Small ditrigonary hexacosicubitrishecatonicosachoron
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Small ditrigonary hexacosicubitrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sidtoxicathi |
Elements | |
Cells | 120 compound of five cubes, 120 rhombidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, 600 cubohemioctahedra |
Faces | 2400 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Gidtoxicathi |
Abstract & topological properties | |
Euler characteristic | 6240 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small ditrigonary hexacosicubitrishecatonicosachoron, or sidtoxicathi, 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 rhombidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six rhombidodecadodecahedra, six great ditrigonal dodecicosidodecahedra, 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" (#1244).
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