Great invertifrustary tetracontoctitetrisicositetrachoron

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Great invertifrustary tetracontoctitetrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymGifcuti
Elements
Cells48 co, 24 querco, 24 gocco, 24 sroh, 24 cotco
Faces384 triangles, 576 squares, 96 hexagons, 144 octagons, 144 octagrams
Edges576+576
Vertices288
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentAfdec
ConjugateSirfcuti
Abstract & topological properties
Euler characteristic336
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

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

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