Small invertifrustary prismatotetracontoctitetrisicositetrachoron

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Small invertifrustary prismatotetracontoctitetrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymSifpacuti
Elements
Cells48 co, 24 gocco, 24 querco, 24 sroh, 24 cotco, 96 hip
Faces384 triangles, 864 squares, 192 hexagons, 144 octagons, 144 octagrams
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateSrifpacuti
Abstract & topological properties
Euler characteristic624
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The small invertifrustary prismatotetracontoctitetrisicositetrachoron, or sifpacuti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 quasirhombicuboctahedra, 24 small rhombihexahedra, 24 cuboctatruncated cuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, two great cubicuboctahedra, two quasirhombicuboctahedra, two small rhombihexahedra, four cuboctatruncated cuboctahedra, and four hexagonal prisms join at each vertex.

It has the same cell counts as the great invertifrustary prismatotetracontoctitetrisicositetrachoron, but the great cubicuboctahedra, quasirhombicuboctahedra, and small rhombihexahedra 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]