Great invertifrustary tetracontoctitrisicositetrachoron

Great invertifrustary tetracontoctitrisicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gif citi
Elements
Cells	48 co, 24 gocco, 24 socco, 24 cotco
Faces	384 triangles, 288 squares, 96 hexagons, 144 octagons, 144 octagrams
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Sif citi
Abstract & topological properties
Euler characteristic	72
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The great invertifrustary tetracontoctitrisicositetrachoron, or gif 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 small invertifrustary tetracontoctitrisicositetrachoron, but the great cubicuboctahedra and small cubicuboctahedra are in different positions.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.

External links

• Bowers, Jonathan. "Category 15: Afdec Regiment" (#642).