Small tritrigonary hexacosidishecatonicosiprismatohexacosichoron
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Small tritrigonary hexacosidishecatonicosiprismatohexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stut xidhipix |
Elements | |
Cells | 600 tet, 120 tid, 600 co, 1200 hip, 120 grid |
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 | Getit xidhipix |
Abstract & topological properties | |
Euler characteristic | 4800 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small tritrigonary hexacosidishecatonicosiprismatohexacosichoron, or stut xidhipix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 truncated dodecahedra, 600 cuboctahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. One tetrahedron, three truncated dodecahedra, three cuboctahedra, six hexagonal prisms, and six great rhombicosidodecahedra 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" (#1368).
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