Great skewverted ditrigonal prismatohexacosidishecatonicosachoron
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Great skewverted ditrigonal prismatohexacosidishecatonicosachoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gikkiv datapixady |
Coxeter diagram | x3o3x5x5/3*b () |
Elements | |
Cells | 720 decagonal prisms, 600 cuboctahedra, 120 small ditrigonal dodecicosidodecahedra, 120 quasirhombicosidodecahedra |
Faces | 2400+2400 triangles, 3600+3600 squares, 1440 pentagrams, 1440 decagons |
Edges | 7200+7200+7200 |
Vertices | 7200 |
Vertex figure | Crossed skewed wedge, base edge lengths 1, 1, (√5–1)/2; lateral edge lengths √2, √2, √(5+√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Qrid–3–co: |
Qrid–5/2–sidditdid: 108° | |
Co–4–dip: | |
Sidditdid–3–co: | |
Qrid–4–dip: | |
Sidditdid–10–dip: 54° | |
Related polytopes | |
Army | Semi-uniform Grix |
Regiment | Gik vixathi |
Conjugate | Small skewverted ditrigonal prismatohexacosidishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1080 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great skewverted ditrigonal prismatohexacosidishecatonicosachoron, or gikkiv datapixady, is a nonconvex uniform polychoron that consists of 720 decagonal prisms, 600 cuboctahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 quasirhombicosidodecahedra. 1 cuboctahedron, 1 small ditrigonal dodecicosidodecahedron, 1 quasirhombicosidodecahedron, and 2 decagonal prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great skewverted hexacositrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 14: Skewverts" (#569).
- Klitzing, Richard. "gikkiv datapixady".