File:LisiE8strong.svg

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Original file (SVG file, nominally 639 × 598 pixels, file size: 212 KB)

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Description
English: E8 in F4 with Lisi particle assignments with basis vectors of (ωS,ωT,U,V,Iω,r,g,b). This shows the quarks in outer rings and force and leptons in the center. The blue lines represent 76x3 triality relationships embedded in E8. Interestingly, this projection is unique in that all triality relations result in equilateral triangles in a few related sizes. The E8 basis vectors that produce this projection are:

x=(2-4/√3, 0, 1-1/√3, 1-1/√3, 0, -1, 1, 0)
y=(0, -2+4/√3, -1+1/√3, 1-1/√3, 0, 1/√3, 1/√3, -2/√3)

There are overlaps with:
InView vertices=((overlap,count),...)Total
((1,120),(2,24),(3,24))168
All vertices=((overlap,count),...)Total
((1,120),(2,48),(3,72))240

This is constructed from VisibLie_E8 found on TheoryOfEverything.org
Source Own work
Author Jgmoxness
SVG development
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I, the copyright holder of this work, hereby publish it under the following licenses:
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GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
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File history

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Date/TimeThumbnailDimensionsUserComment
current03:05, 14 October 2014Thumbnail for version as of 03:05, 14 October 2014639 × 598 (212 KB)Wereldburger758 (talk | contribs)Valid SVG now.
00:37, 2 April 2011Thumbnail for version as of 00:37, 2 April 2011639 × 598 (230 KB)Jgmoxness (talk | contribs)more symmetric
00:01, 20 March 2011Thumbnail for version as of 00:01, 20 March 2011624 × 540 (229 KB)Jgmoxness (talk | contribs)more triality
17:20, 27 February 2011Thumbnail for version as of 17:20, 27 February 2011624 × 540 (223 KB)Jgmoxness (talk | contribs)added E8 basis vectors & finer triality lines
23:11, 21 November 2010Thumbnail for version as of 23:11, 21 November 2010619 × 580 (207 KB)Jgmoxness (talk | contribs)removed text
22:54, 21 November 2010Thumbnail for version as of 22:54, 21 November 2010643 × 600 (997 KB)Jgmoxness (talk | contribs){{Information |Description={{en|1=E8 in F4 with Lisi particle assignments. This shows the quarks in outer rings and force and leptons in the center.}} |Source={{own}} |Author=Jgmoxness |Date= |Permission= |other_versions= }} [[Category

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