File:8-cubePascal.svg
Original file (SVG file, nominally 970 × 850 pixels, file size: 289 KB)
Captions
Captions
Summary
[edit]
| Description |
English: 8-Cube in column projection showing Pascal Triangle vertex counts in each column. Vertex colors are colored based on overlaps (if any). Edges are colored based on vertex positions. Axes dimensions are shown. Note: not all edges are displayed and 2 Pascal columns are missing - this is due to it not being a proper subgroup of E8.(all my images attempt to be derived from E8 generators). |
| Source | Own work |
| Author | Jgmoxness |
Vertex overlaps colors:
vertices={color=overlap,count},...,Total}
{{LightYellow=1,20},{Yellow=2,20},{DarkYellow=4,40},{LightOrange=6,60},{Orange=8,24},{DarkOrange=9,18},{LightGreen=10,20},{Green=13,26},{DarkGreen=14,28}},256}
vertices InView={{overlap,count},...,Total}
{{1,20},{2,10},{4,10},{6,10},{8,3},{9,2},{10,2},{13,2},{14,2}},61}
Detail Description:
Source: Generated from *e8Flyer.nb with the following settings:
(* This is an auto generated list from e8Flyer.nb *)
new := {
scale=0.06;
cylR=0.021;
showEdges=True;
eGrad=0;
edgeVal={1, 128};
vOverlapColor=True;
pListName="All";
newPTcd={
{1/(2*Sqrt[2]), 1/(2*Sqrt[2]), 1/(2*Sqrt[2]), 1/(2*Sqrt[2]), 1/(2*Sqrt[2]), 1/(2*Sqrt[2]), 1/(2*Sqrt[2]), 1/(2*Sqrt[2])},
{-Sqrt[7/6]/2, -5/(2*Sqrt[42]), -Sqrt[3/14]/2, -1/(2*Sqrt[42]), 1/(2*Sqrt[42]), Sqrt[3/14]/2, 5/(2*Sqrt[42]), Sqrt[7/6]/2},
{-Sqrt[7/6]/2, -5/(2*Sqrt[42]), -Sqrt[3/14]/2, -1/(2*Sqrt[42]), 1/(2*Sqrt[42]), Sqrt[3/14]/2, 5/(2*Sqrt[42]), Sqrt[7/6]/2}};new;
Licensing
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- 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
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:36, 5 March 2010 | | 970 × 850 (289 KB) | Jgmoxness (talk | contribs) | vertex/edge sizes |
| 17:23, 5 March 2010 |  | 615 × 539 (290 KB) | Jgmoxness (talk | contribs) | {{Information |Description={{en|1=8-Cube in column projection showing Pasacl Triangle vertex counts in each column. Vertex colors are colored based on overlaps (if any). Edges are colored based on vertex positions. Axes dimensions are shown. Note: not all |
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