Great skewverted prismatoprismatotesseractihexadecachoron

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Great skewverted prismatoprismatotesseractihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymGik vapippith
Elements
Cells32 hexagonal prisms, 24 octagonal prisms, 16 cubohemioctahedra, 8 small rhombihexahedra
Faces96+96+96 squares, 64 hexagons, 48 octagons
Edges192+192+192
Vertices192
Vertex figureCrossed skewed butterfly wedge, edge lengths 2 (6), 3 (2), and 2+2 (2)
Measures (edge length 1)
Circumradius
Dichoral anglesCho–6–hip: 150°
 Sroh–4–hip:
 Op–4–hip:
 Sroh–8–op: 45°
 Cho–4–op: 45°
Related polytopes
ArmySemi-uniform Proh, edge lengths (truncated cubes), 1 (bases of triangular prisms)
RegimentSkiviphado
ConjugateSmall skewverted prismatoprismatotesseractihexadecachoron
Abstract & topological properties
Flag count7680
Euler characteristic–64
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

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]