Great dipentary trishecatonicosihexacosihecatonicosachoron
Jump to navigation
Jump to search
| Great dipentary trishecatonicosihexacosihecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidpathixhi |
| Elements | |
| Cells | 120 gike, 120 tiggy, 600 co, 120 ri, 120 gaddid |
| Faces | 4800 triangles, 3600 squares, 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 trishecatonicosihexacosihecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 230400 |
| Euler characteristic | 6120 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great dipentary trishecatonicosihexacosihecatonicosachoron, or gidpathixhi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 truncated great icosahedra, 600 cuboctahedra, 120 rhombicosahedra, and 120 great dodecicosidodecahedra. One great icosahedron, five truncated great icosahedra, five cuboctahedra, five rhombicosahedra, 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" (#1119).
 | This article is a stub. You can help Polytope Wiki by expanding it. |