Great tritrigonary hexacosiprismatocubitrishecatonicosachoron
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Great tritrigonary hexacosiprismatocubitrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Getit xapacthi |
Elements | |
Cells | 120 compound of five cubes, 720 pentagonal prisms, 120 quasitruncated great stellated dodecahedra, 600 cuboctahedra, 120 great icosicosidodecahedra, 120 great quasitruncated icosidodecahedra |
Faces | 4800 triangles, 7200 squares, 1440 pentagons, 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 xapacthi |
Abstract & topological properties | |
Euler characteristic | 6600 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great tritrigonary hexacosiprismatocubitrishecatonicosachoron, or getit xapacthi, 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 pentagonal prisms, 120 quasitruncated great stellated dodecahedra, 600 cuboctahedra, 120 great icosicosidodecahedra, and 120 great quasitruncated icosidodecahedra. Two cubes (one compound), three pentagonal prisms, three quasitruncated great stellated dodecahedra, three cuboctahedra, three great icosicosidodecahedra, and six great quasitruncated icosidodecahedra 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" (#1440).
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