Great intercepted invertipental trishecatonicosachoron
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Great intercepted invertipental trishecatonicosachoron | |
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![]() | |
Rank | 4 |
Type | Uniform |
Space | Spherical |
Notation | |
Bowers style acronym | Ganipathi |
Elements | |
Cells | 120 gike, 120 gaddid, 120 gid |
Faces | 3600 triangles, 1440 pentagrams, 720 decagrams |
Edges | 3600 |
Vertices | 720 |
Measures (edge length 1) | |
Circumradius | |
Number of external pieces | 98640 |
Level of complexity | 226 |
Related polytopes | |
Army | Rox |
Regiment | Rigfix |
Conjugate | Smiffipathi |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 2520 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great intercepted invertipental trishecatonicosachoron, or ganipathi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 great dodecicosidodecahedra, and 120 great icosidodecahedra. Two great icosahedra, ten great dodecicosidodecahedra, and five great icosidodecahedra join at each vertex.
It is superficially identical to the great invertipental trishecatonicosachoron, differing only internally.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#127).
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