Grand rhombic small dishecatonicosachoron
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| Grand rhombic small dishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Garsady |
| Elements | |
| Cells | 120 rhombicosahedra, 120 great rhombicosidodecahedra |
| Faces | 3600 squares, 2400 hexagons, 720 decagons |
| Edges | 3600+7200 |
| Vertices | 3600 |
| Vertex figure | Crossed butterfly wedge, edge lengths √2 (4), √3 (4), and √(5+√5)/2 |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Ri–6–grid: 120° |
| Ri–4–grid: 90° | |
| Grid–10–grid: 36° | |
| Related polytopes | |
| Army | Semi-uniform xhi |
| Regiment | Sirsashi |
| Conjugate | Grand rhombic great dishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –720 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The grand rhombic small dishecatonicosachoron, or garsady, is a nonconvex uniform polychoron that consists of 120 rhombicosahedra and 120 great rhombicosidodecahedra. Two rhombicosahedra and four great rhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated small stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#183).