Small ditetrahedronary prismatohecatonicosihexacosichoron
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| Small ditetrahedronary prismatohecatonicosihexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sadtaphix |
| Elements | |
| Cells | 600 tet, 1200 trip, 120 sird |
| Faces | 2400 triangles, 3600 squares, 720 decagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 540600 |
| Level of complexity | 1207 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gadtaphix |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 1800 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small ditetrahedronary prismatohecatonicosihexacosichoron, or sadtaphix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 1200 triangular prisms, and 120 small rhombidodecahedra. Four tetrahedra, twelve triangular prisms, and twelve small rhombidodecahedra 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" (#805).
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