Description3 21 E7 to 3D H3 symmetry concentric hulls.png
English: The E7 3_21 polytope is projected to 3D using 3 rows of the E8 to H4 folding matrix giving H3 symmetry. The vertices are sorted and tallied by their 3D norm. Generating the increasingly transparent hull of each set of tallied norms shows:
1) 2 points at the origin
2) 2 icosahedrons
3) 1 icosadodecahedron
4) 2 dodecahedrons
5) 1 icosadodecahedron
for a total of 126 vertices.
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