Grand dishecatonicosacoincidic hecatonicosachoron
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| Grand dishecatonicosacoincidic hecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gad hichi |
| Elements | |
| Cells | 120 great icosahedra 120 small stellated dodecahedra 120 great dodecicosidodecahedra |
| Faces | 2400 triangles 1440 pentagrams 720 decagrams |
| Edges | 3600 |
| Vertices | 720 |
| Vertex figure | Faceting of pentagonal prism |
| Edge figure | gike.gaddid.gaddid.sissid.gaddid.gaddid |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | |
| Related polytopes | |
| Army | Rox |
| Regiment | Rigfix |
| Conjugate | Small retroinverted dishecatonicosacoincidic hecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Exotic |
The grand dishecatonicosacoincidic hecatonicosachoron is an ECC uniform polychoron that consists of 120 great icosahedra, 120 small stellated dodecahedra, and 120 great dodecicosidodecahedra. 2 great icosahedra, 2 small stellated dodecahedra, and 10 great dodecicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified great faceted hexacosichoron.