Small skewverted dishexacositetrishecatonicosachoron
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Small skewverted dishexacositetrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Skiv dixathi |
Elements | |
Cells | 120 gidditdid, 600 co, 120 srid, 120 idtid, 120 grid, 600 toe |
Faces | 4800 triangles, 7200 squares, 1440 pentagons, 4800 hexagons, 1440 decagons, 1440 decagrams |
Edges | 7200+7200+7200 |
Vertices | 7200 |
Vertex figure | Inverted skewed wedge, base edge lengths 1, √2, 1, √2; lateral edge lengths √2, (1+√5)/2, √(5–√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Prix |
Regiment | Skiv datapixady |
Conjugate | Gikkiv dixathi |
Abstract & topological properties | |
Euler characteristic | 5040 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small skewverted dishexacositetrishecatonicosachoron, or skiv dixathi, is a nonconvex uniform polychoron that consists of 120 great ditrigonal dodecicosidodecahedra, 600 cuboctahedra, 120 small rhombicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, 120 great rhombicosidodecahedra, and 600 truncated octahedra. One great ditrigonal dodecicosidodecahedron, one cuboctahedron, one small rhombicosidodecahedron, two icosidodecatruncated icosidodecahedra, two great rhombicosidodecahedra, and two truncated octahedra 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" (#608).
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