Small dipentary hecatonicosiprismatodishecatonicosachoron
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| Small dipentary hecatonicosiprismatodishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sidphipdy |
| Elements | |
| Cells | 120 ike, 1200 trip, 120 ri, 120 siddy |
| Faces | 2400 triangles, 3600 squares, 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 hecatonicosiprismatodishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 172800 |
| Euler characteristic | 1800 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small dipentary hecatonicosiprismatodishecatonicosachoron, or sidphipdy, is a nonconvex uniform polychoron that consists of 120 icosahedra, 1200 triangular prisms, 120 rhombicosahedra, and 120 small dodecicosahedra. One icosahedron, five triangular prisms, five rhombicosahedra, 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" (#1025).
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