Small retrospinosnub tetrishexacosichoron
Small retrospinosnub tetrishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sarnistux |
Elements | |
Cells | 600 icosahedra, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 truncated icosahedra, 600 small dodecicosidodecahedra, 600 rhombicosahedra |
Faces | 21600 triangles, 18000 squares, 7200 pentagons, 19200 hexagons, 1200 golden hexagrams, 3600 decagons, 1200 compound of two hexagons |
Edges | 14400+2×21600 |
Vertices | 7200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Prahi |
Regiment | Sadros daskydox |
Conjugate | Garnistux |
Abstract & topological properties | |
Euler characteristic | 16200 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small retrospinosnub tetrishexacosichoron, or sarnistux, is a nonconvex uniform polychoron that consists of 600 icosahedra, 2400 octahemioctahedra and 2400 cubohemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 600 truncated icosahedra, 600 small dodecicosidodecahedra, and 600 rhombicosahedra.
One icosahedron, four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), five truncated icosahedra, five small dodecicosidodecahedra, and five rhombicosahedra join at each vertex.
It can be obtained as the blend of 5 small invertidipentary hecatonicosihexacosidishecatonicosachora and 5 small dipentary hexacosihecatonicosachora. In the process, some of the octahemioctahedron and 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" (#1644).
This article is a stub. You can help Polytope Wiki by expanding it. |