The 8 concentric projected 3D hulls from the vertices of the 4_21 polytope (using the split real even E8 roots) and a projection basis from 3 of the 4 rows of the E8 to the H4+H4 Phi folding matrix produce from inner to outer (sorted by vertex Norm):
- 4 Points at the origin
- 2 Icosahedron
- 2 Dodecaheron
- 4 Icosahedron
- 1 Icosadodecahedron
- 2 Dodecaheron
- 2 Icosahedron
- 1 Icosadodecahedron
Projection Basis:
Looking at it as an orthonormal 3D projection of 2 600-cells (from the fully folded E8 to H4+H4 Phi), which is the same (as it should be), but rotated.
Here is just one 600-cell (interior).
Here is E7 doing the same procedure:
And again for E6
Wow – that is nice! Remember, you heard it here first!
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