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:
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