Small dipentary hexacosihecatonicosihexacositrishecatonicosachoron
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| Small dipentary hexacosihecatonicosihexacositrishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sidpixhixthi |
| Elements | |
| Cells | 120 sissid, 120 ike, 600 co, 120 raded, 600 tut, 120 ti |
| Faces | 4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |
| Edges | 3600+3600 |
| Vertices | 1440 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Tex |
| Regiment | Padohi |
| Conjugate | Great dipentary hexacosihecatonicosihexacositrishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 230400 |
| Euler characteristic | 6240 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small dipentary hexacosihecatonicosihexacositrishecatonicosachoron, or sidpixhixthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, 600 truncated tetrahedra, and 120 truncated icosahedra. One small stellated dodecahedron, one icosahedron, five cuboctahedra, five rhombidodecadodecahedra, five truncated tetrahedra, and five truncated icosahedra 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" (#992).
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