File:E6Coxeter.svg
Original file (SVG file, nominally 599 × 599 pixels, file size: 214 KB)
Captions
Captions
Summary
[edit]
| Description | E6 subgroup of E8 consisting of 72 of the 78 (minus 6 Cartan) generators. |
| Source | Own work |
| Author | Jgmoxness |
Detail Description:
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). The vertex colors are based on overlaps - the 2 (green) rings of 12 have 2 overlaping vertices. The 800 edges are color-coded based on projected vertex positions.
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], 800};
vOverlapColor=True;
pListName="E6";
};new;
Licensing
[edit]
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
|
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. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:43, 12 February 2010 | | 599 × 599 (214 KB) | Jgmoxness (talk | contribs) | again |
| 22:41, 12 February 2010 | No thumbnail | (207 bytes) | Jgmoxness (talk | contribs) | vertex and edge colors | |
| 18:26, 12 February 2010 |  | 590 × 590 (1.57 MB) | Jgmoxness (talk | contribs) | {{Information |Description={{en|1=E6 projected into the 2D Coxeter plane using projection vectors of x=(-a,0,1,1,0,0,0,0),y=(0,a,-1,1,0,0,0,0) where a=3/Sqrt(2)*Sin(Pi/9)}} |Source={{own}} |Author=Jgmoxness |Date= |Permission= |other_ve |
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File usage on Commons
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File usage on other wikis
The following other wikis use this file:
- Usage on el.wikipedia.org
- Usage on en.wikipedia.org
- Usage on en.wikiversity.org
- Usage on ja.wikipedia.org
