Great dipentary hecatonicosihexacosidishecatonicosihexacosichoron
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Great dipentary hecatonicosihexacosidishecatonicosihexacosichoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidphixdahix |
Elements | |
Cells | 120 sissid, 600 tut, 600 co, 120 raded, 120 giid |
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 | Gidipthi |
Conjugate | Small dipentary hecatonicosihexacosidishecatonicosihexacosichoron |
Abstract & topological properties | |
Flag count | 230400 |
Euler characteristic | 6360 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great dipentary hecatonicosihexacosidishecatonicosihexacosichoron, or gidphixdahix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 truncated tetrahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, and 120 great icosicosidodecahedra. One small stellated dodecahedron, five truncated tetrahedra, five cuboctahedra, five rhombidodecadodecahedra, and five great icosicosidodecahedra 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" (#1125).
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