Small invertifrustary tetracontoctitrisicositetrachoron

From Polytope Wiki
Jump to navigation Jump to search
Small invertifrustary tetracontoctitrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymSif citi
Elements
Cells48 co, 24 gocco, 24 socco, 24 cotco
Faces384 triangles, 288 squares, 96 hexagons, 144 octagons, 144 octagrams
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateGif citi
Abstract & topological properties
Euler characteristic72
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The small invertifrustary tetracontoctitrisicositetrachoron, or sif citi, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 small cubicuboctahedra, and 24 cuboctatruncated cuboctahedra. Two cuboctahedra, two great cubicuboctahedra, two small cubicuboctahedra, and four cuboctatruncated cuboctahedra join at each vertex.

It has the same cell counts as the great invertifrustary tetracontoctitrisicositetrachoron, but the great cubicuboctahedra 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]