Great antifrustary prismatotetrisicositetrachoron

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Great antifrustary prismatotetrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymGafputi
Elements
Cells24 groh, 24 gocco, 24 sroh, 24 socco, 96 hip
Faces192 triangles, 720 squares, 96 hexagons, 144 octagons, 144 octagrams
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateNone
Abstract & topological properties
Euler characteristic240
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The great antifrustary prismatotetrisicositetrachoron, or gafputi, is a nonconvex uniform polychoron that consists of 24 great rhombihexahedra, 24 great cubicuboctahedra, 24 small rhombihexahedra, 24 small cubicuboctahedra, and 96 hexagonal prisms. Two great rhombihexahedra, two great cubicuboctahedra, two small rhombihexahedra, two small cubicuboctahedra, and four hexagonal prisms join at each vertex.

It has the same cell counts as the small antifrustary prismatotetrisicositetrachoron, but the great rhombihexahedra, great cubicuboctahedra, small rhombihexahedra, and small cubicuboctahedra are in different positions.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.

External links[edit | edit source]