Grand retropental hecatonicosachoron
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| Grand retropental hecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Graphi |
| Elements | |
| Cells | 120 great rhombidodecahedra |
| Faces | 1800 squares, 720 decagrams |
| Edges | 3600 |
| Vertices | 720 |
| Vertex figure | Pentagonal stephanoid |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 189600 |
| Level of complexity | 462 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rigfix |
| Conjugate | Small retropental hecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –480 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The grand retropental hecatonicosachoron, or graphi, is a nonconvex noble uniform polychoron that consists of 120 great rhombidodecahedra. Ten great rhombidodecahedra join at each vertex.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#124).
- Klitzing, Richard. "graphi".
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