Original file (2,700 × 2,700 pixels, file size: 1.39 MB, MIME type: image/png)
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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 |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:49, 29 December 2011 | | 2,700 × 2,700 (1.39 MB) | Jgmoxness |
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