Small dipentary trishecatonicosidishecatonicosachoron
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Small dipentary trishecatonicosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sidpathidy |
Elements | |
Cells | 120 gike, 120 gad, 120 ri, 120 siddy, 120 srid |
Faces | 2400 triangles, 3600 squares, 1440 pentagons, 2400 hexagons, 720 decagons |
Edges | 3600+3600 |
Vertices | 1440 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Tex |
Regiment | Padohi |
Conjugate | Great dipentary trishecatonicosidishecatonicosachoron |
Abstract & topological properties | |
Flag count | 201600 |
Euler characteristic | 4200 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small dipentary trishecatonicosidishecatonicosachoron, or sidpathidy, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 great dodecahedra, 120 rhombicosahedra, 120 small dodecicosahedra, and 120 small rhombicosidodecahedra. One great icosahedron, one great dodecahedron, five rhombicosahedra, five small dodecicosahedra, and five small rhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 21: Padohi Regiment" (#1054).
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