Great antifrustary tetracontoctiprismatotetracontoctachoron

The great antifrustary tetracontoctiprismatotetracontoctachoron, or gafcappic, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 48 small rhombicuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, four small rhombicuboctahedra, and four hexagonal prisms join at each vertex.

Great antifrustary tetracontoctiprismatotetracontoctachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gafcappic
Elements
Cells	48 co, 48 sirco, 96 hip
Faces	384 triangles, 864 squares, 96 hexagons
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Safcappic
Abstract & topological properties
Euler characteristic	288
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 15: Afdec Regiment" (#627).