Grand rhombic hecatonicosihecatonicosachoron
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| Grand rhombic hecatonicosihecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Garhihy |
| Elements | |
| Cells | 120 small rhombidodecahedra, 120 quasitruncated dodecadodecahedra |
| Faces | 3600 squares, 1440 decagons, 720 decagrams |
| Edges | 3600+7200 |
| Vertices | 3600 |
| Vertex figure | Crossed butterfly wedge, edge lengths √2 (4), √(5+√5)/2 (4) and √(5–√5)/2 (2) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Sird–10–quitdid: 144° |
| Quitdid–10/3–quitdid: 108° | |
| Sird–4–quitdid: 90° | |
| Related polytopes | |
| Army | Semi-uniform srix |
| Regiment | Sraghi |
| Conjugate | Grand quasirhombic hecatonicosihecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –1680 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The grand rhombic hecatonicosihecatonicosachoron, or garhihy, is a nonconvex uniform polychoron that consists of 120 small rhombidodecahedra and 120 quasitruncated dodecadodecahedra. Two small rhombidodecahedra and four quasitruncated dodecadodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated grand hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#197).