Great antifrustary prismatotetrisicositetrachoron

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

Great antifrustary prismatotetrisicositetrachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gafputi
Elements
Cells	24 groh, 24 gocco, 24 sroh, 24 socco, 96 hip
Faces	192 triangles, 720 squares, 96 hexagons, 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 & topological properties
Euler characteristic	240
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

It has the same cell counts as the small antifrustary prismatotetrisicositetrachoron, but the great rhombihexahedra, great cubicuboctahedra, small rhombihexahedra, 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" (#636).