Antifrustary tristetracontoctachoron

Antifrustary tristetracontoctachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Aftic
Elements
Cells	48 co, 48 groh, 48 sirco
Faces	384 triangles, 864 squares, 144 octagrams
Edges	1152
Vertices	288
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Riftic
Abstract properties
Euler characteristic	384
Topological properties
Orientable	No
Properties
Symmetry	F4×2, order 2304
Convex	No
Nature	Wild

The antifrustary tristetracontoctachoron, or aftic, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 48 great rhombihexahedra, and 48 small rhombicuboctahedra. Two cuboctahedra, four great rhombihexahedra, and four small rhombicuboctahedra 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" (#618).