Great dipentary trishecatonicosihecatonicosihexacosichoron
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| Great dipentary trishecatonicosihecatonicosihexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidpathihix |
| Elements | |
| Cells | 120 sissid, 120 ike, 600 oho, 120 ided, 120 gidditdid |
| Faces | 4800 triangles, 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 trishecatonicosihecatonicosihexacosichoron |
| Abstract & topological properties | |
| Flag count | 201600 |
| Euler characteristic | 3960 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great dipentary trishecatonicosihecatonicosihexacosichoron, or gidpathihix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 600 octahemioctahedra, 120 icosidodecadodecahedra, and 120 great ditrigonal dodecicosidodecahedra. One small stellated dodecahedron, one icosahedron, five octahemioctahedra, five icosidodecadodecahedra, and five great ditrigonal 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" (#1075).
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