File:E8-6Cube.jpg

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Summary

Description
English: 240 E8 vertices with 1440 overlapping 6-Cube (6D) unit edges and Golden Ratio basis vectors orthographically projected to 3D.

The specific basis vectors are:
x = {1, [Phi], 0, -1, [Phi], 0, 0, 0}
y = {[Phi], 0, 1, [Phi], 0, -1, 0, 0}
z = {0, 1, [Phi], 0, -1, [Phi], 0, 0}

The edges have norm’d unit length calculated from the 6 non-zero projected dimensions of E8. Of these, 192 vertices and 64 edges belong to the 6D 6-Cube (Hexeract) proper. Edges are shown with colors assigned based on origin vertex distance from the outer perimeter. The vertex colors of the 6-Cube projection represent E8 vertex overlaps.
Date
Source Own work
Author Jgmoxness
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Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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Under the following conditions:
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depicts

30 December 2011

File history

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Date/TimeThumbnailDimensionsUserComment
current17:06, 1 January 2012Thumbnail for version as of 17:06, 1 January 20121,800 × 1,800 (745 KB)Jgmoxnesslower res
22:32, 30 December 2011Thumbnail for version as of 22:32, 30 December 20115,120 × 3,640 (2.3 MB)Jgmoxness
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