Small dispinosnub snub trishexacosipentishecatonicosachoron
Small dispinosnub snub trishexacosipentishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sidansostixphi |
Elements | |
Cells | 600 great icosahedra, 2400 compound of two cubohemioctahedra, 600 small rhombidodecahedra, 600 rhombicosahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
Faces | 12000 triangles, 32400 squares, 19200 hexagons, 1200 compound of two hexagons, 3600 decagons |
Edges | 14400+2×21600 |
Vertices | 7200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Prahi |
Regiment | Sadros daskydox |
Conjugate | Gidansostixphi |
Abstract & topological properties | |
Euler characteristic | 9600 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small dispinosnub snub trishexacosipentishecatonicosachoron, or sidansostixphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 4800 cubohemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of two), 600 small rhombidodecahedra, 600 rhombicosahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron, eight cubohemioctahedra (eight compounds), five small rhombidodecahedra, five rhombicosahedra, and five truncated tetrahedra (one compound, four single) join at each vertex.
It can be obtained as the blend of 5 small dipentary hexacosihecatonicosachora and 5 small dipentary dishecatonicosidishexacosichora. In the process, some of the cubohemioctahedron cells blend out.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small diretrosnub disnub decahecatonicosadishexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 28: Idcossids" (#1571).
This article is a stub. You can help Polytope Wiki by expanding it. |