Small retroinvertifrustary prismatotetrisicositetrachoron

From Polytope Wiki
Jump to navigation Jump to search
Small retroinvertifrustary prismatotetrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymSrifupti
Elements
Cells24 gocco, 24 sirco, 24 sroh, 24 cotco, 96 hip
Faces192 triangles, 720 squares, 192 hexagons, 144 octagons, 144 octagrams
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateGirfupti
Abstract & topological properties
Euler characteristic336
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

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

It has the same cell counts as the great retroinvertifrustary prismatotetrisicositetrachoron, but the great cubicuboctahedra, small rhombicuboctahedra, 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]