Jump to content

File:F4Coxeter.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

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

Summary

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
InfoField
 
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

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.
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.
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.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

13 February 2010

media type

image/svg+xml

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current00:00, 26 November 2021Thumbnail for version as of 00:00, 26 November 2021599 × 599 (13 KB)Puck04fixed 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)Jgmoxnessagain w/proper vertex colors
14:12, 15 February 2010Thumbnail for version as of 14:12, 15 February 2010597 × 597 (115 KB)Jgmoxnesserror corrected
16:19, 13 February 2010Thumbnail for version as of 16:19, 13 February 2010551 × 551 (114 KB)Jgmoxnessvertex and edges colors
16:00, 13 February 2010Thumbnail for version as of 16:00, 13 February 2010551 × 551 (130 KB)Jgmoxness{{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= }}

The following 2 pages use this file:

Global file usage

The following other wikis use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikipedia.org/wiki/File:F4Coxeter.svg"