Small dipentary hecatonicosihexacosidishecatonicosachoron
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| Small dipentary hecatonicosihexacosidishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sidphixady |
| Elements | |
| Cells | 120 gike, 120 ike, 600 co, 120 sird |
| Faces | 4800 triangles, 3600 squares, 720 decagons |
| Edges | 3600+3600 |
| Vertices | 1440 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Tex |
| Regiment | Padohi |
| Conjugate | Great dipentary hecatonicosihexacosidishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 144000 |
| Euler characteristic | 2400 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small dipentary hecatonicosihexacosidishecatonicosachoron, or sidphixady, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 600 cuboctahedra, and 120 small rhombidodecahedra. One great icosahedron, one icosahedron, five cuboctahedra, and five small rhombidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 21: Padohi Regiment" (#1046).
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