Small tritrigonary dishexacosicubidishecatonicosachoron
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| Small tritrigonary dishexacosicubidishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Stut doxicady |
| Elements | |
| Cells | 120 compound of five cubes, 600 tetrahedra, 120 truncated dodecahedra, 600 octahemioctahedra, 120 great rhombicosidodecahedra |
| Faces | 4800 triangles, 3600 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 | Getit doxicady |
| Abstract & topological properties | |
| Euler characteristic | 1800 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small tritrigonary dishexacosicubidishecatonicosachoron, or stut doxicady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 600 tetrahedra, 120 truncated dodecahedra, 600 octahemioctahedra, and 120 great rhombicosidodecahedra. Two cubes (one compound), one tetrahedron, three truncated dodecahedra, three octahemioctahedra, and six great rhombicosidodecahedra join at each vertex.
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" (#1352).
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