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Original file (SVG file, nominally 512 × 424 pixels, file size: 6 KB)

Summary

Description
English: 3-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.
Source Own work
Author Jgmoxness

Source code

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=0.06;
cylR=0.021;
showEdges=True;
eGrad=0;
edgeVal={1, 12};
edgeDimTrim=3;
vOverlapColor=True;
pListName="C3=3Cube";
newPTcd={
{1/Sqrt[3], 1/Sqrt[3], 1/Sqrt[3], 0, 0, 0, 0, 0},
{-(1/Sqrt[2]), 0, 1/Sqrt[2], 0, 0, 0, 0, 0},
{-(1/Sqrt[2]), 0, 1/Sqrt[2], 0, 0, 0, 0, 0}};
};new;

Credit: User_talk:Tomruen for sharing basis vectors resulting in my code for n-cube Pascal projections:

doCubePascal@n_ := (
H = Normalize@Join[Array[1 &, n],Array[0 &, 8 - n]];
V = Normalize@Join[Table[i, {i, -(n - 1), n - 1, 2}],Array[0 &, 8 - n]];)

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
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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.

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5,742 byte

424 pixel

512 pixel

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Date/TimeThumbnailDimensionsUserComment
current04:34, 20 March 2022Thumbnail for version as of 04:34, 20 March 2022512 × 424 (6 KB)TSamuelLossless recompression via SVGOMG & vecta.io/nano, & verified via SVGCheck
16:38, 5 March 2010Thumbnail for version as of 16:38, 5 March 2010602 × 499 (36 KB)Jgmoxness{{Information |Description={{en|1=3-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.}} |Source={{o

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