Great skewverted prismatoprismatotesseractihexadecachoron
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Great skewverted prismatoprismatotesseractihexadecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gik vapippith |
Elements | |
Cells | 32 hexagonal prisms, 24 octagonal prisms, 16 cubohemioctahedra, 8 small rhombihexahedra |
Faces | 96+96+96 squares, 64 hexagons, 48 octagons |
Edges | 192+192+192 |
Vertices | 192 |
Vertex figure | Crossed skewed butterfly wedge, edge lengths √2 (6), √3 (2), and √2+√2 (2) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Cho–6–hip: 150° |
Sroh–4–hip: | |
Op–4–hip: | |
Sroh–8–op: 45° | |
Cho–4–op: 45° | |
Related polytopes | |
Army | Semi-uniform Proh, edge lengths (truncated cubes), 1 (bases of triangular prisms) |
Regiment | Skiviphado |
Conjugate | Small skewverted prismatoprismatotesseractihexadecachoron |
Abstract & topological properties | |
Flag count | 7680 |
Euler characteristic | –64 |
Orientable | No |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The great skewverted prismatoprismatotesseractihexadecachoron, or gik vapippith, is a nonconvex uniform polychoron that consists of 16 cubohemioctahedra, 8 small rhombihexahedra, 24 octagonal prisms, and 32 hexagonal prisms. One cubohemioctahedron, one small rhombihexahedron, two octagonal prisms, and two hexagonal prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small skewverted prismatohexadecadisoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 14: Skewverts" (#560).
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