File:F4Coxeter.svg

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Original file(SVG file, nominally 599 × 599 pixels, file size: 13 KB)

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Summary[edit]

Description
English: F4 as a subgroup of E8 projected into the Coxeter plane/

Detail Description: The 48 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). The blue center represents the 24 overlapping vertices. The 126 edges of length sqrt(2)are color-coded based on projected vertex positions.
This is constructed from VisibLie_E8 found on TheoryOfEverything.org 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], 126};
vOverlapColor=True;
pListName="F4";

};new;
Date
Source Own work
Author Jgmoxness
SVG development
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The SVG code is valid.
 
This diagram was created with a text editor.
 
Please do not replace the simplified code of this file with a version created with Inkscape or any other vector graphics editor

Licensing[edit]

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
current00:00, 26 November 2021Thumbnail for version as of 00:00, 26 November 2021599 × 599 (13 KB)Puck04 (talk | contribs)fixed SVG code (was "W3C-invalid") + cleanup using text editor
14:16, 15 February 2010Thumbnail for version as of 14:16, 15 February 2010599 × 599 (115 KB)Jgmoxness (talk | contribs)again w/proper vertex colors
14:12, 15 February 2010Thumbnail for version as of 14:12, 15 February 2010597 × 597 (115 KB)Jgmoxness (talk | contribs)error corrected
16:19, 13 February 2010Thumbnail for version as of 16:19, 13 February 2010551 × 551 (114 KB)Jgmoxness (talk | contribs)vertex and edges colors
16:00, 13 February 2010Thumbnail for version as of 16:00, 13 February 2010551 × 551 (130 KB)Jgmoxness (talk | contribs){{Information |Description={{en|1=F4 as a subgroup of E6,E7 and E8 projected into the Coxeter plane/}} |Source={{own}} |Author=Jgmoxness |Date= |Permission= |other_versions= }}

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