Retrofrustary tristetracontoctachoron

Retrofrustary tristetracontoctachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Riftic
Elements
Cells	48 cuboctahedra 48 quasirhombicuboctahedra 48 small rhombihexahedra
Faces	384 triangles 864 squares 144 octagons
Edges	1152
Vertices	288
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Aftic
Abstract & topological properties
Flag count	23040
Euler characteristic	384
Orientable	No
Properties
Symmetry	F4×2, order 2304
Flag orbits	10
Convex	No
Nature	Wild

The retrofrustary tristetracontoctachoron (OBSA: riftic) is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 48 quasirhombicuboctahedra and 48 small rhombihexahedra. Two cuboctahedra, four quasirhombicuboctahedra and four small rhombihexahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 15: Afdec Regiment" (#617).