Small tritrigonary disprismatohexacosicubidishecatonicosachoron
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Small tritrigonary disprismatohexacosicubidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stut dopixacady |
Elements | |
Cells | 120 compound of five cubes, 720 pentagrammic prisms, 120 truncated dodecahedra, 600 octahemioctahedra, 120 small ditrigonal dodecicosidodecahedra, 1200 hexagonal prisms |
Faces | 4800 triangles, 7200 squares, 1440 pentagrams, 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 dopixacady |
Abstract & topological properties | |
Euler characteristic | 5520 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small tritrigonary disprismatohexacosicubidishecatonicosachoron, or stut dopixacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 720 pentagrammic prisms, 120 truncated dodecahedra, 600 octahemioctahedra, 120 small ditrigonal dodecicosidodecahedra, and 1200 hexagonal prisms. Two cubes (one compound), three pentagrammic prisms, three truncated dodecahedra, three octahemioctahedra, three small ditrigonal dodecicosidodecahedra, and six hexagonal prisms 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" (#1359).
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