Small ditetrahedronary disprismatohecatonicosachoron
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| Small ditetrahedronary disprismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sidtadphi |
| Elements | |
| Cells | 120 id, 720 pip, 1200 trip |
| Faces | 2400 triangles, 3600 squares, 1440 pentagons |
| Edges | 3600 |
| Vertices | 600 |
| Edge figure | (trip 4 pip 5 id 3 trip 4 pip 4 trip 3 id 5 pip 4) |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1357680 |
| Level of complexity | 2836 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gadtadaphi |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 2400 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The small ditetrahedronary disprismatohecatonicosachoron, or sidtadphi, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra, 720 pentagonal prisms, and 1200 triangular prisms. Six 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" (#785).
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