Small dipentary hecatonicosihecatonicosihexacosichoron
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| Small dipentary hecatonicosihecatonicosihexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sidphihix |
| Elements | |
| Cells | 120 gike, 600 tut, 120 siddy |
| Faces | 2400 triangles, 2400 hexagons, 720 decagons |
| Edges | 3600+3600 |
| Vertices | 1440 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Tex |
| Regiment | Padohi |
| Conjugate | Great dipentary hecatonicosihecatonicosihexacosichoron |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | –1080 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The small dipentary hecatonicosihecatonicosihexacosichoron, or sidphihix, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 600 truncated tetrahedra, and 120 small dodecicosahedra. One great icosahedron, five truncated tetrahedra, and five small dodecicosahedra 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" (#1010).
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