Retrofrustary tetracontoctidisicositetrachoron

Retrofrustary tetracontoctidisicositetrachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Rafficdi
Coxeter diagram	x3o4x3o4/3*a ()
Elements
Cells	24+24 cuboctahedra, 24 small rhombicuboctahedra, 24 quasirhombicuboctahedra
Faces	192+192 triangles, 144+144+288 squares
Edges	576+576
Vertices	288
Vertex figure	Semicrossed rectangular trapezoprism, edge lengths 1 and √2 (base) and √2 (sides)
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Hypervolume	8
Dichoral angles	Co–4–querco: 135°
	Co–3–querco: 120°
	Querco–4–sirco: 90°
	Co–3–sirco: 60°
	Co–4–sirco: 45°
Related polytopes
Army	Cont, edge length ${\sqrt {2}}-1$
Regiment	Afdec
Conjugate	Retrofrustary tetracontoctidisicositetrachoron
Abstract & topological properties
Flag count	13824
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Tame

The retrofrustary tetracontoctidisicositetrachoron, or rafficdi, is a nonconvex uniform polychoron that consists of 24+24 cuboctahedra, 24 small rhombicuboctahedra, and 24 quasirhombicuboctahedra. 2 cuboctahedra, 2 small rhombicuboctahedra, and 2 quasirhombicuboctahedra 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" (#619).

• Klitzing, Richard. "rafficdi".