Prismatoquasirhombated great faceted hexacosichoron
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Prismatoquasirhombated great faceted hexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Paqrigafix |
Coxeter diagram | x5x5/3o3x () |
Elements | |
Cells | 1200 triangular prisms, 720 decagonal prisms, 120 truncated great dodecahedra, 120 quasirhombicosidodecahedra |
Faces | 2400 triangles, 3600+3600 squares, 1440 pentagrams, 1440 decagons |
Edges | 3600+7200+7200 |
Vertices | 7200 |
Vertex figure | Crossed isosceles trapezoidal pyramid, base edge lengths 1, √2, (√5–1)/2, √2; lateral edge lengths √2, √2, √(5+√5)/2, √(5+√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Qrid–3–trip: 150° |
Qrid–5/2–tigid: 72° | |
Qrid–4–dip: | |
Tigid–10–dip: 54° | |
Dip–4–trip: | |
Related polytopes | |
Army | Semi-uniform Grix |
Regiment | Sipthi |
Conjugate | Quasiprismatorhombated faceted hexacosichoron |
Abstract & topological properties | |
Euler characteristic | –480 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The prismatoquasirhombated great faceted hexacosichoron, or paqrigafix, is a nonconvex uniform polychoron that consists of 1200 triangular prisms, 720 decagonal prisms, 120 truncated great dodecahedra, and 120 quasirhombicosidodecahedra. 1 triangular prism, 2 decagonal prisms, 1 quasirhombicosidodecahedron, and 1 truncated great dodecahedron join at each vertex. It can be obtained by quasiruncitruncating the great grand hecatonicosachoron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatotrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#404).
- Klitzing, Richard. "paqrigafix".