Small invertifrustary prismatotetracontoctitrisicositetrachoron

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Small invertifrustary prismatotetracontoctitrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymSifpicti
Elements
Cells48 co, 24 querco, 24 socco, 24 sroh, 96 hip
Faces384 triangles, 864 squares, 96 hexagons, 144 octagons
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateSirfpicti
Abstract & topological properties
Euler characteristic408
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

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

It has the same cell counts as the great invertifrustary prismatotetracontoctitrisicositetrachoron, but the quasirhombicuboctahedra, small cubicuboctahedra, 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]