Great tritrigonary prismatohexacosicubitrishecatonicosachoron
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Great tritrigonary prismatohexacosicubitrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Getit pixacthi |
Elements | |
Cells | 120 compound of five cubes, 600 tetrahedra, 120 truncated great icosahedra, 120 great dodecicosahedra, 120 quasirhombicosidodecahedra, 720 decagrammic prisms |
Faces | 2400 triangles, 7200 squares, 1440 pentagrams, 2400 hexagons, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 2400 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Sidpixhi |
Regiment | Getit xethi |
Conjugate | Stut pixacthi |
Abstract & topological properties | |
Euler characteristic | 4200 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great tritrigonary prismatohexacosicubitrishecatonicosachoron, or getit pixacthi, 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 great icosahedra, 120 great dodecicosahedra, 120 quasirhombicosidodecahedra, and 720 decagrammic prisms. Two cubes (one compound), one tetrahedron, three truncated great icosahedra, three great dodecicosahedra, three quasirhombicosidodecahedra, and six decagrammic prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 25: Getit Xethi Regiment" (#1432).
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