Great rhombic trishecatonicosachoron
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| Great rhombic trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Grithi |
| Elements | |
| Cells | 120 great rhombidodecahedra, 120 great rhombicosidodecahedra, 120 icosidodecatruncated icosidodecahedra |
| Faces | 3600 squares, 2400 hexagons, 1440 decagons, 1440 decagrams |
| Edges | 3600+7200+7200 |
| Vertices | 7200 |
| Vertex figure | Butterfly pyramid, base edge lengths √(5–√5)/2, √2, √(5–√5)/2, √2; lateral edge lengths √3, √3, √(5+√5)/2, √(5+√5)/2 |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Gird–10/3–idtid: 144° |
| Gird–4–grid: 90° | |
| Idtid–10–grid: 72° | |
| Idtid–6–grid: 60° | |
| Related polytopes | |
| Army | Semi-uniform Grix |
| Regiment | Hixtixhi |
| Conjugate | Small rhombic trishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –2280 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The great rhombic trishecatonicosachoron, or grithi, is a nonconvex uniform polychoron that consists of 120 great rhombidodecahedra, 120 icosidodecatruncated icosidodecahedra, and 120 great rhombicosidodecahedra. One great rhombidodecahedron, two icosidodecatruncated icosidodecahedra, and two great rhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the hecatonicosihexacositruncated hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#417).