Small tritrigonary prismatotrishecatonicosiprismatohexacosichoron
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Small tritrigonary prismatotrishecatonicosiprismatohexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stut pithipix |
Elements | |
Cells | 120 ditdid, 600 tet, 720 stip, 120 saddid, 1200 hip, 120 grid |
Faces | 2400 triangles, 7200 squares, 1440 pentagons, 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 pithipix |
Abstract & topological properties | |
Euler characteristic | 5040 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small tritrigonary prismatotrishecatonicosiprismatohexacosichoron, or stut pithipix, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 600 tetrahedra, 720 pentagrammic prisms, 120 small dodecicosidodecahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. One ditrigonary dodecadodecahedron, one tetrahedron, three pentagrammic prisms, three small dodecicosidodecahedra, 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" (#1375).
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