Small diretrosnub snub prismatosnub tetrishexacosipentishecatonicosachoron
| Small diretrosnub snub prismatosnub tetrishexacosipentishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sadersospistuxphi |
| Elements | |
| Cells | 600 icosahedra, 2400 compound of two octahemioctahedra, 600 truncated icosahedra, 600 small rhombicosidodecahedra, 600 small ditrigonal dodecicosidodecahedra, 3600 pentagrammic prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
| Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 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 | Gadersospistuxphi |
| Abstract & topological properties | |
| Euler characteristic | 36600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small diretrosnub snub prismatosnub tetrishexacosipentishecatonicosachoron, or sadersospistuxphi, is a nonconvex uniform polychoron that consists of 600 icosahedra, 4800 octahemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of two), 600 truncated icosahedra, 600 small rhombicosidodecahedra, 600 small ditrigonal dodecicosidodecahedra, 3600 pentagrammic prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One icosahedron, eight octahemioctahedra (eight compounds), five truncated icosahedra, five small rhombicosidodecahedra, five small ditrigonal dodecicosidodecahedra, five pentagrammic prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.
It can be obtained as the blend of 5 small dipentary hecatonicosidishexacosichora and 5 small dipentary prismatodishecatonicosihecatonicosihexacosichora.
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" (#1540).
 | This article is a stub. You can help Polytope Wiki by expanding it. |