Prismatoquasirhombated great grand stellated hecatonicosachoron
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Prismatoquasirhombated great grand stellated hecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Paqrigagishi |
Coxeter diagram | x5/3o3x3x () |
Elements | |
Cells | 720 pentagrammic prisms, 1200 hexagonal prisms, 600 truncated tetrahedra, 120 quasirhombicosidodecahedra |
Faces | 2400 triangles, 3600+3600 squares, 1440 pentagrams, 2400 hexagons |
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, √3, √3 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Qrid–5/2–stip: 126° |
Qrid–3–tut: | |
Qrid–4–hip: | |
Tut–6–hip: | |
Stip–4–hip: | |
Related polytopes | |
Army | Semi-uniform Prahi |
Regiment | Gippixady |
Conjugate | Prismatorhombated hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The prismatoquasirhombated great grand stellated hecatonicosachoron, or paqrigagishi, is a nonconvex uniform polychoron that consists of 720 pentagrammic prisms, 1200 hexagonal prisms, 600 truncated tetrahedra, and 120 quasirhombicosidodecahedra. 1 pentagrammic prism, 2 hexagonal prisms, 1 truncated tetrahedron, and 1 quasirhombicosidodecahedron join at each vertex. It can be obtained by quasiruncitruncating the grand hexacosichoron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great prismatohexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#407).
- Klitzing, Richard. "paqrigagishi".