Antifrustary tetracontoctitetrisicositetrachoron

Antifrustary tetracontoctitetrisicositetrachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Afcuti
Elements
Cells	48 co, 24 gocco, 24 groh, 24 socco, 24 sroh
Faces	288 triangles, 576 squares, 144 octagons, 144 octagrams
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	None
Abstract properties
Euler characteristic	144
Topological properties
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The antifrustary tetracontoctitetrisicositetrachoron, or afcuti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 great rhombihexahedra, 24 small cubicuboctahedra, and 24 small rhombihexahedra. Two cuboctahedra, two great cubicuboctahedra, two great rhombihexahedra, two small cubicuboctahedra, and two small rhombihexahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 15: Afdec Regiment" (#622).