Small tritrigonary hexacosiprismatocubitrishecatonicosachoron
Jump to navigation
Jump to search
Small tritrigonary hexacosiprismatocubitrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stut xapacthi |
Elements | |
Cells | 120 compound of five cubes, 720 pentagrammic prisms, 120 truncated dodecahedra, 600 cuboctahedra, 120 small icosicosidodecahedra, 120 great rhombicosidodecahedra |
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 xapacthi |
Abstract & topological properties | |
Euler characteristic | 6600 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small tritrigonary hexacosiprismatocubitrishecatonicosachoron, or stut 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 pentagrammic prisms, 120 truncated dodecahedra, 600 cuboctahedra, 120 small icosicosidodecahedra, and 120 great rhombicosidodecahedra. Two cubes (one compound), three pentagrammic prisms, three truncated dodecahedra, three cuboctahedra, three small icosicosidodecahedra, and six great rhombicosidodecahedra 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" (#1364).
This article is a stub. You can help Polytope Wiki by expanding it. |