Skewverted prismatotristesseract
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Skewverted prismatotristesseract | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Kaviptit |
Elements | |
Cells | 32 hexagonal prisms, 8 small rhombihexahedra, 8 great rhombihexahedra, 8 cuboctatruncated cuboctahedra |
Faces | 96+96 squares, 64 hexagons, 48 octagons, 48 octagrams |
Edges | 192+192+192 |
Vertices | 192 |
Vertex figure | Crossed skewed butterfly wedge, edge lengths √2 (4), √3 (2), √2+√2 (2), and √2–√2 (2) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Groh–4–hip: |
Groh–8/3–cotco: 90° | |
Sroh–8–cotco: 90° | |
Cotco–6–hip: 90° | |
Sroh–4–hip: | |
Related polytopes | |
Army | Semi-uniform Proh, edge lengths (truncated cubes), 1 (bases of triangular prisms) |
Regiment | Skiviphado |
Conjugate | Skewverted prismatotristesseract |
Abstract & topological properties | |
Flag count | 7680 |
Euler characteristic | –88 |
Orientable | No |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The skewverted prismatotristesseract, or kaviptit, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra, 8 small rhombihexahedra, 8 cuboctatruncated cuboctahedra, and 32 hexagonal prisms. One great rhombihexahedron, one small rhombihexahedron, two cuboctatruncated cuboctahedra, and two hexagonal prisms join at each vertex.
It can be constructed as a blend of four cuboctatruncated cuboctahedral prisms. In the process the octagonal and octagrammic prisms blend into small and great rhombihexahedra respectively.
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" (#561).