Great dipentary hexacositrishecatonicosihexacosichoron
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| Great dipentary hexacositrishecatonicosihexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidpixthix |
| Elements | |
| Cells | 120 gad, 600 tut, 120 raded, 600 cho, 120 gaddid |
| Faces | 2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams |
| Edges | 3600+3600 |
| Vertices | 1440 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Semi-uniform Tex |
| Regiment | Gidipthi |
| Conjugate | Small dipentary hexacositrishecatonicosihexacosichoron |
| Abstract & topological properties | |
| Flag count | 230400 |
| Euler characteristic | 4680 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great dipentary hexacositrishecatonicosihexacosichoron, or gidpixthix, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 600 truncated tetrahedra, 120 rhombidodecadodecahedra, 600 cubohemioctahedra, and 120 great dodecicosidodecahedra. One great dodecahedron, five truncated tetrahedra, five rhombidodecadodecahedra, five cubohemioctahedra, and five great dodecicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1120).
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