Small ditetrahedronary prismatodishecatonicosihexacosichoron
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| Small ditetrahedronary prismatodishecatonicosihexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sadtipdohix |
| Elements | |
| Cells | 600 tet, 120 id, 720 pip, 120 sird |
| Faces | 2400 triangles, 3600 squares, 1440 pentagons, 720 decagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1273680 |
| Level of complexity | 2491 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gadtapdahix |
| Abstract & topological properties | |
| Flag count | 144000 |
| Euler characteristic | 3600 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small ditetrahedronary prismatodishecatonicosihexacosichoron, or sadtipdohix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 icosidodecahedra, 720 pentagonal prisms, and 120 small rhombidodecahedra. Four tetrahedra, six icosidodecahedra, twelve pentagonal 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" (#813).
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