Small skewverted ditrigonal hexacositrishecatonicosachoron
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Small skewverted ditrigonal hexacositrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Skiv datixathi |
Coxeter diagram | x3x3o5x5*a3/2*c *b5/3*d |
Elements | |
Cells | 600 octahemioctahedra, 120 small dodecicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 icosidodecatruncated icosidodecahedra |
Faces | 2400+2400 triangles, 1440 pentagons, 2400 hexagons, 1440 decagons, 1440 decagrams |
Edges | 7200+7200+7200 |
Vertices | 7200 |
Vertex figure | Crossed skewed wedge, base edge lengths 1, 1, (1+√5)/2; lateral edge lengths √3, √(5+√5)/2, √(5+√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Gidditdid–3–oho: |
Gidditdid–5–saddid: 144° | |
Gidditdid–10/3–idtid: 144° | |
Saddid–10–idtid: 144° | |
Saddid–3–oho: | |
Oho–6–iddtid: | |
Related polytopes | |
Army | Semi-uniform Prix, edge lengths (truncated dodecahedra), 1 (bases of triangular prisms) |
Regiment | Skiv datapixady |
Conjugate | Great skewverted ditrigonal hexacositrishecatonicosachoron |
Abstract & topological properties | |
Flag count | 259200 |
Euler characteristic | –3840 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The small skewverted ditrigonal hexacositrishecatonicosachoron, or skiv datixathi, is a nonconvex uniform polychoron that consists of 600 octahemioctahedra, 120 small dodecicosidodecahedra, 120 great ditrigonal icosidodecahedra, and 120 icosidodecatruncated dodecicosidodecahedra. 1 octahemioctahedron, 1 small dodecicosidodecahedron, 1 great ditrigonal dodecicosidodecahedron, and 2 icosidodecatruncated icosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small skewverted ditrigonal prismatohexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 14: Skewverts" (#598).