Small ditrigonary dishexacosicubidishecatonicosachoron
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Small ditrigonary dishexacosicubidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sidtid xacady |
Elements | |
Cells | 120 compound of five cubes, 120 great icosidodecahedra, 600 octahedra, 120 small icosicosidodecahedra, 600 cubohemioctahedra |
Faces | 4800 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Gidtid xacady |
Abstract & topological properties | |
Euler characteristic | 4200 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small ditrigonary dishexacosicubidishecatonicosachoron, or sidtid xacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplane, forming 120 compound of five cubes), 120 great icosidodecahedra, 600 octahedra, 120 small icosicosidodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), three great icosidodecahedra, three octahedra, six small icosicosidodecahedra, and six cubohemioctahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1241).
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