Small diretrosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron
Small diretrosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sadersosposid stuxphi |
Elements | |
Cells | 600 great icosahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra |
Faces | 38400 triangles, 18000 squares, 7200 pentagons, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 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 | Gadersosposid stuxphi |
Abstract & topological properties | |
Euler characteristic | 27000 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small diretrosnub snub prismatosnubdisnub tetrishexacosipentishecatonicosachoron, or sadersosposid stuxphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 icosidodecadodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).
One great icosahedron, one icosahedron and one great dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five pentagrammic prisms, five triangular 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 disprismatotrishecatonicosihexacosichora.
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" (#1543).
This article is a stub. You can help Polytope Wiki by expanding it. |