Small spinoditetrahedronary disprismatohecatonicosachoron
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| Small spinoditetrahedronary disprismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sandit diphi |
| Elements | |
| Cells | 120 gidtid, 720 pip, 1200 trip |
| Faces | 2400 triangles, 3600 squares, 1440 pentagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gand tadiphi |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 2400 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small spinoditetrahedronary disprismatohecatonicosachoron, or sandit diphi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 720 pentagonal prisms, and 1200 triangular prisms. Four great ditrigonary icosidodecahedra, twelve pentagonal prisms, and twelve triangular prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#786).
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