Small tritrigonary disprismatohecatonicosidishexacosichoron
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| Small tritrigonary disprismatohecatonicosidishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Stutted phiddix |
| Elements | |
| Cells | 600 tet, 120 tid, 600 oho, 1200 hip, 720 dip |
| Faces | 4800 triangles, 7200 squares, 2400 hexagons, 1440 decagons |
| Edges | 3600+7200 |
| Vertices | 2400 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Sidpixhi |
| Regiment | Stut phiddix |
| Conjugate | Getitid phiddix |
| Abstract & topological properties | |
| Euler characteristic | 4200 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small tritrigonary disprismatohecatonicosidishexacosichoron, or stutted phiddix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 truncated dodecahedra, 600 octahemioctahedra, 1200 hexagonal prisms, and 720 decagonal prisms. One tetrahedron, three truncated dodecahedra, three octahemioctahedra, six hexagonal prisms, and six decagonal prisms join at each vertex.
It also has compound of five cubes as pseudofacets.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 24: Stut Phiddix Regiment" (#1370).
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