Great ditrigonary hecatonicosicubihexacosichoron
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| Great ditrigonary hecatonicosicubihexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gidthicax |
| Elements | |
| Cells | 120 compounds of five cubes, 120 great dodecicosahedra, 600 cubohemioctahedra |
| Faces | 3600 squares, 2400 hexagons, 720 decagrams |
| Edges | 7200 |
| Vertices | 1200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Rahi |
| Regiment | Rissidtixhi |
| Conjugate | Sidthicax |
| Abstract & topological properties | |
| Euler characteristic | –600 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The great ditrigonary hecatonicosicubihexacosichoron, or gidthicax, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compound of five cubes), 120 great dodecicosahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six great dodecicosahedra, and six cubohemioctahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1240).
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