Small ditetrahedronary prismatohexacosihecatonicosachoron
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| Small ditetrahedronary prismatohexacosihecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Siddit paxhi |
| Elements | |
| Cells | 600 tet, 720 pip, 120 srid |
| Faces | 2400 triangles, 3600 squares, 1440 pentagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1309680 |
| Level of complexity | 2717 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gardtapaxhi |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 3000 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The small ditetrahedronary prismatohexacosihecatonicosachoron, or siddit paxhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 720 pentagonal prisms, and 120 small rhombicosidodecahedra. Four tetrahedra, twelve pentagonal prisms, and twelve small rhombicosidodecahedra 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" (#793).
- Klitzing, Richard. "siddit paxhi".
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