Skewverted prismatotristesseract

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Skewverted prismatotristesseract
Rank4
TypeUniform
Notation
Bowers style acronymKaviptit
Elements
Cells32 hexagonal prisms, 8 small rhombihexahedra, 8 great rhombihexahedra, 8 cuboctatruncated cuboctahedra
Faces96+96 squares, 64 hexagons, 48 octagons, 48 octagrams
Edges192+192+192
Vertices192
Vertex figureCrossed skewed butterfly wedge, edge lengths 2 (4), 3 (2), 2+2 (2), and 2–2 (2)
Measures (edge length 1)
Circumradius
Dichoral anglesGroh–4–hip:
 Groh–8/3–cotco: 90°
 Sroh–8–cotco: 90°
 Cotco–6–hip: 90°
 Sroh–4–hip:
Related polytopes
ArmySemi-uniform Proh, edge lengths (truncated cubes), 1 (bases of triangular prisms)
RegimentSkiviphado
ConjugateSkewverted prismatotristesseract
Abstract & topological properties
Flag count7680
Euler characteristic–88
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

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]