their
own right.” They explain further that Eisenman’s major critique of the model’s representational character
occurred later with his “House X Project” in 1978, when he proposed the model as “a series of objects,” and as a
finished architectural project, not as a representation of something to be built.
Morrison and Ostwald. “Shifting Dimensions: The Architectural Model in History.” p.109.
10
11
Jim Glymph. “Evolution of the Digital Design Process,” in
Edited by Branko Kolarevic. New York: Taylor and Francis, 2003. pp.101>20.
Jon Pitmann. “Building Information Modeling: Current Challenges and Future Directions.”
43
technology at their disposal.12 However, even in the 1990s, although many professional firms
used CAD, they still employed it with the purposes of two>dimensional representation.13 For
instance, Sevaldson mentions that he got acquainted with computer modeling directly as a
design tool in three dimensions and observes that although architects had inclusive abilities
of three>dimensional systems then, they did not use it extensively as a design tool.14 Pittman
reminds that in the 1990s, the studies on “model>based design” had successively begun,
though not with full potential.15 Some of the mainstream architects to realize this potential of
computer technologies later became the most representative figures of Computer Aided
Architectural Design (CAAD.) Among these, Peter Eisenman and Frank Gehry16 are mostly
associated with CAAD in its early periods. At the beginning, it can be seen that architects
tried to recognize the capacities of CAAD, its boundaries, and the possible utilizations of the
upcoming design method. This period is observed to be a highly experiential one.
Pittman observes that in the 2000s the “digital architecture” has grown strong with a good
number of availabilities but he still questions when this practice would become
mainstream.17 In this context, it can be said that digitalization has not been fully realized yet.
Nevertheless it is a fact that computers have already become an indispensable part of
architectural design and production today.18 This shift so far can be said to have occasionally
12
13
Yu>Tung Liu. (ed.) “Digital Creativity: Conversation with Birger Sevaldson / OCEANnorth.”
=
>
?
Birkhauser, 2005. pp. 68>73.
$
. Basel:
14
. Sevaldson actively used “NURBS geometries” in his design, and he formulizes his practice in that period
as “NURBS functions” as opposed to “presentational purposes.”
15
Jon Pittman. “Building Information Modeling: Current Challenges and Future Directions.”
16
As Liu explains, Gehry studied to develop a “non>rule based” architecture by “overcoming the constraints of
two>dimensional matrix type models.” In terms of CAAD, Frank Gehry’s Guggenheim Museum Bilbao in Spain
(1997) is viewed as a milestone. In this project, Gehry used a 3>D digitizing technique, where he combines
physical models with virtual models. With such a process, he was able to produce a variety in his forms and
spaces.
Frank Gehry. “The Search for a No Rule Architecture.”
+
102 (1976.) In Cheng>Yuan Lin.
“The Representating Capacity of Physical Models and Digital Models.” In &
+ 7@@@) 2
A
&
& +
, Shanghai: Tongji
University, College of Architecture and Urban Planning. p.56.
Alejandro Zaera. “Frank O. Gehry,”
17
& ;
74>75, 1991>1995.
Jon Pittman. “Building Information Modeling: Current Challenges and Future Directions.”
18
William J. Mitchell. “Antitectonics: The Poetics of Virtuality,” in John Beckmann, (ed.)
3
) + &
&
New York: Princeton Architectural Press, 1998.
pp.205>17.
44
been formidable both in architectural theory and practice.19 With the introduction of “virtual
space,” there arose a highly problematic duality between the “real” and the “virtual” spaces
of design. Therefore, in order to understand the many dualities that occur between the “real”
and the “virtual,” it becomes crucial to define these terms and to discuss related subjects in
philosophical terms.
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In conventional usage, reality means “the state of things as they actually exist.”20 Luigi
Puglisi explains that “[t]he term reality, in its widest sense, includes everything that is,
whether it is observable, comprehensible, or apparently self>contradictory by science,
philosophy, or any other system of analysis. Reality in this sense may include both being and
nothingness, whereas existence is often restricted to being.”21 Therefore, it can be understood
that the “real” is a term which finds its equivalent in the physical and material world, in the
conditions when an entity both exists or does not exist. Something real is obliged to have a
tangible characteristic. However, there is a common understanding to define the “virtual” as
the antonym of the “real,” in the aim of referring to what is not real, in other words what is
immaterial and intangible. Nevertheless, the meanings of these concepts bear important
differences, where constructing their relationship as opposites would be overly simplifying.
Additionally, within the context of computer>aided design, the term “virtual” has been overly
discussed, and misleadingly came to simply refer to the “digital space” of computer
modeling.22 At this point, a thorough understanding of Gilles Deleuze’s philosophy is
required in order to clearly elaborate the situations of reality and virtuality, and how they are
interpreted in the contemporary architectural domain.
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French philosopher Gilles Deleuze is widely known as one of the main figures in post>
phenomenological philosophy in the twentieth century. However, in order to understand him,
it is firstly needed to understand another French philosopher, Henri Bergson, upon whom
19
20
Compact Oxford English Dictionary of Current English, Oxford University Press, 2005.
21
Luigi Prestinenza Puglisi. # -
22
Greg Lynn.
Basel: Birkhauser , 1999. pg.79.
%-
45
Deleuze further developed his ideas. Henri Bergson commences by introducing a chief
notion in his thought, the notion of “
:.23 Alexander Sthyre explains that “[i]n his
writings, the virtual precedes any computer>mediated human>machine interactions and is
used to problematize the experience of lived time that he referred to as
Bergson uses the notion of
”24
or
as opposed to the mechanical clock time: Mechanical clock
time is the “abstract time”, and the
is the “concrete duration” which represents the
25
time wherein time is experienced. Therefore d
is not made up of discrete instances but
is continuous and coherent.26 Similarly, Bergson indicates that the “human experience of real
life is not a succession of clearly demarcated conscious states, progressing along some
imaginary line (from sorrow to happiness, for example), but a continuous flow in which
these states interpenetrate and are often unclear, being capable of sustaining multiple
perspectives.”27
In this respect, Bergson uses the idea of the virtual to explain the notion of
: In his
writings, the “virtual is used as an immanent state of the real, as a state of experience that is
real but not actual.”28 He argues that past and future are real, the present is actual, and they
are all entangled. According to him, “the past and the present are not two modalities of the
present, the past receded or formed present, a present that has moved out of the limelight.
Rather, the past and the present fundamentally coexist; they function in simultaneity.”29 In
parallel to Bergson, Deleuze accepts the idea that “the past and the future are real without
being actual; the present is actual and real.”30 The past occurred and the future will be,
therefore they are real; but they are not actual in the sense that the present is. So, the future is
23
Alexander Sthyre. “Knowledge as a Virtual Asset: Bergson's Notion of Virtuality and Organizational
Knowledge,” &
'
(
9.1 (2003): 15 – 26.
24
25
26
27
Stephen Linstead. “Organization as Reply: Henri Bergson and Causal Organization Theory.” '
9:1 (2002): 95 – 111.
(
28
Alexander Sthyre. “Knowledge as a Virtual Asset: Bergson's Notion of Virtuality and Organizational
Knowledge.”
29
Elizabeth Grosz.
MIT Press, 2001. p.142.
30
Gilles Deleuze. "
'
3
p.94>8.
46
+
%-
Cambridge, MA: The
full of unpredictable possibilities to be realized. Therefore it becomes fluid and open>ended.
As Bergson states, “the future is not ours to know but to realize.”31 Greg Lynn objects to the
misunderstanding of the notion of the virtual as merely referring to the digital space of
computer>aided design and its interchangeable use with the concept of “simulation.”32
Instead, referring to Deleuze, he emphasizes that virtuality is “intended as a diagram for a
future possible concrete assemblage”33 and adds that;
Thus, use of term virtual here [in the context of computer>aided design]
refers to an abstract scheme that has the possibility of becoming actualized,
often in a variety of possible configurations.34
In a parallel manner, Lars Spuybroek explains the fluid relationship between the real and the
virtual in his article “Motor Geometry:” “Why still talk about the real and the virtual, the
material and the immaterial? Here, these categories are not in opposition or in some
metaphysical disagreement, but more in an electroliquid aggregation, enforcing each other,
as in a two>part adhesive; constantly exposing its metastability to induce animation.”35 To
summarize these notions, the “real,” the “actual,” and the “virtual” bear such differences
than being mere synonyms and antonyms. It would also be a misreading when positioning
them as such isolated extremities, which in truth oppositely operate in fluid interaction with
each other.
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The discussions on the meaning of such terms lead to the notion of the “diagram,” which has
been introduced to the architectural realm by Gilles Deleuze.36 In the conception of Deleuze,
the “diagram” serves a similar function as the reconceptualized “future”, or more extensively
“time,” as previously put forward. As De Landa interprets Deleuze, diagrams have “no
intrinsic connection with visual representations”, as opposed to their utilization by many
31
Anthony O’Shea. “The (r)evolution of New Product Innovation.” '
32
Greg Lynn.
33
.
34
.
35
36
(
9:1 (2002): 113>25.
New York: Princeton Architectural Press, 1999. p.10.
Lars Spuybroek. “Graphs. The Sloughing of the Paradigm,” in
+
/Edited by Frédéric Migayrou and Marie>Ange Brayer. New York: Thames & Hudson, 2001. p.10>2.
Gilles Deleuze.
Paris: Editions de Minuit, 1986.
47
cognitive scientists and researchers.37 Additionally, as De Landa explains further, they do not
have to be operated by humans or robots, but “may be instantiated in even simple material
and energetic systems.”38 Deleuze constructs an “abstract oscillating machine” which is
actualized in all these configurations;
An abstract machine in itself is not physical or corporeal, any more than it is
semiotic; it is diagrammatic (it knows nothing of the distinctions between the
artificial and the natural either). It operates by matter, not by substance; by
function, not by form….The abstract machine is pure Matter>Function – a
diagram independent of the forms and substances, expressions and contents it
will distribute.39
As Manuel de Landa detects further, following the Deleuzian abstract machine, the
distinction between the virtual and the actual does not engage any resemblance, therefore
the diagram incorporates difference and are capable of divergent realizations. This makes the
process innovative and open>ended. When a possibility is actualized, there may be multiple
configurations which may not share any identity or resemblance at all. With this proposition,
it is observed that Deleuze opens up a pluralistic universe.40
When this theoretical shift in the definition of the Deleuzian diagram combines with the
introduction of CAD models in the 1980s, an experimental environment is seen to have
propagated by means of both theory and technology. For three decades, new design methods
have been tested by means of the new technological availabilities. Both with the
technological and conceptual transformations, traditional modeling techniques and design
methods are deeply challenged. It can be seen that the diagram and the virtual computer
model have constructed a similar relationship with their actualization processes. The notion
of the diagram has liberated architectural thinking and demanded a more comprehensive type
of model able to process itself.41 Meanwhile, the computer model improved as a highly
37
38
39
Manuel De Landa. “Deleuze, Diagrams and the Genesis of Form.”
.
Gilles Deleuze.
p.44.
40
Gilles Deleuze and Félix Guattari.
2
& Brian Massumi. Minneapolis: University of Minnesota Press, 1987.
41
9B (1998): 30>4.
%
( -
Ben van Berkel and Caroline Bos. “Diagrams, Interactive Operation in Operation.”
48
Trans. and Foreword
23 (1998): 19>23.
manipulative instrument for the realization of the diagram.42 In this sense, computer models
can be said to have revolutionized the design process.
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In the second half of the twentieth century, with the introduction of the digital environment
there has been a deep conceptual shift in architecture.43 However, the impulse behind this
shift was not only the availability of computer technology. The theoretical and philosophical
background of this period has also strongly proliferated architectural thinking with themes as
“multiplicity,” “complexity,” and “non>linearity.”44 These themes were also supported by the
studies in the complexity sciences and mathematical models whose dynamism were reflected
in architecture in its many aspects.45 The novel conception of the “diagram” has also played a
role in inaugurating animated and dynamic possibilities into design. Spuybroek configures
“computing” as an “enhancement of the communication between diagrams, a meta>
diagramming, to potentially connect all actions on matter.”46 He explains that;
[Diagrams] are lenses, mirroring a movement: first a contraction of matter –
energy onto an organizing surface, then an expansion into many new other
structures.
contraction – a movement of virtualization, where information is gathered,
selected, graphed, and then organized into a virtual machine: from a 3>D
network towards a 2>D surface. A movement toward quality, order and
organization.
expansion: a movement of actualization, where the organizational diagram is
put inside matter, where it germinates and becomes formative: from a 2>D
surface towards a 3>D structure. A movement toward quantity, matter and
structure.47
42
43
Branko Kolarevic. “Digital Morphogenesis.”
44
Gilles Deleuze and Félix Guattari.
45
John L. Casti. !
& Sons, 1997.
" !
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2
& &
%
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Bernard Cache. “Plea for Euclid.”
http://architettura.supereva.com/extended/19990501/index_en.htm.
Last accessed on 24 May, 2008.
46
47
Lars Spuybroek. 'C
New York: Thames and Hudson, 2004.
.
49
New York: John Wiley
He argues that this urge sourcing from the diagrammatic thinking lead the architects to
embrace computer>aided design. In addition, by this change in architectural thinking in this
agency, Spuybroek proposes that computer>aided conceptualization and computer>aided
manufacturing should become an indispensable part of such methods.48 As Kolarevic
interprets, the Deleuzian discourse demonstrated “a multiplicity of positions from which
different provisional constructions can be created, in essentially a non>linear manner,
meaning that the reality and events are not organized along continuous threads, in orderly
succession.”49 He summarizes that such recognition challenges the “linear causality of design
thinking.”50 Both within the design process and in the nature of architecture, “non>linearity”
is seen to emerge as a part of the complexity. Liu explains on “non>linear” thinking;
In response to the internet age with all the swift changes and ever>expanding
nature of information, the survival mechanism of humans in the digital era
has progressed from one of single direct linear mode of thinking to that of a
hybrid, multi>layer and hyper>link nature.51
Likewise, Ben van Berkel and Caroline Bos incorporate economic ramifications to the design
models and they also denote an alteration in the architectural project; they point that “[t]he
architectural project has changed, often now consisting of a multi>functional, public>private
hybrid of urbanism and infrastructure.”52 Buildings are now regarded as dynamic, open>
ended, and non>linear organisms which are in immense interaction with their environment.53
In this scope, it can be observed that the boundaries and the scale of the architectural project
have also changed. The building’s highly interactive mode with its environment brings forth a
complexity, and prevents it from becoming an isolated entity.
In the field of computer modeling, a designer is able to explore a richer domain with
ostensibly limitless possibilities: As Gao explains, this new position would “expand the
48
49
50
.
Branko Kolarevic. “Introduction.” p.4.
.
51
Yu>Tung Liu. “Architecture of Tomorrow: Ecological, Digital, Pure>Artistic, and Non>Linear Thinking,” in
=
>
?
$ . Basel: Birkhauser, 2005. p. 7.
52
Ben van Berkel and Caroline Bos. *
York: Thames & Hudson, 2006. p. 13.
53
%
)
)*
Branko Kolarevic. “Introduction.” pp.2>10.
50
)
New
possibilities for design well beyond previous limits, leading the mind of the designer into a
three>dimensional or even four>dimensional space for design concepts.” 54 It can be observed
that this dynamism is manifested in major aspects of design as the process, form, and space.
This dynamism can be grouped into two main areas: Firstly, there is the dynamism of the
design process as experienced by the designer, which comes from the capability of computer
models in simulating the several states of a design work.55 This feature makes possible the
exploration of very complex procedures during design manipulation and development.
Secondly, the ability of simulating “actions and reactions” premises new offerings as
responsiveness, interaction, and adaptation in the architectural space.56 Designers have
become able to visualize these highly dynamic interactive sequences of such design
proposals.
Virtual computer models can be said to match these intentions to the highest degree. In the
traditional design process with drawings and hand made models, there were limited means of
processing such complex design data; therefore a certain amount of abstraction was needed
in order to continue the process. It can be said that with the computer modeling techniques,
the needed amount of abstraction has dramatically decreased or fully vanished.57 As Allen
explains, with the ability to work on three>dimensions and directly on the object itself, the
distance between the designer and the representation collapses. 58 Controversially Allen also
argues that since the computer representations are more immaterial than conventional
drawings, the distance is also increased. He builds a two>fold argument in which he proposes
that computer modeling simultaneously collapses and increases the distance between the
representational and real space. When the abstraction phases collapse, models have been
experienced as tools which incessantly work at the background.59 The computer’s
54
Wan>Ping Gao. “Digital Tectonics,” in .
Tung Liu. Basel: Birkhauser, 2004. pp.66>77.
) 966B
William J. Mitchell. “Articulate Design of Free>Form Structures.”
)&
)
Berlin: Springer Verlag, 1998. pp.223>4.
55
56
)
$
Edited by Yu>
%
Ed. Ian Smith.
Wan>Ping Gao. “Digital Tectonics.”
.
57
Stan Allen. “Terminal Velocities: The Computer in the Design Studio.” Ed. John Beckmann. The Virtual
Dimension: Architecture, Representation, and Crash Culture. New York: Princeton Architectural Press, 1998.
p.247.
58
.
59
.
51
transformative power in the architectural design process can be said to be based on its being
a direct means to design, rather than being a mere representation tool where the
representation is produced after the design is finalized. When the modeling medium is
enriched with such novel generative processes that computation offers, the nature of the
design process can be said to be challenged significantly. As Greg Lynn explains;
There are three fundamental properties of organization in a computer that are
very different from the characteristics of inert mediums such as paper and
pencil: ")"-"1/, &* , and ) ! * ! .60
The study will follow these three properties of organization to discuss the novel techniques
introduced by computer modeling medium. Some of the many related concepts such as
NURBS geometries, associative geometry, animation, algorithmic processes, motion
kinematics and dynamics, force fields, and scripting are also studied under these sections.
;4;4:4 ")"-"1/ (, &*
Computer generated form and space propose a new level of complexity with their dynamism.
As Kolarevic explains, such experimentation on form and space is based on “digital
generation and transformation […] that respond to complex contextual or functional
influences, both static and dynamic.”61 Kolarevic observes further that the digitally generated
architecture rejects any “typology.”62 At this point, “topology” is introduced into the
architectural realm as opposed to typology.63 In this context, the notion of the diagram also
inspires designers in the production of dynamic forms and spaces.
Van Berkel and Bos utilize the diagram as an “instrumentalizing technique” which, in their
words, would delay “topological fixation.”64 As they acknowledge, a representational
60
Greg Lynn.
61
Branko Kolarevic. “Introduction.” p.4.
p.20.
62
Building typology has been the dominant model of an architectural working method since the late Eighteenth
century, from church typologies to Nikolaus Pevsner’s #
"
- . There have been either
functional or formal typologies, or the reappropriated typologies generated by interchanging between the two.
Braham recognizes that these typologies were indisputably fixative and representational, but he also advocates
that typology had a promise as a generative tool and as a means to understand new building forms.
Braham, William. “After Typology: The Suffering of Diagrams.”
) v. 70 n.3:9>11. June
2000.
63
Branko Kolarevic. “Introduction.”
64
Ben van Berkel and Caroline Bos. “Diagrams, Interactive Operation in Operation.”
52
technique implies that the designer converges on reality from a conceptual position, therefore
fixing the relationship between the idea and the form. They argue that when form and
content are superimposed in this way, types emerge and architecture cannot escape existing
typologies. Therefore, opposing to the reductionist, representational and fixative character of
typology, they celebrate “tools against typologies.”65 In this argument, they prefer the
“introduction”, rather than the “superimposition” of concepts external to architecture. The
diagram may feed from various sources and liberate the design from conventional
assemblages which refer to typologies.66 Correspondingly, Lars Spuybroek favors
diagrammatic operations as he elucidates the diagram’s emplacement into form as an
“engine” which “doesn’t want to impose itself on matter, but to engage in a process of
continuous formation.”67 Similarly Lynn explains that;
This concept of a discrete, ideal, and fixed prototype [typological fixity] can
be subsumed by the model of the numerically controlled multi>type that is
flexible, mutable, and differential. This mutli>type, or ) !#"!* ($
(. -") + does not privilege a fixed type but instead models a series of
relationships or expressions between a range of potentials. […] this concept
of an envelope of potential from which a single or a series of &( ($ can
be taken, is radically different from the idea of a fixed prototype that can be
varied.68
At this point, it can be suggested that topological geometries could offer a solution to the
realization of diagram>like operations. Topology is the mathematical field in which the
objects are studied in terms of their properties which are preserved through deformations
such as twisting and stretching.69 Cache suggests that “topology enables us to focus on
65
.
Stan Allen also addresses the issue of representation, but he gives it a positive twist pointing at the necessary
degree of abstraction in architectural representation. He indicates that there is a “[…] distance interposed between
the thing and its representation. Design does not operate on the basis of resemblance, but on the basis of abstract
codes and a complex instrumentality.” He argues that this abstraction is the very reason that representation finds
its power, because the architect who attempts to “work directly with that reality will be paralyzed.”
Stan Allen. “Terminal Velocities: The Computer in the Design Studio.” Ed. John Beckmann. The Virtual
Dimension: Architecture, Representation, and Crash Culture. New York: Princeton Architectural Press, 1998.
pp.242>55.
66
.
67
Lars Spuybroek. 'C
68
Greg Lynn.
New York: Thames and Hudson, 2004.
pp.13>4.
69
“Topology.” Reached at: http://mathworld.wolfram.com/Topology.html (Last accessed on 29.05.2008.) It
should be noted that in topological transformations “tearing” or “cutting” are not allowed.
53
fundamental properties from which our Euclidean intuition is distracted by the metric
appearances.”70 Topologically identical structures, which may be in different forms through
transformative operations, are called “homeomorphic” structures.71 As Kolarevic explains,
“the quality of homeomorphism is particularly interesting, as focus is on the relational
structure of an object and not on its geometry – the same topological structure could be
geometrically manifested in an infinite number of forms.”72 Therefore, as Kolarevic explains
further, “a single topological construct is manifestable through multiple forms.”73 In a sense,
topological structures manifest the continuous transformation space where form is generated
and evolving.74
&1'! : 4 The topological transformation of a coffee cup to a torus.
“Archimedes’ Labaratory.” http://www.archimedes>lab.org/workshoptorquato.html (Last accessed 07. 07.2008.)
Lynn acknowledges that architecture have always maintained an “ethics of statics.”75 In this
approach, “[a]rchitectural form is conventionally conceived in a dimensional space of
idealized stasis, defined by Cartesian fixed>point coordinates.”76 Lynn explains that in the
conventional approach, the understanding of “form” and “motion” is discrete because
“[a]ctual movement often involves a mechanical paradigm of multiple discrete positions.”77
70
Bernard Cache. “Plea for Euclid.”
71
Branko Kolarevic. “Digital Morphogenesis.” p.13. Homeomorphism is also called “continuous
transformation,” and it means “an equivalence relation and one>to>one correspondence between points in two
geometric figures or topological spaces that is continuous in both directions.” Reached at:
http://mathworld.wolfram.com/Homeomorphism.html (Last accessed on 29.05.2008.)
72
73
.
Branko Kolarevic. “Introduction.”
74
Guiseppa Di Cristina. “The Topological Tendency in Architecture.” %
Guiseppa Di Cristina. Chicester: Wiley Academy, 2001. pp.6>13.
75
Greg Lynn.
76
. p.11.
77
. p.10.
p.9.
54
Edited by
In this fashion, he continues, the motion is often understood as a sequential process, and is
represented through the “cinematic model,” where the sequenced snap>shots simulate the
movement. The motion is not an indispensable part of the design at this point, but something
reintroduced afterwards in the representation of design. Lynn offers the “ethics of dynamics”
by way of “animate design” as a contrast to the “ethics of statics.”78 It is clear that the ethics
of dynamics powerfully challenge the deep>rooted design conventions. While the static
motion bears discreteness, “virtual movement allows form to occupy a multiplicity of
possible positions continuously with the same form.”79 Lynn explains that;
In this way, topology allows for not just the incorporation of a single moment
but rather a multiplicity of vectors, and therefore, a multiplicity of times, in a
single continuous surface.80
The recognition of this multiplicity and the emphasis on the relations and continuity of space
is important in architectural conception.81 It should be repeated that the totality of the entity,
in other words the internal and external interconnections, gains importance over formal
expression. As Imperiale interprets;
The Deleuzian focus on smooth spaces, seriality, and dynamic processes
seems to have found its perfect foil in the way one can design architectural
form in a NURBS modeling system. There seems to be a smooth link
between one and the other. However, one should be cautious against
reducing one entirely to the other.82
With their capability of processing complex forms and topological transformations, architects
have embraced three>dimensional and four>dimensional (animation) modeling techniques.
The three>dimensional computer modeling software is based on NURBS (Non>Uniform
78
.
79
.
80
.
81
Topological structures as the “Möbius strip” and the “Klein bottle” have drawn attentions of many architects.
Many experimental studies have been carried in experimenting with these structures. Architects tried to challenge
the traditional relationships and spatial organizations, especially of the interior and the exterior. However, it
should be noted that such experimentations should be carried on a conceptual level to understand “relations,”
beyond merely imitating the geometrical forms of these topologies.
Ben van Berkel and Caroline Bos. * %
)
)*
)
R&Sie... architects. Corrupted Biotopes. Design Document Series_05. Korea: DAMDI, 2005.
82
Alicia Imperiale.
$
Basel: Birkhauser, 2000. p. 42.
%
55
Rational B>Splines.)83 Within NURBS geometries, parametric curves and surfaces can be
generated and manipulated with ease. Interestingly, as Strickland states, in mathematical
studies, the questions on topology are usually formulated “in terms of logic and algebra rather
than geometry.”84 At this point, in addition to the availability of the NURBS geometries and
topological operations, some of the major generative processes employed in the generation of
complex forms such as parametric design gain importance due to the fact that parametrics
introduce a new mode of operation beyond geometrical visualization.85 It is seen that in
computational design, there has occurred a shift of emphasis from the form and space to their
generation and manipulation processes. The digital architectural model is regarded to provide
this shift a favorable means with its capability of incorporating and processing the required
inclusive design data of complex structures. In addition to topological structures, non>
Euclidean geometries should be explained at this point in order to clarify the non>Euclidean
geometries’ and topological structures’ different relationship with time.
;4;4:4:4 "(E '$-&, (
"* !&
In the non>digital static architectural space, the formal repertoire was propagated through the
Euclidean geometry. The basic geometries were extensions of Euclidean geometry which are
lines, circles, quadrilaterals, planes, etc., and basic Platonic solids, which were derived out of
these primitives.86 By the early twentieth century, Euclid’s theorems and axioms had begun
to be challenged in mathematics due to incomprehensibility of Euclid’s 2
3) or the
“parallel postulate.”87 Subsequently, this challenge led to the studies of non>Euclidean
geometry and geometry of n>dimensions, together with a strong background with the works
of Karl Freidrich Gauss, Janos Bolyai, Nikolai Ivanovich Lobachevsky, and Bernard
Riemann.88 With these studies, space was now conceptualized as curved and multi>
dimensional, and “time” was recognized as a dimension in this multi>dimensionality.89
83
Branko Kolarevic. “Introduction.” p.6.
84
http://neil>strickland.staff.shef.ac.uk/Wurble.html (Last accessed on 29.05.2008.)
85
Mark Burry. “Anti>accident Methodologies.”
86
Branko Kolarevic. “Digital Morphogenesis.”
87
Harold Scott Macdonald Coxeter.
America, 1998. p.1.
Washington, D.C.: Mathematical Association of
88
Linda Dalrymple Henderson.
It can be noted that there are three classes of constant curvature geometries, which are differentiated by the usage
of the “parallel postulate:” “The "flat" geometry of everyday intuition is called Euclidean geometry (or parabolic
56
Architecture, always keeping a close relationship with mathematics, is observed to
experiment in this new space and time conception with non>Euclidean geometries. However,
non>Euclidean geometries should not be used synonymously with “curved surfaces.” The
importance of non>Euclidean geometry in architecture is the suggestion of defining forms as
instances in a continuity, and the availability of mapping a form in a “sliding scale of formal
complexity” within this continuity.90 This means that Euclidean geometry is conceived as a
neutral state of equilibrium where the forces of bending and folding have equal influence on
the form, therefore it reaches a state of “flatness.”91 This allows architects to conceive form
in different levels of complexity, and the form may possess multiple realizations in this
scale. By the digital computer models, architects have gained the chance to study on
topological and non>Euclidean geometries. Computer modeling, as it is based on NURBS
geometries, promises to be a very effective tool to experiment on such complex surfaces.
;4;4:4 4
"* !&
In the representation of Euclidean geometry, the curvilinear lines and surfaces were
represented by linking “tangent circular arcs and straight line segments.”92 The computer
modeling software has introduced a medium in which complex curves and surfaces could be
easily modified, and the workable geometries territory has been extended into the non>
Euclidean geometries.93 As Imperiale interprets this shift, she states that “[t]his has had a
liberating effect on the design process, allowing architects to work on topological surfaces
with increasing levels of complexity.94 Such a shift has been provided by the NURBS>based
geometry), and the non>Euclidean geometries are called hyperbolic geometry (or Lobachevsky>Bolyai>Gauss
geometry) and elliptic geometry (or Riemannian geometry).”
“Non>Euclidean Geometries.” Reached at: http://mathworld.wolfram.com/Non>EuclideanGeometry.html
(Last accessed on 29.05.2008.)
89
90
.
Branko Kolarevic. “Digital Morphogenesis.”
91
. This comprehension has been constructed due to the concept of “curvature of space” in the Riemannian
geometry. He defined that spaces can have positive and negative curvatures. Therefore the Euclidean geometry
becomes a special geometry in the infinite scale of transformation.
92
.
93
Greg Lynn.
94
Alicia Imperiale.
$
p. 42.
%
57
software, known to architects through software such as Autodesk’s Maya and
3DStudioMax.95 The acronym “NURBS” refers to the “Non>Uniform Rational B>Splines.”96
Piegl and Tiller explain that the success of NURBS depends on their supplementation of “a
unified mathematical basis representing both analytic shapes” and “free>form entities.”97
They add that “NURBS algorithms are fast and numerically stable.”98 Kolarevic explains
that today’s computer modeling software is based on NURBS, because;
From a computational point of view, NURBS provide for an efficient data
representation of geometric forms, using a minimum amount of data and
relatively few steps for shape computation.99
From an architectural perspective, the significance of the NURBS geometries is in their
easily alterable nature by the manipulation of their “control points,” “weights,” and
“knots.”100 As Piegl and Tiller explain, the NURBS are shaped fundamentally by the location
of their control points. Each control point is associated with a “weight,” which regulates the
extent of the control point’s influence over the curve. In addition to the weight, the control
point is also associated with a “polynomial equation,” or in other words a “basis function”
(which refers to the “B” in the acronym of the NURBS.) The “R” in the NURBS refers to the
“rational B>Spline,” which Kolarevic explains as;
A rational B>Spline is defined mathematically as the ratio of two polynomial
equations…Each basis function affects only the curve section in the vicinity
of the associated control point, and these sections are delimited by knots. A
non>uniform rational B>spline is one in which the influence of a control point
on a curvature can be varied by changing the location of the knots along the
control segment that links two control points.101
95
“Autodesk.” Reached at: http://usa.autodesk.com/ (Last accessed on 04.07.2008.)
96
Gerald E. Farin . *+"%
97
Piegl and Tiller.
98
99
*+"% "
2 D
.
2
,
.
Branko Kolarevic. “Digital Morphogenesis.” p.15.
100
Piegl and Tiller.
101
Branko Kolarevic. “Digital Morphogenesis.”
*+"% "
,
58
*
Wellesley, MA: A K Peters, 1995.
&1'! ::4 A spline surface generated with spline curves.
“A Spline.” http://pages.cs.wisc.edu/~psilord/blog/ (Last accessed on 26.05.2008.)
The knots in the curve can be configured in unequal spacing therefore NURBS have a
continually differing curvature, which separates them from the curves that used to be
processed with “tangent circular arcs.”102 This continually changing curvature defines the
significance of NURBS curves because this is the very property that provides the topological
“multiplicity.” As Piegl and Tiller explain further, as an extension of the NURBS curves, the
NURBS surfaces operate very similarly.103 There is a control lattice which connects the
control points along the surface. The logic in the surfaces with the associated control points,
weights, and knots operates in the same manner as in the curves. It should be clarified that
NURBS geometries are situated in the three>dimensional Cartesian space, but they are also
parametric space.104 However this parametric space is one>dimensional.
specified in a
For the NURBS curves, on a topological level, this one>dimensionality is referred to as “U,”
and the two>dimensionality as “V.”105 This parametric extension aids in the visualization of
the NURBS geometries and offers a switching between the modes of designing.106 In other
words, one can both use the Cartesian space (X, Y, Z) and the parametric space (U, V) to
modify the form. With the NURBS>based systems, architects have gained the opportunity not
102
103
104
.
Piegl and Tiller.
*+"% "
,
.
Alicia Imperiale.
105
Greg Lynn.
106
Piegl and Tiller.
$
%
p.20.
*+"% "
,
59
only to work with very complex models but also change over modes of representation in the
design process.
;4;4 4
! * !&$
Pertaining to manual physical modeling, it is observed that modeling conventionally occurs
during the design process which indicates and concretizes the discrete moments of design. In
a linear design process, certain forms of models can be encountered as the diagram, the
conceptual model, the working model and the final presentational model as discussed
previously in Chapter 2. Most forms of these models are produced by stopping the design
process, reading the data acquired to that extent, and materializing it. In this fashion, each
design stage possesses only a certain amount of viable data, in other words the design input
and output is limited.
Kolarevic notes that the models are revolutionized with the availabilities of processing
complex information with novel computer hardware and software.107 By the introduction of
animation, the modeling tools have become a part of design process rather than only being
used for “rendering, visualization and imaging.”108 With the recognition of the parametric
modeling, it can be observed that there have been alterations in the architectural form and
space in two ways: Firstly within its relational associations, secondly with its dynamism in
terms of interactivity with the inhabitants. Referring to the prior, Eisenman favors the
computer generated geometries as he states that the computer liberated him from
“orthogonal, Platonic, Cartesian space.”109 As observed previously, parametrics provide
designers with a different mode of design space other than the Cartesian coordinate
system.110 The abilities of animation in computer modeling exceed producing mere fly>
throughs with sequential imaging, and makes possible to simulate the complex responsive
behavior of the building.111 Pertaining to the latter, a much more dynamic, sensitive, and
107
Branko Kolarevic. “Digital Morphogenesis.”
108
Greg Lynn.
109
Michael Koch. “Interview with Peter Eisenman: Post>structural architect,”
p.11.
9, pp.34>43.
110
Controversially, many computer software, such as 3DSMax, Rhinoceros, Photoshop and Coreldraw, are
explicitly or virtually based on Cartesian coordinate system. From an architectural point of view, Bernard Cache
also criticizes the same tendency in architectural thinking in saying that “as far as technical applications are
concerned, such as architecture, the digital age is still deeply Euclidean and will probably remain so.” In: Bernard
Cache. “Plea for Euclid.”
111
Kevin Rotherou. “A Vision for Parametric Design.”
http://www.architectureweek.com/2002/0710/tools_1>2.html (Last accessed on 29.05.2008.)
60
adaptive concept of space has emerged. Described by Anderl and Mendgen, parametric
design is an approach which “associates engineering knowledge with geometry and topology
by means of constraints.”112 Concerning parametric modeling in architecture, the parametric
descriptions provide a novel medium to represent and manipulate form in a completely
different fashion than designing in a static Cartesian space. On parametric modeling,
Rotheroe explains that;
[P]arametric architectural software would ideally capture conceptual, three>
dimensional design intent, enable the automatic parametric generation of
iterative solutions throughout design development and documentation, and
accommodate the accumulation of data as the computer model ultimately
becomes a complete "kit of parts" representation of a building.113
When the reflections of the parametric modeling in architectural production are discussed, it
is seen that the architectural project is also altered into a very dynamic and interactive state,
where it is connected to its context through data and bits.114 To clarify this, the interpretation
of Mitchell can be useful at this point. In the realization of such projects, Mitchell offers
“electronics” as the supplier of such dynamic realizations, as opposed to “tectonics.”115 He
formulates this situation as architecture transforming into an “interface” as opposed to the
traditional “façade.”116 He suggests that “we can recognize that inhabitation involves
continuous interaction of information between a building and its inhabitants, and that the
introduction of electronics requires us to rethink this interchange.”117 He adds that architects
should embrace this technological shift with electronics by way of aggregating it with the
architecture’s material formation. Moreover, it is observable that building materials and
technologies are also transforming to be able to meet the needs of such dynamism. Kolarevic
even carries this argument further and notes that “[i]n the future, as buildings become more
“intelligent,” it will be the information the surface transmits to and from the surrounding
112
R. Anderl and R. Mendgen. “Parametric Design and Its Impact in Solid Modeling Applications.” ACM
Symposium on Solid and Physical Modeling: Proceedings of the Third ACM Symposium on Solid Modeling and
Applications, Salt Lake City, Utah, United States, 1995. pp.1>12.
113
Kevin Rotherou. “A Vision for Parametric Design.”
114
William J. Mitchell. “Antitectonics: The Poetics of Virtuality.”
115
116
.
117
. p.215.
61
environment – and not its form – that will matter more.118 Likewise, Spuybroek explains the
surface is evolving from the visual towards the operational;
In a sense, the image no longer shows the exterior of a system but must show
the interior and exterior simultaneously, like an X – ray, but an abstracted X
– ray in which all potential actions are contained in functions and parameters.
As many others have observed, the larger cultural shift is one of surfaces
towards interfaces: open, porous surfaces that are no longer images but
nonetheless make use of visualization. These images aren’t “seen,” as in a
passive recording technique, but precisely in an active way, where the seeing
is permeated with acting.119
As observed, the architectural space has transformed into an interface between the material
and electronic worlds beyond its visual and tectonic mode. The interactive architectural
object would collect data from its environment, transform it into data, and process it in
parametric relations to respond. It proceeds into a highly communicative state with its
inhabitants in this performativity. Nevertheless, such a conceptual change is innovated firstly
in the design space, through the dialogue of the model with the designers. These shifts can be
viewed as an extension of the parametric modeling on the design process. The
responsiveness of architecture, both in its model form and in reality, is provided by
parametric processes.
In the basic logic of parametrics, it is seen that “sets of equations are used to express certain
quantities as explicit functions of a number of variables, i.e. parameters, which can be
independent or dependent.”120 When the variables in parametric representations are assigned
different values, a limitless repertoire of objects can be generated by a pre>articulated
schema. An important characteristic of parametrics is that a design is represented and
declared in its parameters, and not its shape.121 Therefore, Mark Burry notes that, a
parameterized form is unstable but it has stable characteristics – which are the parameters.122
Mark Burry adds that the equations are also determined by the designers who, in a certain
118
Kolarevic, Branko. “Introduction.” p.7.
119
Spuybroek, Lars. 'C
120
Branko Kolarevic. “Digital Morphogenesis.” p.17. It should be noted that, as a form or an object can be
represented by other “parametrization strategies,” parametric representations are “non>unique.”
121
122
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.6.
. p.5.
62
design process, may proceed with modifying and redefining the parametric strategy they
develop, so that on a larger scale, the whole system can be said to be more flexible.
&1'! : 4 A caption from the research project of “the Parametric Bridge.”
“Parametric Bridge: Selfridges Footbridge, Birmingham, UK.”
http://www.sial.rmit.edu.au/Projects/Parametric_Bridge.php
(Last accessed on 29.05.2008.)
When a modification is made on the parametric model, the whole entity is updated according
to the changed values, as Imperiale observes this feature, she explains that “[i]f you change
scale in a part of the surface, the entire surface is rescaled, recalculated.”123 Therefore when a
change in the model is tested, designers do not have to modify other objects in relation to the
modified one, which is a highly reiterative and labor costly process.124 As Burry explains,
instead of a “reiterative erasure and remodeling” procedure, the alterations on the form can
be processed and visualized simultaneously.125 He adds that;
Values of and relationships between parameters are stored in the graphics
software database and are referred to the user through a visual representation
on the screen. The size of an element is represented as a dimension that can
be changed. By clicking the mouse on a particular value, for instance, it is
changed interactively and the model can be regenerated in its new
configuration.126
123
124
125
126
Alicia Imperiale.
$
%
.
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.8.
. p.6.
63
This feature of parametric modeling seems to be of great value in terms of increasing the
efficiency in both aesthetic and structural decisions; furthermore, it may help in predicting
the economic aspects in realizing the project.127 As Kolarevic observes parametric design
often entails a procedural, algorithmic description of geometry.128 In this sense, parametric
models accommodate designers with a highly continuous process, which cannot be achieved
by traditional working methods and tools. On this differentiation, Burry asserts that;
The parametric designer can move backwards and forwards at will – a
peculiar attribute to this way of working with the computer. There is no
haptic equivalent, and parametric design is a rare example of a design
process that is uncharacteristically linked to the computer.129
Even so, such a condition requires designers to be able to govern these methods as they are
projected to be highly complex, emergent, and non>linear. The initial conditions and intents
may lead to unexpected results intentionally or unintentionally. This might seem as a
disadvantage in parametric modeling when the whole design process is considered. Burry
explains that “[i]n many cases architectural design favors a linear process where design can
build upon itself.”130 This might seem to be in favor of a more linear process of design, but
the success of a parametric design depends on the designers’ abilities in governing and
comprehending the modeling technique. In such a need of turning back to a point in design,
to “proceed forward in a different direction,” the designers should be able to remember the
transformations they employ.131 In order to succeed in this reiterative process, the designers
need to build a very successful strategy in attaining the equations and relations, in other
127
Kevin Rotherou. “A Vision for Parametric Design.”
128
Branko Kolarevic. “Digital Morphogenesis.” p.18.
129
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.7.
130
. p.4. Peter G. Rowe explains that, some researchers who are interested in the design process have become
involved with the “information processing theory,” as discussed in Chapter 2. He continues that the information
processing theory provides a basis for the designers who employ CAD, especially to guide them in the succession
of “complete and hospitable design.” He exemplifies the works of Nicholas Negroponte, William J. Mitchell, and
Charles Eastman in this line of speculation.
Peter G. Rowe.
William J. Mitchell. &
131
,
p.50.
New York : Petrocelli/Charter, 1977.
-
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.4.
William J. Mitchell. &
-
64
words the parametric relations.132 Therefore, to construct a more rigid ground in parametric
modeling, and to attain a “syntax” to the unstable representations of form, parametric design
through associative geometry is developed.133
;4;4 4:4
"$& &.
"* !/
In parametric modeling, the variables in the equations provide the generation and
manipulation of form. In addition to this parametric system, mathematical equations may
represent and determine the relationships between objects; then this system is referred to as
the “parametric associative geometry,” or as Burry defines it, “the constituent geometry that
is mutually linked.”134 Burry indicates that “the ability to define, determine and reconfigure
geometrical relationships is of particular value.”135 As Aish explains, “once the underlying
logic and design relationships have been defined, the designer can create new options
without manually building (or rebuilding) the detail design model for each scenario.” 136 In
other words, a parametric set is tuned to define the dependence relations, therefore objects
become dependant on each other and their behavior during a transformative operation is
defined. This associativity forms the core of providing the continuity in design, where a
modification in an object is followed by others respectively.
In addition to the various capabilities of parametric associative models, the complete design
information and history can be stored in them. As Burry explains, “the derivation of its [the
parametric model’s] constituent parameters can be recorded historically along with
relationships between geometric entities.”137 In this sense, the architectural model can be
noticed to have become exceptionally transparent. As Allen explains, the architectural object
becomes “a series of projections as well as a collection of commands. Instead of a finite
number of representations constructing an object (either in the mind or in the world) there is
132
Burry warns about the deficiency of parametric modeling at certain levels of design prediction, and argues that
designers should be careful in building design strategies.
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.6>7.
133
. p.5.
134
.
135
.
136
137
Robert Aish. “Compter>Aided Design Software to Augment the Creation of Form.” &
Ed. Francois Penz. Harlow, UK: Longman, 1992. pp.97>104.
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.6.
65
-
already an object (itself made up of a nearly infinite number of discrete elements) capable of
generating an infinite number of representations of itself […] all in perfect transparency.”138
By the capacity of storing the complete design data, the form of information is also
revolutionized. The information is digitalized and its structure is altered. As Allen adds, “the
effect of working on the computer is cumulative. Nothing is lost.”139
&1'! :;4 A Model from the “Digital Mockups.”
Digital Mockups is an elective course within Architectural Technology Projects offered by Mark Burry, Andrew
Maher, Jane Burry, Grant Dunlop, Gregory More (SIAL) with MIT Department of Architecture & Gehry Partners
Architects, LLP (USA). It involves parametric design and associative geometry as advanced computer modelling
techniques. Reached at: http://www.architecture.rmit.edu.au/Projects/Technology_Projects.php (Last accessed on
15.06.2008.)
Burry characterizes the parametric method as an “explicit” one, where the parameters have
“declared values,” and he explains that “in almost all CAD packages the design is
explicit.”140 Some computer software, such as the
. &
-
developed by
Bentley Systems, have the capability to “capture and graphically present both design
components and abstract relationships between them.”141 Additionally, as Aish explains, they
provide the ability to represent design not only in graphical terms, but also enable designers
138
Stan Allen. “Terminal Velocities: The Computer in the Design Studio.” p.248.
139
140
Mark Burry. “Paramorph: Anti>accident Methodologies.” p.5.
141
Robert Aish. “Introduction to GenerativeComponents: A Parametric and Associative Design System for
Architecture, Building Engineering and Digital Fabrication.”
White paper on http://www.bentley.com.
(Last accessed on 29.05.2008.)
66
to work with scripting and programming.142 This ability provides designers with an
increasing level of flexibility in determining the behavior of components during possible
transformations within the process.
Such transparency also functions in bridging between designers and collaborators from other
disciplines. Burry and Maher have exemplified this through their “Selfridges Footbridge”
located in Birmingham, UK.143 This pedestrian bridge was designed by employing
parametric associative modeling through the computer software CATIA, to analyze loads
and methods for fabrication.144 Burry and Maher explain that the team not only employed
architects and engineers, but by the ability of working on a single model, mathematicians
and fabricators became authoritative in the project. They conceptualize this situation through
the exchange of “parameters,” as a “digital dialogue between the disciplines.”145 This means
that the representation phases are dissolving between disciplines and the architectural model
is reaching an ultimate stage to embody the whole information of a building.146
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(, $!&) &(1
The parametric associative modeling processes, topological transformations, and the
continuity in design space have led to an increasing emphasis on the process and the logic
and generative process of design, rather than its visualization. As mentioned previously,
computer modeling allows designers to work in various methods along a certain design
process. The transformations involved in the animation, in other words the “morphogenesis,”
can be expressed in its generative rules, and these rules are referred to as “genetic
algorithms.” As Frazer describes, they are “string>like” procedures and they involve mutative
142
.
143
“Parametric Bridge: Selfridges Footbridge, Birmingham, UK.”
http://www.sial.rmit.edu.au/Projects/Parametric_Bridge.php
(Last accessed on 29.05.2008.)
The Research team in Selfridges Bridge involves Professor Mark Burry, Andrew Maher, Jan>Peter Koppitz, Ed
Clark, Alvise Simondetti, and Dr. Kristina Shea. The architects of the Selfridges store are “Future Systems.”
144
http://www.architectureweek.com/2003/1119/tools_1>1.html (Last accessed on 29.05.2008.)
145
“Parametric Bridge: Selfridges Footbridge, Birmingham, UK.”
146
Such studies have lead to the formation of a hypothetical model which is referred to as the “Building
Information Model,” shortly the “BIM.” In architectural terms, Building Information Modeling refers to the
ultimate model which contains all the information needed to construct a building. This term has been extensively
used by Charles M. Eastman in his books and papers, but has been popularized by Jerry Laiserin.
Charles Eastman. Building Product Models: Computer Environments Supporting Design and Construction. Boca
Raton, FL: CRC Pres, 1999.
67
processes as reproduction or gene>crossover in analogy with the natural organism’s
adaptation and variation.147 In this sense, the architectural form gains an emergent character,
and the generation process becomes more dynamic by the direct expression of the internal
logic to the external form. In this scope, designers may use the software completely
graphically, or switch to scripting, or even use programming.148 These extensions in
modeling provide an alternative to the representation of form in geometrical terms, and equip
designers with non>visual numeric representation methods. As Zeynep Mennan argues, the
non>visual numeric methods have been utilized by designers to prolong the experimental
process with form. In this fashion, form is neither stabilized nor finalized.149
As Allen explains, in computer models “elements and details are continuously added, stored
and filed.”150 Due to the fact that new data can be operated into the model and assimilated
into design simultaneously along the design process, the final product is consciously being
delayed.151 Ali Rahim conceptualizes this as a “systematic delay,” which he defines as “the
temporal interstice of conceptual development between initial idea and its material form.”152
In other words, it can be said that the form tries to build up its own potential through its own
internal dynamics towards a stabilized state, however this equilibrium is built by the process
itself in a non>deterministic manner. Just at this point, the non>visual representation methods
provide for non>determinacy by disactivating any visual stimuli to trigger deterministic
147
John Frazer. .
148
Robert Aish. “Introduction to GenerativeComponents: A Parametric and Associative Design System for
Architecture, Building Engineering and Digital Fabrication.”
149
Zeynep Mennan discusses the premises of non>visual representation and the estrangement from the visual
modes of representation through the shift in the nature of inscriptions from visual to calculated ones. She
questions the disclocation of the graphic rationality and the visual training in which architectural education is
grounded in:
Zeynep Mennan. “Non Standardization Through Non>Visualization: Scripting the Dom>Ino House”. In
Oosterhuis, Kas and Feireiss, Lukas (eds.), 2006.
& 0
%
) '
& ) .
(Rotterdam: Episode Publishers) pp. 234>241.
Zeynep Mennan. “From Number to Meaning: Prospects for a Quantitative Hermeneutics at Istiklal”, in Korkmaz,
Tansel (ed.), 2005.
,
9666
2
(Ankara: Chamber of
Architects of Turkey) pp. 121>132.
150
Stan Allen. “Terminal Velocities: The Computer in the Design Studio.”
151
Zeynep Mennan. “Non Standard Mimarlıklar: Bir Serginin Ardından.” p.37.
152
Ali Rahim. “Systematic Delay: Breaking the Mold.”
Editions: London, 70 3 (2000): 6>8.
68
&
-
2
Academy
intuitions.153 When design governance and control is intentionally omitted in such a fashion,
the process gains a non>predictable and emergent character.154
In this ability of designing both in visual and parametric mediums, as Allen explains, “[a]ny
element can be accessed at any time, independent on what has happened around it. Instead of
proceeding always from general to specific, the designer moves from detail to whole and
back again, potentially inverting traditional design hierarchies.”155 In parallel, he adds that
the “parts are not necessarily integral to the whole” in the parametric model.156 When the
relation of the part and the whole is modified in such a fashion, the erosion of conventional
design hierarchies would become unavoidable and a “non>linearity” is offered. On the non>
linear nature of computer modeling, William Braham clarifies that;
The real breakthrough in computer modeling comes not with the
mechanization of well>defined procedures, but with the power adequately to
show the results of dynamic non>linear influences. In this context, non>linear
means that the influences of a particular design situation cannot be simply
predicted or characterized, but only experienced or shown as a total result,
either because the situation is sufficiently dynamic or the influences are too
numerous and complex in their interaction.157
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The tectonic understanding of architectural materiality is detected to highly differentiate
from designing in the physical space with conventional modeling procedures and digital
153
Zeynep Mennan. “Non Standardization Through Non>Visualization: Scripting the Dom>Ino House”. In
Oosterhuis, Kas and Feireiss, Lukas (eds.), 2006.
& 0
%
) '
& ) .
(Rotterdam: Episode Publishers) pp. 234>241.
Zeynep Mennan. “From Number to Meaning: Prospects for a Quantitative Hermeneutics at Istiklal.”
154
It should be noted that Burry is critical about the “pluralism” offered by the CAD, and proposes to rethink
about a “measure” in what means success in such design productions. He questions the designers control over the
process, and does not favor “accidental” happenings.
Mark Burry. “The Generation and Degeneration of Form Using CAAD: Unceratin Certainty.” -& & , Technical University of Bialystok, Bialystok, Poland, 1996. pp. 71>
91.
155
Stan Allen. “Terminal Velocities: The Computer in the Design Studio.”
156
157
William Braham. “After Typology: The Suffering of Diagrams.”
69
space with virtual procedures. The physics of the digital space is studied to differ from the
physics of real spatial materiality. Although there is the ability to simulate and imitate the
real world qualities, i.e. the gravity, within the digital model, the new generation processes
are seen to operate on a much different level. As observed, the “surface geometry” of the
digital form is very different than the real world of construction.158 The understanding of
tectonics is noticed to be challenged by the emphasis on the continuity of form, which is seen
to attend a change in the notions of detail, joint, production and construction. A structural
dynamism is perceived to govern the structural logic, therefore the detail is no longer static,
but it also becomes more flexible and intricate.159 The altered part and whole relationship is
also observed to affect the constructional aspects of design; where additionally, the
architectural “scale” is challenged. Designers are observed to be conceiving buildings almost
on a 1:1 scale, and more significantly in real>time as their alterations are reflected
simultaneously. Greg Lynn notes that, many theoreticians and critics would not favor such a
“dematerialization” in computer modeling and find exert modes of organization threatening
to the essence of the discipline. However, he answers to such disapproving criticisms and
suggests that “an animate approach to architecture subsumes traditional models of statics
into a more advanced system of dynamic organizations.”160 Such an aggregate approach
would be a strengthening aspect of architectural conception and production.
In this sense, it can be said that the last decades of the twentieth century have succeeded in
reaching what Liu calls an ‘intricate mode of designing’: As Liu explains, this means that the
architect now employs a coordinated combination of drawings, physical models, and digital
models in realizing design ideas.161 In this new context, architectural modeling has become a
dynamic field upon which many inquiries are carried. It can be observed that there have been
at least two types of reactions in this change: Firstly, the subject area of manual physical
modeling has drawn attention to itself once again, with the new perspective obtained from
experiencing with the digital modeling techniques. The physical and conventional modes of
designing and modeling have begun to be reconsidered. Secondly, the research on the
158
Wan> Ping Gao. “Digital Tectonics.”
159
160
Greg Lynn.
New York: Princeton Architectural Press, 1999. p.9>10.
161
Yu>Tung Liu. *
& Taipei: Hu’s, 1996. Paraphrased in Cheng>
Yuan Lin. “The Representing Capacity of Physical Models and Digital Models.” In &
+ 7@@@) 2
A
&
& +
) Shanghai: Tongji
University, College of Architecture and Urban Planning. pp.53>62.
70
changing nature of physical models through CAM, as it has articulated with CAD, has
become a center theme of exploration. Modeling has thus obtained a new dimension. Among
many studies, recently in 2006, exactly after thirty years from the first exhibition on
modeling, “An Exhibition Looking at the Role of Models in the Architectural Design
Process” held at RMIT School of Architecture, Melbourne has addressed both issues both in
physical and digital modeling processes.162 One of the exhibition’s chief investigators, Peter
Downton states that “[m]odels are a medium for communicating the design knowledge
revealed through making and investigating models.”163 At this point, it can be observed that
model making is recognized as a medium which reveals a considerable amount of knowledge
about designing.
When the ontological need of architecture in realizing itself is considered, it can be predicted
that the digital and physical models would be increasingly unified. In this sense, it can be
said that today, a compromise has been developing between the real and the virtual realms.
After the immensely dense experimentation period within the digital environment,
architecture postulates to be connected with its materiality. Yet it seems as a certainty that
the concepts of physical and virtual models have slowly been gathering under the notion of
“the model.” Instead of understanding these two types as polarized entities, a wholeness in
the concept is improving. Within this context, the role of CAM tools in providing this link
between the immateriality of the virtual and tactility of the real is investigated in the next
chapter. It can be seen that the position of the architectural model between the real and the
virtual has promised to be highly copious indeed. The discussions produced out of this
tension have been carried through architectural modeling.
162
Homo Faber: Modeling Architecture Exhibition, Melbourne: RMIT School of Architecture and Design, May
2006.
163
Peter Downton. “Making Dust, Acquiring Knowledge.” Homo Faber: Modeling Architecture Exhibition,
Melbourne: RMIT School of Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
pp.8>12.
71
=
The virtual space and processes of computer>aided design are seen to have revolutionarily
transformed the architectural design thinking. They have brought about various new
techniques and concepts that would not be possible to implement with physical modeling
techniques. However, as Mitchell observes, some theoreticians, critics, and designers would
find the space of digital models negatively immaterial, threatening the tectonic thinking of
architecture.1 It has been discussed that with the use of CAD, designers have reached a broad
repertoire of novel design generation and manipulation techniques, but they were also feeling
the urge to be able to bring their experiments into reality, in other words into the material
state of architecture.
With the introduction of computer>aided manufacturing (CAM) tools into the realm of
architectural design, this unison of CAD and CAM technologies propose a remarkable shift
in constructing the link between the digital and real media. The need for materialization that
has been felt by the designers who use CAD can be said to be answered by the CAM
technologies. As discussed previously, the propulsive power of diagrams, the studies of
topology, and the notion of morphogenesis have inaugurated animated and dynamic
possibilities into design through parametric associative modeling processes. In this context, it
can be said that finally the “virtuality” in Deleuzian terms is noticed to have found a relevant
tool with CAM technologies to realize its actualization processes to the full extent. It can be
suggested that CAD has been completing itself with CAM tools, both in terms of the design
process, and the changing mode of architectural fabrication, production and construction.2
Despite seemingly superseded by the computer models, the physical models have always
kept their significance by being in the real medium of design, which later gave rise to
1
William J. Mitchell. “Antitectonics: The Poetics of Virtuality.”
2
Larry Sass and Marcel Botha. “The Instant House: A Production System for Construction with Digital
Fabrication.”
-)
)
http://ddf.mit.edu/papers/index.html (Last accessed on 01.06.2008.)
72
methods such as “rapid prototyping,” where the two design environments have been brought
together. Concerning the building industry, there can be argued to be major alterations by the
erosion between the representation phases of design, the blurring boundaries between
different disciplines involved in the design and construction, and the change in construction
methods and procedures.
Beginning with the various new physical modeling opportunities, the shifts in the design
process are discussed in this chapter through this field. Thereafter, the reflections in the
architectural construction phases are touched upon, where the digital model is directly
converted into the real architectural object. It should be remembered that, such changes have
been proposed by the new available CAM technologies. It is seen that designers have been
involved with computerization and digitalization since the 1960s, and it can be suggested
that an initial intent has been present since, whose tools have only arrived recently with
advanced CAD methods and CAM technologies.
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In the pre>digital era, the traditional designing and building techniques were entirely based
on Euclidean geometry.3 Architects developed and utilized the necessary tools to draw,
model, produce, and construct their designs primarily in this conception of space and
tectonics.4 As Kolarevic explains, “[t]he long tradition of Euclidean geometry in building
brought about drafting instruments, such as the straightedge and the compass, needed to
draw straight lines and circles on paper, and the corresponding extrusion and rolling
machinery to produce straight lines and circles in material.”5 In consequence, as Sass
observes,
Architects have mastered their construct as models built of wood or plastic
and buildings of steel and concrete. Modern architects have demonstrated
that it is possible to design and build variations of Euclidian shapes as free
3
Greg Lynn.
New York: Princeton Architectural Press, 1999.
4
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.”
-) )
p.1.
http://ddf.mit.edu/papers/index.html
(Last accessed on 01.06.2008.)
5
Branko Kolarevic. “Digital Production.” Ed. Branko Kolarevic.
New York: Taylor and Francis, 2003. p.32.
73
standing or interrelated designs. However few express the ability or desire to
build outside of the known Euclidean shape set.6
It can be observed that, there is a reciprocity between the design world and repertoire with
the available means to design. This observation can be said to preserve its relevancy still
today in the digital era, although the manufacturing techniques have significantly increased
in variety. Computer>aided manufacturing (CAM) has been introduced to the architectural
realm as an extension of computer>aided design (CAD), especially consequent to the
parametric associative modeling capabilities, which resulted in highly complex and dynamic
forms of architecture. As Sass characterizes these “free forms”, he states that they “do
embody a language beyond the traditional list of shapes constrained by the tradition of
drafting and machine tooling.”7 Objects in this level of complexity in the digital
representation could not be processed with manual modeling and fabrication techniques to
their materiality.8 Therefore architects have searched for relevant materializing methods and
embraced CAM technologies. CAM has extended the field of new geometries by allowing
the “tectonic exploration of new geometries.”9 The consequence is that again, architects need
to comprehend the digital technology thoroughly and adapt its relevant fabrication
equipments. As Kolarevic states;
But as constructability becomes a direct function of computability, the
question is no longer whether a particular form is buildable, but what new
instruments of practice are needed to take advantage of the opportunities
opened up by the digital modes of production.10
In this sense, the role of the architect is extended to the building construction phases as
well.11 This is because of the extended function of modeling from conception to the
production phases, and as Kolarevic explains, due to the fact that architects are now creating
6
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.1.
7
8
.
Branko Kolarevic. “Digital Production.” p.31.
9
10
. p.33.
. p.31.
11
. p.33. As discussed previously in Chapter 3, the role of the architects have already been broadened with
the CAD technologies, as they begin to consider more material and construction related issues in their design by
the capabilities of associative parametric modeling. With the introduction of CAM, this extension has gained a
stronger character as architects become directly involved in the fabrication and construction.
74
“the information that is translated by the fabricators directly into the control data that drives
the digital fabrication equipment.”12 He adds that;
The digital age has radically reconfigured the relationship between
conception and production, creating a direct link between what can be
conceived and what can be constructed. Building projects today are not only
born out digitally, but they are also realized digitally through “file>to>
factory” processes of computer numerically controlled (CNC) fabrication
technologies.13
So the architects have been experimenting with various manufacturing techniques which
they think would fit their practice, or a specific design best. The computer>numerically
controlled (CNC) technologies provide both two>dimensional and three>dimensional
fabrications, together with the capabilities of assembly.14 The computability of digital forms
is made possible on the basis of new forms of data, as the mathematical and numerical data
as in NURBS curves and surfaces, and they provide the relevant format for CNC machines
to process.15 The details of these fabrication methods are discussed in the following, in order
to comprehend how designers construct their design strategies by the fabrication process
they intend to utilize. This reciprocity may lead to the reformulation of design strategies,
since there is a continuous feedback between the design and construction process.16 This has
led to the studies of “rapid prototyping” in the architectural realm, where physical models are
produced with CNC technologies to cultivate more materialistic issues in design thinking. In
spite of the fact that the CNC technologies have been recognized widely as production
methods, they have not been fully embraced in model>making during the design process.
This is due to both that the CNC technologies are expensive, and a lack of systematic
approach in utilizing the machinery has not been constructed yet.
Sass points to this
deficiency and explains that;
12
. p.31.
13
.
14
Branko Kolarevic. “Digital Production.” pp.29>54.
15
Les A. Piegl. “Knowledge>guided NURBS: Principles and Architecture.” &
-, 3.6 (2006): 719>29.
16
-
E
Kenfield Griffith and Larry Sass. “Computing and Materializing Non>Uniform Shapes: An Evolutionary
Approach to Generate and Digitally Fabricate Non>Uniform Masonry Walls,” in the 2
& +
, Japan, March 30th > April 2nd 2006. pp. 227 – 35.
75
Unfortunately there are few clear methods that illustrate how designers can
effectively build free form shapes for design projects as scaled models. The
potential of an effective scaled model is acquired information in design that
will make full scale production economically feasible.17
In this context, after studying the basics of CNC machinery and fabrication techniques, rapid
prototyping strategies are discussed to focus on the changing nature of modeling again with
the CAM technologies, still with reference to the shifts that have been experienced in full
scale production and construction.
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When CAM technologies are integrated to CAD, physical models are seen to be
reincorporated into the design process. Architects are now experiencing a much more fluid
design procedure because the representation phases are dissolving between conception and
production.18 By the availabilities of design reasoning in versatile model spaces, and direct
fabrication capacities from the digital to the physical, the methods of production have
metamorphosed.19 The reasons of this succession are noticed to depend on the prosperous
compatibility between various media, the speed of transmittance between these mediums,
and the quality of altered digital information.20 In this context, a variety of CAM
technologies aid architects in materializing their designs. It can be observed that although
these opportunities have been seriously enhancing architectural design thinking, now
architects need to experiment with and acknowledge these methods and embrace the accurate
technique for their practice. As there are various ways to utilize CAM technologies, some
basics are discussed in the following, continuing with a more comprehensive discussion on
“rapid prototyping,” proven to be very promising for architectural design.
17
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.1.
18
Zeynep Mennan. “Non > Standard Mimarlıklar: Bir Serginin Ardından.”
19
Stan Allen. “Terminal Velocities: The Computer in the Design Studio.”
20
Branko Kolarevic. “Introduction.”
76
F,. No:.321 pp.37>41.
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One of the first techniques that associate the physical and the virtual realms has been “digital
scanning,” or referred to as “three>dimensional digitizing.”21 This method basically offers a
three>dimensional scanning process by the use of a digitizing tool, creating a CAD file from
the information attained from the physical model, the artifact, or the object.22 In fact, digital
scanning offers a different relationship between the physical and the digital model, which is
inversely related to CAM. Therefore this methodology is also cited as “reverse engineering”
in the engineering or product design terminology.23 In the scanning process, firstly a “point
cloud” is created by scanning, in other words by tracing the physical object through various
points along its surface geometry.24 This data composed of C) G) H points in space is
interpreted by the “conversion software” to produce an approximate digital version of the
model’s geometry.25 This transformation continues with the joining of the points and
generating NURBS curves, which are later lofted to create the NURBS surfaces.26 Three
dimensional scanning can be realized in three methods: Firstly, it can be done by the
“digitalizing arms,” where the designer scans the object surface manually.27 Secondly, it can
be processed automatically by a coordinate measuring machine (CMM), which has a
“digitizing position sensor” that is “mechanically kept in contact with the surface of the
scanned object.”28 Finally, the third procedure involves a “non>contact” scanning method in
which the scanners utilize laser light and digital cameras to read the object, and then this
information is processed from images to the digital format.29
21
Branko Kolarevic. “Digital Production.” p.31.
22
“Applications 3D.” Reached at: http://www.applications3d.com/index.html (Last accessed on 01.06.2008.)
23
24
“Applications 3D.”
25
Branko Kolarevic. “Digital Production.”. p.31.
26
“Applications 3D.”
27
Branko Kolarevic. “Digital Production.” p.32.
28
29
“3D Laser Scanning.” Reached at: http://www.3dlaserscanning.org/ (Last accessed on 01.06.2008.)
77
One of the first offices who used digital scanning was Gehry Partners.30 Frank Gehry chose
to work with physical models to begin with, in which he valued the “direct tactility of the
physical model and the speed, freshness, and the energy of the freehand gesture.”31 As
Mitchell explains Frank Gehry’s working method;
In Gehry’s office, the process begins with the use of a very accurate three>
dimensional digitizer to capture vertex, edge, and surface coordinates from a
large>scale physical model. Using CATIA, mathematical curves and surfaces
are then fitted as closely as possible to these digitized points. Rapid>
prototyping devices, such as computer>controlled three>dimensional
deposition printers and multi>axis milling machines, are then used to "build
back" physical models for visual inspection and comparison with the
original. The process iterates, with adjustments as necessary to the digital
model, until the design team is satisfied.32
Gehry basically chose to design with physical modeling, where he adjusted CATIA
(Computer Aided Three>dimensional Interactive Application) to function as a “translation”
tool between the physical and the digital media.33 As ascertained by Kolarevic, in Gehry’s
practice, “the digital technologies are not used as a medium of conception but as a medium
of translation in a process that takes as its input the geometry of the physical model and
produces as its output the digitally>encoded control information which is used to drive
various fabrication machines.”34 This iterative mode of Gehry’s practice has been interpreted
by Mitchell as an ability to “transcend the limitations of traditional CAD functionality
alone.”35 Similarly, Dollens favors Gehry’s design process and states that it combines the
“warps and wefts of one experiment with the splines and lofts of another and arrives at a
third transformative structure.”36
30
Branko Kolarevic. “Digital Production.” p.31.
31
William J. Mitchell. “Roll Over Euclid: How Frank Gehry Designs and Builds.” Ed. Fiona Ragheb.
)
New York: Guggenheim Museum Publications, 2001. p.354.
32
33
34
,
. p.358.
Branko Kolarevic. “Digital Production.” p.31.
. p.31.
35
Timothy Lenoir and Casey Alt. “Flow, Process, Fold: Intersections in Bioinformatics and Contemporary
Architecture.” #
%
2
)%
* .
p.15.
http://www.stanford.edu/dept/HPS/TimLenoir/Publications/Lenoir_FlowProcessFold.pdf
(Last accessed on 01.06.2008.)
36
Dennis Dollens. “Fish, Snake, Gehry & Guggenheim.” Quoted in Timothy Lenoir and Casey Alt. “Flow,
Process, Fold: Intersections in Bioinformatics and Contemporary Architecture.” #
%
2
)
%
* .
p.15. Reached at:
78
&1'! :=4 The translation process in Gehry’s Office.
In the first image, the digitized dots are seen, which are later reconstructed into a digital surface. The model can
be rematerialized by the CNC technologies. Kolarevic, Branko. “Digital Production,” in
Edited by Branko Kolarevic. New York: Taylor and Francis, 2003. p.31.
Although this process might seem inspiring in the first place in terms of constructing the
association between the two media, it can be seen that it does not actually pursue with the
generative potential of CAD indeed. As Lenoir and Alt argue, instead of engaging in “a
transformative repetition of form through CATIA, he [Gehry] subjects each CATIA
prototype to a process of .
-
-
and thus
$
privileges the original physical form.”37 In this sense, digital scanning can be said to have
formed an introduction with the CAD and CAM togetherness in the architectural realm.
However, architects needed a different method where they could operate physical modeling
more as an extension of CAD models in terms of dynamic generative and manipulative
potentials. It can be suggested that only when both modeling media have a transformative
role in the design, this association becomes meaningful, efficient, and productive.
=4 4 4 "*)' !E '* !&$ --/ "( !"-- , 5'&)* (
The most common technique of CNC technologies is the CNC cutting which works on two>
dimensions.38 It involves cutting machines such as routers and knife cutting, as well as
cutting with laser>beam, plasma>arc, and water>jet.39 The two>dimensional cutting involves
two>axis motion, where the motion is realized by the movement of the cutting head, the bed,
http://www.stanford.edu/dept/HPS/TimLenoir/Publications/Lenoir_FlowProcessFold.pdf
01.06.2008.)
37
(Last
accessed
on
Timothy Lenoir and Casey Alt. “Flow, Process, Fold: Intersections in Bioinformatics and Contemporary
Architecture.”
38
Branko Kolarevic. “Digital Production.” p.34.
39
http://www.multicam.com/ (Last accessed on 01.06.2008.)
79
where the material is placed, or a combination of both.40 In these machines, various materials
can be processed, such as paper, board, clay, styrofoam, perspex, acrylic, vinyl, plastic,
wood, plywood, metal, and stone.41 However, it should be remembered that each technique
would produce different results in the cleanness and accuracy of the cut, depending on the
material that is being cut as well.42 Additionally, in order to obtain cost>efficacy, the material
sizes should be decided accordingly because the machines can perform on certain sizes and
thicknesses of materials.43
=4 4 4:4 '2 ! $ &.
2!&$ &"(
In three>dimensional CNC fabrication techniques, basically two types of methods can be
classified: The subtractive fabrication and the additive fabrication.44 Subtractive fabrication
is based on the removal of a certain volume of material from a raw solid block.45 A multi>
axis milling process is used in this procedure, which can involve “electro>, chemically>, or
mechanically>reductive” methods.46 As Kolarevic explains, in two>axis milling routers, the
rotating drill>bit moves along the C and G axes. The three>dimensional milling works in the
same logic with two>dimensional cutting, but by the extension of the ability of the drill>bit to
move along the H axis. In this way, volumes become available to be subtracted. However,
there is an important constraint in three>axes milling, which is its incapability of
40
41
Mark Morris.
Porter and Neale.
% -
2
%
42
Jennifer C.K. Seely. “Digital Fabrication in the Architectural Design Process.” Master Thesis.
%
%
2004.
http://ocw.mit.edu/NR/rdonlyres/Architecture/4>510Fall>2005/D031955D>02AA>4AC8>8786>
6D7C8DFFBA17/0/seelythesis.pdf
(Last accessed on 01.06.2008.)
43
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.1.
44
Branko Kolarevic. “Digital Production.” p.34.
45
Marshall Burns. “The Origins and Direction of the Fabricator Revolution.”
/
,
1997. Reached at : http://ieeexplore.ieee.org/iel4/5230/14218/00651758.pdf?arnumber=651758 (Last accessed on
01.06.2008.)
46
Branko Kolarevic. “Digital Production.” p.34.
80
manufacturing the “undercuts.”47 For this purpose, four> or five>axes milling machines are
required, which add the A and B axes to the motion of the drill>bit by changing its angles.48
&1'! :<4 The motion of the drill>bit and the bed in three> and five axes milling machines.
Branko Kolarevic. “Digital Production,”
Branko Kolarevic. New York: Taylor and Francis, 2003.
Edited by
CNC milling machines operate with post>processing software, which generates the
numerically controlled information and transmits them to the machine.49 It functions with a
set of coded instructions, which create the “tool path” for the drill>bit.50 CNC milling has
been one of the oldest digital fabrication technologies. As Kolarevic explains, many large
firms have been employing this technology since the 1970s to produce models and for the
testing of structural decisions.51 He adds that, since the 1980s the technology has begun to be
used in full>scale construction components. These productions may involve stonework,
cladding, or the fabrication of structural elements. Furthermore, CNC milling has recently
begun to be used in the production of the “molds” for the components.
=4 4 4 4 ,,& &.
2!&$ &"(
The second type of three>dimensional fabrication is the additive fabrication techniques.
Additive fabrication techniques can also be referred to as “layered manufacturing,” “rapid
prototyping (RP),” “solid free form fabrication,” “stereolithography (SLA),” or “desktop
47
pp.34>6.
48
49
Jennifer C.K. Seely. “Digital Fabrication in the Architectural Design Process.”
50
Paul F. Jacobs. + - 2
of Manufacturing Engineers, 1992.
51
%
Branko Kolarevic. “Digital Production.” p.33>4.
81
0
-
Dearborn: Society
manufacturing.”52 These methods are basically referred to the automatic materialization of
data that is constructed in CAD, through the use of CNC technologies which are used in
three>dimensional production. In all these procedures, fundamentally the digital model is
analyzed and sliced into two>dimensional layers by the related software.53 Then it is sent to
the SLA machine which employs a computer controlled laser to treat a photo>sensitive resin
(a polymer) in a layer by layer fashion, producing the 3D artifact.54 This process is proved to
be very effective and fast, in which an artifact is materialized in a few hours.55
In the building industry, additive fabrication processes are applied in the production of
“components in series, such as steel elements used in light truss structures.”56 An interesting
method has recently begun to be used in full scale manufacturing of large scale components,
which is called “contour crafting (CC).”57 This system promises the production of highly
finished building parts directly from the digital data.58 Additionally, as Kolarevic and
Mitchell mention, the digital fabrication can offer effective solutions within budget which
would be very high if traditional manufacturing techniques are used.59 Mitchell adds that, in
this way, the construction would also becomes “global,” without the restriction of local
manufacturing traditions.60
52
. p.36>7. All these methods can be gropued under the name “rapid prototyping.” However, it should be
noted that there are some different treatments of machines on the model which are actually different procedures.
To exemplify some chief techniques, there are stereolithography (SL), fused deposition modeling (FDM), three>
dimensional printing (3DP), multiJet modeling (MJM), and laminated object modeling (LOM). For the details on
these procedures and the materials they can process, please see: Jennifer C.K. Seely “Digital Fabrication in the
Architectural Desgin Process.”
53
Branko Kolarevic. “Digital Production.” p.36>7.
54
Paul F. Jacobs. + -
2
-
%
0
-
55
“Industrial Laser Solutions.” Reached at:
http://www.industrial>lasers.com/articles/article_display.html?id=219985 (Last accessed on 01.06.2008.)
56
Branko Kolarevic. “Digital Production.” p.36>7.
57
“Contour Crafting.” Reached at : http://www.pathnet.org/sp.asp?id=7364 (Last accessed on 01.06.2008.)
Contour crafting (CC) is developed by Behrokh Khoshnevis, as the Principal Investigator and Yan Xiao, as the
Co>Principal Investigator at University of Southern California.
58
59
60
Branko Kolarevic. “Digital Production.” p.33.
William J. Mitchell. “Antitectonics: The Poetics of Virtuality,” in John Beckmann, (ed.)
3
)+ &
&
New York: Princeton Architectural Press, 1998.
82
&1'! :>4 The stereolithography process.
“Stereolithography.” Reached at: http://www.stereolithography.com (Last accessed on 16.06.2008.)
In the model making procedures, three>dimensional production has pioneered a vastly
versatile field for architects to experiment with, which is discussed in the following section
in detail. In the scope of this thesis, the three>dimensional additive fabrication is favored to
be referred to as “rapid prototyping” in general to provide for terminological accuracy with
the relevant sources.
=4;4
)&, !" " /)&(1
Over the last three decades architects have been meticulously practicing with CAD. It has
been discussed that the first years of this encounter resulted in a highly experimental and
explorative period, which was also very immaterialist and abstract in conception. In time,
architects are in need of the means to realize and concretize the outcome of their projects.
This urge can be defined by the tectonic aspect of architecture, and as Giedion points out to
this repulse, he explains that the structure and materials impel architecture to become a
reality.61 In the building industry, this search has found its answer with the CAM
technologies. Meanwhile, there is also the fact that various computer>generated design work
remain in the digital form of models and image format. Sass criticizes this situation and
states that;
61
Sigfried Giedion. %University Press, 1967.
)
)
$
83
$
Cambridge: Harvard
Over the past 10 years many architects have focused on the production of
free form designs as computer generated images and less as physical
products (models or building). Both magazine and design books have graced
their covers with curvy almost sensual images of free form designs. These
images almost ignore the complexities of construction or any potential as a
materialized construct.62
Sass suggests that the digital free form needs to be tested in its material form before it is
realized as a building, concerning many aspects of design ranging from structure to
economy.63 Considering this need, he suggests that “for creative design fields an effective
means to produce free form models has been rapid prototyping.”64 In architectural terms,
Sass adds that, not only in the realizations of complex forms, but in all its configurations,
physical models preserve their importance for designing. He explains that physical models
do not only supply information on structure and construction, but also “provide design incite
on lighting, structure and the relationship of architectural spaces.”65 He strictly recommends
that architects should consider rapid prototyping, as an integral tool in design.
Rapid prototyping provides architects with the feedback that comes from the materialization
of digitally generated design. Griffith and Sass acknowledge that there is a “continual design
intention to experiment with more provocative forms,” but these experiments need to be
completed with the production of artifacts to obtain a reflection of the practice.66 Hence there
is a need to evaluate the physicality of design at an early stage. In this context, the physical
architectural model is reintegrated to the design process. By appointing physical models
together with the digital models, it is made possible to “redesign based on changes found
while exploring the design.”67 This “evolutionary process” is introduced by Griffith and Sass
as “[a]n alternative approach to typical evolutionary design by considering manufacturing as
62
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.1.
63
64
Kenneth Cooper. + - 2
%
-New York: Marcel Decker, 2001.
Paraphrased in Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.”
-) )
p.1.
http://ddf.mit.edu/papers/index.html
(Last accessed on 01.06.2008.)
65
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.2.
66
Griffith and Sass. “Computing and Materializing Non>Uniform Shapes: An Evolutionary Approach to Generate
and Digitally Fabricate Non>Uniform Masonry Walls.” P.228.
67
.
84
part of the generative process versus virtual evolution and final output.”68 Therefore the
manufacturing process is perceived to be utilized as a constraint generator in the course of
design. It can be observed that the fluidity in design process and production phases is
solidified by the versatile character of the architectural model. The architectural model can
be commented to have become a problem>solving tool and offers to realize design with ease
and accuracy by allowing testing at a very early stage.
Physical models empower designers to demonstrate and study the details of
space, light and form. However the difficulty in working with physically
large models is that manufacturing components and assembly require many
hours of labor in translating information from drawing to physical materials.
In return the process illuminates many properties at full scale construction
with the benefit of physical reasoning within the design space.69
It can be observed that, rapid prototyping greatly help to generate strategies in CAD modeling
by cultivating questions about the fabrication>related issues. In other words, it directly brings
the decisions that are ought to be taken in the materialization phases to the medium of design.
Additionally, rapid prototyping may “inform full scale production” by testing the structure
and detailing of the project.70 Maxwell, putting the emphasis on the tectonic aspect, observes
that “no building, however abstract its forms, is able to set up an ideal world without
accounting for the penetration of its idea space by real space.”71 Although it might be
conceptualized that there has been an inclination either towards digitalization, in other words
what has been conceived by some theoreticians as “dematerialization,”72 or towards
physicality, it can be observed that neither of them is completely relevant to the contemporary
condition. Instead, it can be strongly argued that there is a “convergence” between these two
media. The virtual conceptions of modeling and contemporaneous physical modeling offered
by rapid prototyping are becoming increasingly integrated and indispensable. With the
implementations of rapid prototyping, the correlation between the virtual and the real has
68
p.229.
69
p.228.
70
71
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.1.
Robert Maxwell. %$
Princeton University Press, 1993.
&
&
72
&
New York:
William J. Mitchell. “Antitectonics: The Poetics of Virtuality.” p.208. Mitchell explains that some
theoreticians are troubled by this dematerialization and might claim that “these are things of another kind, and
that their production and consumption belongs to a different and incompatible discourse.” However Mitchell
doubts that such a sharp distinction can be sustained, since “the material now appropriates from the virtual, and
the virtual from the material.”
85
been reconstructed. However, it is clear that more time is needed to achieve maturity in using
both methods effectively as designers still need to fully comprehend, command and embrace
rapid prototyping tools to integrate them as a common and frequently used method while
designing.
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(,
", -&(1
!
1&
As discussed previously in the subchapter about the CNC equipments, each machine and
technique bring about their own constraints. The major constraint in this field seems to be the
executable object size depending on the machine type. Scale models which are small in size
can be directly materialized with three>dimensional fabrication tools. However, a chief
question arises regarding the “scale” of a model.73 While modeling in the physical space,
various scales can be considered. It can be seen that many rapid prototyping techniques
involve obtaining the pieces of a model, and then the assembly is realized manually.74
Therefore, it can be deducted that designers actually possess flexibility in deciding the scale
of physical modeling. However, due to the restraining condition of the current available tools,
designers need to consider and develop strategies about how a physical model can be
constructed.75
&1'! :?4 The continuous link between the evolutionary stages of design by rapid prototyping.
Larry Sass and Marcel Botha propose a strategy in building “mass customized, designed housing to emergency
and poverty stricken locations.” Sass, Lawrence and Marcel Botha. “The Instant House: A Production System for
Construction with Digital Fabrication.”
-)
)
http://ddf.mit.edu/papers/index.html
(Last accessed on 01.06.2008.)
73
Alex Selenitsch. “Small, Real, Large,” in Homo Faber: Modeling Architecture Exhibition, Melbourne: RMIT
School of Architecture and Design May 2006. Edited by Brenda Marshall. #
/
&
pp.3>6.
74
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.1.
75
Griffith and Sass. “Computing and Materializing Non>Uniform Shapes: An Evolutionary Approach to Generate
and Digitally Fabricate Non>Uniform Masonry Walls.”
86
It can be seen that this situation proposes a problematic area when these two model media are
joined. The “scale” in the virtual space of the model had gained another dimension. It can be
said that in the virtual space, objects keep a “proportional” relationship to each other.
However, when this flexibility in the virtual medium is desired to be actualized in the real
space, then a more earth bound conception of “scale” is given rise.76 This has been
experienced by designers using CNC machines as the constraints of the tools, some of which
can be exemplified as the workable object size and desired material usage.77 It can be argued
that such a constraining outline has always been present in physical modeling, as to referring
to manual modeling techniques. Therefore this constraining condition becomes a general
boundary, defined by the materiality and physicality of the real, as superposed on the
virtuality of the computer model.
Many researchers contribute to the improvement of rapid prototyping techniques, though
their concentration might be carried on its different aspects. As studied earlier, many three>
dimensional fabrication machines produce physical artifacts by “collecting thin or thick
printed layers adhered to newly produced layers many times over.”78 Therefore the model
quality differs by “model strength, layer smoothness, and fabrication speed.”79 Sass explains
that many researchers focus on different fields to improve the CNC machinery, software, and
strategies.80 For instance, he exemplifies Beaman, Gebhardt, and Chua, who rivet their
research on “structurally effective model manufacturing,” which takes into consideration
various materials and details.81 Others as Lipson try to offer advancement in reducing the cost
76
77
Sass and Botha. “The Instant House: A Production System for Construction with Digital Fabrication.”
78
Larry Sass. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.” p.3.
79
80
81
$
$
Norwell, MA: Kluwer Academic Publishers, 1997.
Chua Chee Kai. et. al. + - 2
Scientific Publishing Company, 2003.
2
Joseph J. Beaman. et.al. %
-0
2
Andreas Gebhardt. + -
2
-
-
--
Münich: Hanser, 2003.
87
+
River Edge NJ: World
of rapid prototyping to make it viable to all.82 The software of rapid prototyping tools are
studied by researchers as Gibson in the improvement of speed. Some researchers have also
been trying to improve the usage of rapid prototyping in the very early stages of design.83
This kind of modeling has begun to be used by product designers,84 and would propose a very
promising method for architectural design.
Sass also points to the portability of the physical model, and proposes a method “to generate
free form designs as physical models that assemble and disassemble for transportation or
design additions.”85 It can be commented that this “reassembling” and “reconfiguration”
potential might be very promising on both modeling and building levels. Concerning the
prior, it can be said that both digital and physical models can work unitedly as a “working
model” which would be highly open to alterations. In this sense, the physical model extends
its field by its dialogue with the computer generated model. Considering the building scale,
this reconfigurability may promise that the formalization of a building would never be
realized. It can be speculated that in the future, the morphogenetic potential of form might
also be realized in this way on a full scale.
=4;4 4
3 ""6
%
%/ &$ -
", -
Architects have now been experiencing a complex form of designing with the combination
of various representation techniques. In this complex mode of designing, it can be seen that
model making has been employed in many stages, linking various design procedures. With
the reconstruction of the relationship between the means of design, by the computer>
generated models and physical models obtainable from CNC machines, the physical model
has been repositioned. Respectively, due to the recognition of the rapid prototyping, the
digital model has also been reevaluated.
82
Hod Lipson. “Homemade: The future of Functional Rapid Prototyping.”
2005. pp. 24>31.
83
Ian Gibson. %
84
Bart Eisenberg. “Thinking in Prototypes.” 2
$
%
+ -
2
-
%-
, Feature Article, May
. Chichester, West Sussex: Wiley Academy, 2002.
.
-
“Product Design.” Reached at: http://www.dcontinuum.com/content/newa.php?id=149 (Last accessed on
01.06.2008.)
85
88
&1'! : 4 The schema on the left explains the design process with the utilization of 3D models and 2D
drawings between the conception and construction phases. (Drawn after Yu>Tung Liu.)
&1'! :@4 The schema on the right shows the complex relationship between various representation techniques
employed until the realization of the building is completed, and maybe even afterwards. (Drawn after William J.
Mitchell.)
Cheng>Yuan Lin. “The Representing Capacity of Physical Models and Digital Models.” In &
2
A
&
& +
Shanghai: Tongji University, College of Architecture and Urban Planning. p.54.
+
7@@@)
)
However it should be noted that these new positionings would not imply a complete shift
from one to another. Instead, it can be seen that it is a condition where both positions have
been displaced and reconstructed through their novel relations. This relationship has become
a highly incorporated one. For instance, in physical modeling with rapid prototyping, many
strategies involve an algorithmic logic.86 Meanwhile, in the generative processes of the
digital model, the tectonic aspect of architecture has thoroughly been taken into
consideration in ways similar to physical modeling. Furthermore, the manual physical
modeling procedures are also incorporated into this context. It can be seen that the growing
implementation of physical modeling is not a condition where the excessive potential of
“virtuality” is weakened, but just as the opposite it has finally converged to the required tools
for its materialization.87 In this sense, the virtual forces, drives, and processes can be
supposed to be heading towards unification with those of the real. Mitchell explains that, the
variety in design media would provide different observations of real space; hence this
condition would allow different reasonings to be made.88 In terms of CAD, Mitchell suggests
86
Sass and Botha. “The Instant House: A Production System for Construction with Digital Fabrication.”
87
William J. Mitchell.
0
88
89
that in order to integrate the computer into design processes more powerfully, its boundaries
should be extended into other methods where more value can be added.89 Instead of having a
completely digital>mediated or a physical>mediated design process, the freedom and
flexibility to translate design information between these media, and the ability to construe
one in the other’s set seems to be much more promising in architectural terms.
Mitchell exemplifies this situation by analogy in two>dimensional representation. He states that “this is similar to
the fact that a two>dimensional plan cannot generate the same critical language as that of a section.” However, the
condition experienced with CAD/CAM Technologies is obviously much more complex as they seek a “non>
representationality” in their conception.
89
William J. Mitchell. “The Virtual Studio.” &
I
90
16 (1997): 6>12.
<
In the second half of the twentieth century, the mode of architectural design is observed to
have undergone a significant shift that has been mainly consequent to the developments in
computer>aided design (CAD), especially due to the designing procedures involving
parametric modeling, associative geometry, keyframe animation, genetic algorithms, and
scripting. The thesis has argued that such changes do not only depend on the alteration of
architectural design tools as a consequence of CAD technologies, but also feeds from a novel
conceptual background as architecture has always been in a highly interdisciplinary
relationship with mathematics, geometry, science, and philosophy.
The alterations in the conceptions of “space,” “time,” and “form” based in the mathematical
realm are seen to influence architecture to get acquainted with the represent the new complex
structure of these concepts. In this framework, the studies on non>Euclidean geometries and
topological structures have been addressed to clarify the notions of dynamism, pluralism,
and multiplicity in contemporary design conceptions. The computational perspective has
been highlighted by discussions on NURBS geometries, parametrics, associative geometry,
algorithms, and scripting, as both related to computer programming and usage in the
architectural design process. By means of the new dynamic form generation and
manipulation processes of CAD modeling, the architectural model has departed from its
static and deterministic mode. The design process has become non>linear, non>deterministic
and capable of producing emergent forms. The dynamic, indeterministic, and non>linear
behavior of the digital realizations has challenged the conventional tectonic apprehension.
Procedures as scripting, have been of great value in challenging the conventional visual and
tectonic thinking in architecture and introducing the emergent character of form.
Additionally, as Mennan discusses, it operates on a non>visual mode, where graphic
rationality and visual training is highly challenged.1
1
Zeynep Mennan. “Non Standardization Through Non>Visualization: Scripting the Dom>Ino House”. In
Oosterhuis, Kas and Feireiss, Lukas (eds.), 2006.
& 0
%
)'
& ) .
(Rotterdam: Episode Publishers) pp. 234>241.
91
In the philosophical aspect of the discussion of changing context of architecture, the thesis
put an emphasis on the duality of ‘virtuality’ and ‘actuality.’ However, as Greg Lynn has
observed, “the term .&! ' - has recently been so debased that it often simply refers to the
digital space of computer>aided design.”2 However, it actually belongs to a much broader
context of discussions. The thesis tried to emphasize the term virtual in a two fold argument:
Firstly, the study tried to provide a background from the studies in post>phenomenological
philosophy and to emphasize virtuality as a world of conception and representation, where
virtuality constitutes the principal potential and generative authority for architectural
production. The definition of the relationship between “virtuality” and “actuality” has been
based on philosophical studies by Henry Bergson and Gilles Deleuze. When the virtual is
formulated as a potential which may have multiple and divergent actualizations, the
actualization process is seen to become pluralistic and indeterministic. The related
discussions of diagrams and non>representationality have tried to be pursued in this
framework. Secondly, the virtual space of representation has been referred to, in order to be
able to maintain the recognition of two model worlds, both the digital and the physical, in the
same representational scale.
It can be seen that for many designers the computer>generated model creates an increasing
distance between the designer and the object as they belong to two different worlds.
However at the same time, the digital model controversially offers an interactive and
responsive mode of designing, which allows designers to work directly on the object. The
capability of building digitally is also seen to empower this situation. It is true that the
representational phases are dissolving, however this observation can be said to be true
concerning the traditional two>dimensional orthographic set3, or the architectural model in its
function as an engineering or detail model. It can be noticed that the need for such
representations to share information between architects or different disciplines involved in
the construction is weakening, because these different groups are operating on the very same
model during the process. In regard to that argument, the thesis tried to maintain the position
that recognizes the necessity for visual and tectonic representation.
2
Greg Lynn.
p.9.
3
Ba(ak Uçar. MArch Thesis. “An Assesment of the Architectural Representation Process Within the
Computational Design Environment,” 2006, METU.
92
As the tools of architectural design have answered to these conceptual shifts, architects
increasingly employ computer>generated models and subsequently computer>aided
manufactured physical models. Architects, in their dense involvement in CAD for many
years, seem to have felt the requirement of testing their designs in the physical space before
extracting them as full scale constructions. It can be detected that they demand the feedback
from the physical space of design at very early stages of the process, to feed the prosperous
digital model with continuous data integration from the real world. So they integrated CAM
modeling into the design process where physical modeling accompanies digital modeling,
which is currently referred to as rapid prototyping (RP). Within this context, the physical
model is redefined and reintegrated to the design process as a digitally>generated entity, and
the position of the manually>produced physical model has been rediscussed within this
scope.
With the unification of the two forms of models, in their state of belonging to seemingly two
different design worlds, the architectural model can be asserted to have grown to be an even
more powerful design tool. With the recognition of RP, computer>aided modeling has gained
more meaning as the materialization processes can now accompany its dynamism. By means
of the two different design worlds, the digital and the physical, the different constrains from
these environments could be processed as input data into the design work. By the ability to
produce and build directly from CAD models, which is cited as a “file>to>factory” process4,
the traditional representation phases are observed to be dissolved. Similarly, the conventional
staged construction of the design process has also dissolved and fused into a much more
fluid state. In other words, the traditional model types, involving the conceptual, working,
and presentation models, have been replaced by a single computer model which provides for
continuous design conception and coordinated manipulation possibilities. Hence, a single
model can function for various purposes, building on itself, and linking different designers
and disciplines.5
Bernard Cache and Patrick Beaucé predict that by the aid of numerical manufacturing
techniques, architectural design is heading towards operating in a fully>integrated
4
Kolarevic cites the direct process of production from CAD models to materiality by the use of CAM tools as the
“file>to>factory” process. Kolarevic, Branko. “Digital Morphogenesis.”
Edited by Branko Kolarevic. New York: Taylor and Francis, 2003.
5
Jim Glymph. “Evolution of the Digital Design Process.” p.113.
93
CAD/CAM system.6 All the more so, as the design process has extended into these new
operational procedures, architects now need to adapt themselves into this new design
environment. It can be observed that there are two subject fields that they need to improve:
Firstly, the design process needs to be advanced into a state where the two types of models,
the computer>generated digital model and the computer>generated physical model, in other
words CAD and CAM technologies, should be used to their full capacity. Secondly, the
CAM operations and rapid prototyping seem to require further investigation to reach a
maturity in the architectural domain. Eventually, CAD has been exposed to a high interest
and experimentation for nearly five decades; however CAM is respectively new in the
architectural realm. In this scope, it should be remembered that CAD has also received a
critical inspection in this mutual relationship. In the immediate future, CAD and CAM
modeling processes can be observed to converge even more and become increasingly
integrated. William J. Mitchell argues that on the one hand architects are going to seek
relevant tools from other disciplines and maybe import them to the architectural domain; on
the other hand they will try to reinterpret the tools they have at hand and maybe develop
novel methods that would fit the current paradigm:
Today, architects are increasingly able to take advantage of accumulated
investment in code, fast computers that support complex derivation
processes, and CAD/CAM fabrication machines that make it highly
advantageous to invest in the production of digital information. They can
exploit the resulting opportunity for more efficient exploration of familiar
design worlds. Or – far more interestingly – they can seize the chance to
open up new, previously inaccessible worlds.7
With the reduction in the expenses of fabrication methods, a multi>faceted design medium
can be said to await architects with the magnification of fluidity in the design procedures and
expansion into other media.8 As rapid prototyping would serve in the continuous production
line of artifacts, in due course the tools of design and modeling can be expected to change
over again to respond to the needs of that moment, together with the acquired knowledge
distilled from the explored design media and their potentials. In time, observing from the
6
Patrick Beaucé and Bernard Cache. ' D
p.xi.
)
!
"
2 D
Wien: Springer Wien, 2007.
7
William J. Mitchell. “Design Worlds and Fabrication Machines,” in Kolarevic, Branko. (ed.)
New York: Taylor and Francis, 2003. p.79.
8
Jim Glymph. “Evolution of the Digital Design Process.”
94
convergence of different types and media of architectural models, it can be predicted that
their physical and digital modes of would increasingly merge.
95
“A Spline.” Reached at: http://pages.cs.wisc.edu/~psilord/blog/ (Last accessed on 26.05.2008.)
Aish, Robert. “Compter>Aided Design Software to Augment the Creation of Form.” &
Ed. Francois Penz. Harlow, UK: Longman, 1992. pp.97>104.
-
Alberti, Leon Battista. '
"
" , Translated by Joseph Rykwert, Neil
Leach, and Robert Tavernor. Cambridge, MA: The MIT Press, 1988.
Allen, Stan. “Terminal Velocities: The Computer in the Design Studio.” Ed. John Beckmann.
The Virtual Dimension: Architecture, Representation, and Crash Culture. New York: Princeton
Architectural Press, 1998.
Anderl, R. and R. Mendgen. “Parametric Design and Its Impact in Solid Modeling Applications.”
ACM Symposium on Solid and Physical Modeling: Proceedings of the Third ACM Symposium
on Solid Modeling and Applications, Salt Lake City, Utah, United States, 1995. pp.1>12.
Andia, Alfredo. “Integrating Digital Design and Architecture During the Past Three Decades.”
2
% .
&
3
%
43%
5678) * .
&
)" ,
) & ) 9667
“Applications 3D.” Reached at: http://www.applications3d.com/index.html (Last accessed on
01.06.2008.)
“Archimedes’ Labaratory.” http://www.archimedes>lab.org/workshoptorquato.html (Last
accessed 07. 07.2008.)
Arnheim, Rudolf.
1977.
Berkeley: University of California Press,
“Bauhaus Art,” Reached at:
http://www.bauhaus.de/english/bauhaus1919/kunst/kunst_modulator.htm
04.07.2008.)
Braham, William. “After Typology: The Suffering of Diagrams.”
n.3:9>11. June 2000.
(Last
accessed
on
) v. 70
Burry, Mark. “Paramorph: Anti>accident Methodologies.” # , West Sussex: Academy Editions, 1999.
Cache, Bernard. “Plea for Euclid.”
http://architettura.supereva.com/extended/19990501/index_en.htm.
Last accessed on 24 May, 2008.
Carpo, Mario. “Drawing with Numbers: Geometry and Numeracy in Early Modern Architectural
Design.” <
%
#
62.4 (2003): 448>469.
Casti, John L. +
1992.
+
2
!
96
New York: John Wiley,
Casti, John L. !
" !
# $%
York: John Wiley and Sons, 1997.
&
%
New
“The Center for Complexity Science.” Reached at: http://www.ccs.org.il/ (Last accessed on
13.06.2008.)
Coulton, J.J.
Oxbow Books, 1995.
Cooper, Kenneth. + Decker, 2001.
,
2
Coulton, J.J.
Oxbow Books, 1995.
! , 2
-
%
,
New York: Marcel
--
! , 2
Oxford:
%
Coxeter, Harold Scott Macdonald.
Association of America, 1998.
Deleuze, Gilles. "
Oxford:
%
Washington, D.C.: Mathematical
New York: Zone Books, 1988.
Deleuze, Gilles.
Paris: Editions de Minuit, 1986.
De Landa, Manuel. “Deleuze, Diagrams and the Genesis of Form.”
9B (1998): 30>4.
Di Cristina, Guiseppa. “The Topological Tendency in Architecture.” %
Ed. Guiseppa Di Cristina. Chicester: Wiley Academy, 2001. pp.6>13.
Dollens, Dennis. “Fish, Snake, Gehry & Guggenheim.” Quoted in Timothy Lenoir and Casey
Alt. “Flow, Process, Fold: Intersections in Bioinformatics and Contemporary Architecture.”
#
%
2
)%
* .
http://www.stanford.edu/dept/HPS/TimLenoir/Publications/Lenoir_FlowProcessFold.pdf
(Last accessed on 01.06.2008.)
Downton, Peter. “Making Dust, Acquiring Knowledge.” Homo Faber: Modeling Architecture
Exhibition, Melbourne: RMIT School of Architecture and Design, May 2006. Edited by Brenda
Marshall. #
/
&
pp.8>12.
Downton, Peter. “Temporality, Representation and Machinic Behaviours: Model Dialogues with
the Self, Collaborators, Clients and Others.” Homo Faber: Modeling Architecture Exhibition,
Melbourne: RMIT School of Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
pp.33>8.
Eastman, Charles. Building Product Models: Computer Environments Supporting Design and
Construction. Boca Raton, FL: CRC Pres, 1999.
Eisenman, Peter. “Diagram: An Original Scene of Writing.”
Eisenman. New York: Universe, 1999. pp.26>35.
Farin, Gerald E.
Peters, 1995.
Frazer, John. .
*+"%
2 D
.
2
Edited by Peter
*
Wellesley, MA: A K
London: Architectural Association, 1995.
97
Galison, Peter. “Aufbau/Bauhaus: Logical Positivism and Architectural Modernism.” &
;
) n. 16 (Summer 1990): 709>52.
Gao, Wan>Ping. “Digital Tectonics,” in Yu>Tung Liu, (ed.)
966B
$
Basel: Birkhauser, 2004. pp.66>77.
.
)
Griffith, Kenfield and Larry Sass. “Computing and Materializing Non>Uniform Shapes: An
Evolutionary Approach to Generate and Digitally Fabricate Non>Uniform Masonry Walls,” in the
2
& +
, Japan, March 30th >
April 2nd 2006. pp. 227>35.
Grosz, Elizabeth.
'
Cambridge, MA: The MIT Press, 2001. p.142.
3
+
%-
Henderson, Linda Dalrymple.
Princeton, N.J.: Princeton Architectural Press, 1983.
“Homeomorphism.” Reached at: http://mathworld.wolfram.com/Homeomorphism.html (Last
accessed on 29.05.2008.)
Imperiale, Alicia.
2000.
$
Basel: Birkhauser,
%
Jacobs, Paul F. + - 2
Dearborn: Society of Manufacturing Engineers, 1992.
%
0
-
Kolarevic, Branko. “Introduction.”
Edited by Branko Kolarevic. New York: Taylor and Francis, 2003. pp.2>10.
Kostof, Spiro. “The Practice of Architecture in the Ancient World: Egypt and Greece.”
& #
2
Ed. Spiro Kostof, New York: Oxford
University Press, 1977.
Lenoir, Timothy and Casey Alt. “Flow, Process, Fold: Intersections in Bioinformatics and
Contemporary Architecture.” #
%
2
)%
* .
p.15.
http://www.stanford.edu/dept/HPS/TimLenoir/Publications/Lenoir_FlowProcessFold.pdf
(Last accessed on 01.06.2008.)
Liu, Yu>Tung. (ed.) “Digital Creativity: Conversation with Birger Sevaldson / OCEANnorth.”
=
>
? $ . Basel: Birkhauser, 2005. pp. 68>73.
Lynn, Greg.
New York: Princeton Architectural Press, 1999.
MacDonald, William L. “Roman Architects.”
& 2
Ed. Spiro Kostof, New York: Oxford University Press, 1977.
#
Mennan, Zeynep. “Des Formes Non Standard: Un ‘Gestalt Switch’.”
%
. Ed. Fréderic, Migayrou, and Zeynep Mennan. Paris: Editions du Centre Pompidou,
2003. pp.34>41.
Mennan, Zeynep. “Non Standardization Through Non>Visualization: Scripting the Dom>Ino
House”.
& 0
%
)
&
'
98
& )
.
) Delft University of
Technology, Faculty of Architecture, The Netherlands, 29. March> 01 April 2006.
Zeynep Mennan. “From Number to Meaning: Prospects for a Quantitative Hermeneutics at
Istiklal”, in Korkmaz, Tansel (ed.), 2005.
,
9666
2
(Ankara: Chamber of Architects of Turkey) pp. 121>132.
Mennan, Zeynep. “Non > Standard Mimarlıklar: Bir Serginin Ardından.”
pp.37>41.
F,. No:.321
Mina, Andrea. “Modeling Architectural Form.” Homo Faber: Modeling Architecture Exhibition,
Melbourne: RMIT School of Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
pp.39>41.
Mitchell, William J. “Articulate Design of Free>Form Structures.”
%
)&
Ed. Ian Smith. Berlin: Springer Verlag, 1998. pp.223>4.
)
Mitchell, William J. “The Poetics of Virtuality.”
3
Beckmann. New York: Princeton Architectural Press, 1998. pp.205>17.
)
Edited by John
Mitchell, William J. “Design Worlds and Fabrication Machines,” in
Edited by Branko Kolarevic. New York: Taylor and Francis,
2003.
Mitchell, William J. “Roll Over Euclid: How Frank Gehry Designs and Builds,”
,
Edited by Fiona Ragheb.New York: Guggenheim Museum Publications, 2001
Morris, Mark.
Academy, 2006.
)
Chichester, West Sussex: Wiley
Morrison, Tessa and Michael J. Ostwald. “Shifting Dimensions: The Architectural Model in
History.” Homo Faber: Modeling Architecture Exhibition, Melbourne: RMIT School of
Architecture and Design, May 2006. Ed. Brenda Marshall. #
/
&
p. 102>12.
Negroponte, Nicholas.
Cambridge, MA: The MIT Press, 1973.
Newell, J. Allen and C. Shaw and Herbert A. Simon. “Elements of a Theory of Human Problem
Solving.” 2
+ . $ 65.3 (1958): 151>166.
“Non>Euclidean Geometry.” Reached at:
http://mathworld.wolfram.com/Non>EuclideanGeometry.html(Last accessed on 29.05.2008.)
Novitski, B. J. “Discourse on Digital,” in Architecture Week, Design Tools. Reached at:
http://www.architectureweek.com/2003/1119/tools_1>1.html (Last accessed on 29.05.2008.)
O’Shea, Anthony. “The (r)evolution of New Product Innovation.” '
25.
“Parametric Bridge: Selfridges Footbridge, Birmingham, UK.”
http://www.sial.rmit.edu.au/Projects/Parametric_Bridge.php
(Last accessed on 29.05.2008.)
99
(
9:1 (2002): 113>
Piegl, Les and Wayne Tiller.
*+"% "
, Berlin: Springer, 1997.
Pittman, John. “Chapter 18: Building Information Modeling: Current Challenges and Future
Directions.”
Edited by Branko
Kolarevic. New York: Taylor and Francis, 2003. pp.254>8.
Porter, Tom and John Neale.
Architectural Press, 2000.
% -
2
%
Oxford:
“Prouns.” Reached at: http://lava.ds.arch.tue.nl/modelshop/lissitzk/prouns_r/ (Last accessed on
04.07.2008.)
Puglisi, Luigi Prestinenza. # 1999.
Basel: Birkhauser ,
%-
Rahim, Ali. “Systematic Delay: Breaking the Mold.”
Academy Editions: London, 70 3 (2000): 6>8.
&
-
2
Rotherou, Kevin. “A Vision for Parametric Design.”
http://www.architectureweek.com/2002/0710/tools_1>2.html
(Last accessed on 29.05.2008.)
Rowe, Peter G.
,
Cambridge, MA: The MIT Press, 1986.
R&Sie... architects. Corrupted Biotopes. Design Document Series_05. Korea: DAMDI, 2005.
Sanders, Irine and Judith McCabe. “The Use of Complexity Science,” October 2003.
Reached at: http://www.hcs.ucla.edu/DoEreport.pdf
(Last accessed on 13.06.2008.)
Sass, Larry. “Towards a Design Science of Design and Fabrication and with Rapid Prototyping.”
-)
)
p.1.
http://ddf.mit.edu/papers/index.html
(Last accessed on 01.06.2008.)
Sass, Lawrence and Marcel Botha. “The Instant House: A Production System for Construction
with Digital Fabrication.”
-)
)
http://ddf.mit.edu/papers/index.html
(Last accessed on 01.06.2008.)
Schuring, Dieterich J.. %
Elmsford, NY: Pergamon Press, 1977.
Seely, Jennifer C.K. “Digital Fabrication in the Architectural Design Process.” Master Thesis.
%
%
2004.
http://ocw.mit.edu/NR/rdonlyres/Architecture/4>510Fall>2005/D031955D>02AA>4AC8>8786>
6D7C8DFFBA17/0/seelythesis.pdf
(Last accessed on 01.06.2008.)
Simon, Herbert A.
Press, 1996 [1968].
(Third Edition.) Cambridge, MA: The MIT
%
100
Spuybroek, Lars. “Graphs. The Sloughing of the Paradigm,” in
+
/Edited by: Frédéric Migayrou and Marie>Ange Brayer. New York :
Thames & Hudson, 2001.
Stephen Linstead. “Organization as Reply: Henri Bergson and Causal Organization Theory.”
'
(
9:1 (2002): 95 – 111.
Sthyre, Alexander. “Knowledge as a Virtual Asset: Bergson's Notion of Virtuality and
Organizational Knowledge,” &
'
(
9.1 (2003): 15 – 26.
“Temple Expiatori Sagrada Familia.” Reached at: http://www.sagradafamilia.org (Last accessed
on 20.05.2008.)
Terzidis, Kostas. /Routledge, 2003. p.65.
.
&
-
--
&
London:
-
Todd Rasmussen.
[Course Notes]. Retrieved March 30, 2008, from the Course’s
Website:
http://www.hydrology.uga.edu/rasmussen/class/8740/Chap3.pdf. (Last accessed on 15.05. 2008.)
“Topology.” Reached at: http://mathworld.wolfram.com/Topology.html (Last accessed on
29.05.2008.)
!
5
Springfield, MA: C. G. Meriam Co., 1967.
$
Van Berkel, Ben and Caroline Bos. “Diagrams, Interactive Operation in Operation.”
(1998): 19>23.
Van Berkel, Ben and Caroline Bos. * %
)
New York: Thames & Hudson, 2006.
Vidler, Anthony. “Introduction.” 05
&
) *
0
23
)
/) Paris: Lenoir, 1983.
Ward, Anthony. “Introduction.”
Eds. Geoffrey Broadbent and
Anthony Ward. London: Lund Humphries, 1969.
“What is topology?” Reached at: http://neil>strickland.staff.shef.ac.uk/Wurble.html (Last
accessed on 29.05.2008.)
Wilkinson, Catherine. “The New Professionalism in the Renaissance.”
& #
2
Ed. Spiro Kostof, New York: Oxford University Press, 1977.
Zaera, Alejandro. “Frank O. Gehry,”
& ;
74>75, 1991>1995.
“3D Laser Scanning.” Reached at: http://www.3dlaserscanning.org/ (Last accessed on
01.06.2008.)
101