File:Ho-Mg-Zn E8-5Cube.jpg

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Summary

Description
English: This is an image of the electron diffraction pattern of an icosahedral Zn-Mg-Ho QuasiCrystal with an overlay of a 5-Cube projection from the 240 vertices of the split real even E8 Lie Group.

The basis vectors for the E8 projection are shown (1:1 with the ring of gray vertices with the last 3 of 8 dimensions 0). There are 2480 overlapping edge lines from the 240 E8 vertices. They have norm’d unit length calculated from the 5 non-zero projected dimensions of E8. Of these, 32 inner vertices and 80 edges belong to the 5D 5-Cube (Penteract) proper. Edges are shown with colors assigned based on origin vertex distance from the outer perimeter. The vertex colors of the 5-Cube projection represent E8 vertex overlaps. These are:

InView vertices=(color{overlap,count},…)Total
(LightGreen{1,20},Pink{5,20},Gray{10,10},Orange{20,1})51

All vertices=(color{overlap,count},…)Total

(LightGreen{1,20},Pink{5,100},Gray{10,100},Orange{20,20})240
Date
Source Own work
Author Jgmoxness

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1 January 2012

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Date/TimeThumbnailDimensionsUserComment
current17:00, 1 January 2012Thumbnail for version as of 17:00, 1 January 20121,800 × 1,800 (435 KB)Jgmoxness

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