Rhombic small hecatonicosihecatonicosachoron
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Rhombic small hecatonicosihecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Rashihy |
Elements | |
Cells | 720 pentagrammic prisms, 120 truncated great dodecahedra, 120 small rhombidodecahedra |
Faces | 3600 squares, 1440 pentagrams, 1440 decagons |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Butterfly wedge, edge lengths (√5–1)/2 (bases), √2 (sides of outer triangles), and √(5+√5)/2 (sides of inner triangles) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Sird–4–stip: |
Sird–10–tigid: 36° | |
Tigid–5/2–stip: 18° | |
Related polytopes | |
Army | Semi-uniform Srix, edge lengths (icosidodecahedra), 1 (main triangles) |
Regiment | Sirfix |
Conjugate | Rhombic great hecatonicosihecatonicosachoron |
Abstract & topological properties | |
Flag count | 144000 |
Euler characteristic | –1680 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The rhombic small hecatonicosihecatonicosachoron, or rashihy, is a nonconvex uniform polychoron that consists of 120 truncated great dodecahedra, 120 small rhombidodecahedra, and 720 pentagrammic prisms. 2 of each type of cell join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated faceted hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#174).