Antifrustary prismatodistetracontoctachoron

Antifrustary prismatodistetracontoctachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Afpaddic
Elements
Cells	48 querco, 48 socco, 96 hip
Faces	384 triangles, 864 squares, 96 hexagons, 144 octagons
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Gafpaddic
Abstract & topological properties
Euler characteristic	432
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The antifrustary prismatodistetracontoctachoron, or afpaddic, is a nonconvex uniform polychoron that consists of 48 quasirhombicuboctahedra, 48 small cubicuboctahedra, and 96 hexagonal prisms. Four quasirhombicuboctahedra, four small cubicuboctahedra, and four hexagonal prisms 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" (#625).