File:E8Coxeter.svg

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Original file (SVG file, nominally 512 × 512 pixels, file size: 215 KB)

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Summary

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Description
English: E8 consisting of 240 vertices.
Source Own work
Author Jgmoxness

Detail Description: The 6720 (shortest) edges of 8D Length Sqrt(2) are assigned color based on vertex position from the center. The vertex color is assigned based on overlap count (Yellow=1, Green=8, Blue=24). The vertices are projected into the 2D Coxeter plane using projection vectors of x=(-sqrt(3)+1,0,1,1,0,0,0,0),y=(0,sqrt(3)-1,-1,1,0,0,0,0).
This is constructed from VisibLie_E8 found on TheoryOfEverything.org archive copy at the Wayback Machine with the following settings:
(* This is an auto generated list from e8Flyer.nb *)
new := {
scale=0.04;
favorite=22;
showAxes=False;
showEdges=True;
eGrad=16;
edgeVal={Sqrt[2], 6720};
vOverlapColor=True;
};new;

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I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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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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Date/TimeThumbnailDimensionsUserComment
current09:06, 24 March 2022Thumbnail for version as of 09:06, 24 March 2022512 × 512 (215 KB)TSamuel (talk | contribs)Lossless recompression via SVGOMG & vecta.io/nano, & verified via SVGCheck
14:23, 13 February 2010Thumbnail for version as of 14:23, 13 February 2010599 × 599 (1.57 MB)Jgmoxness (talk | contribs){{Information |Description={{en|1=E8 consisting of 240 vertices. The 6720 (shortest) edges of 8D Length Sqrt(2) are assigned color based on vertex position from the center. The vertex color is assigned based on overlap count (Yellow=1, Green=8, Blue=24).}

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