Small retrofrustary prismatotetracontoctitrisicositetrachoron

Small retrofrustary prismatotetracontoctitrisicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sirfpicti
Elements
Cells	48 co, 24 gocco, 24 groh, 24 sirco, 96 hip
Faces	384 triangles, 864 squares, 96 hexagons, 144 octagrams
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Sifpicti
Abstract & topological properties
Euler characteristic	408
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The small retrofrustary prismatotetracontoctitrisicositetrachoron, or sirfpicti, is a nonconvex uniform polychoron that consists of 48 cuboctahedra, 24 great cubicuboctahedra, 24 great rhombihexahedra, 24 small rhombicuboctahedra, and 96 hexagonal prisms. Two cuboctahedra, two great cubicuboctahedra, two great rhombihexahedra, two small rhombicuboctahedra, and four hexagonal prisms join at each vertex.

It has the same cell counts as the great retrofrustary prismatotetracontoctitrisicositetrachoron, but the great cubicuboctahedra, great rhombihexahedra, and small rhombicuboctahedra are in different positions.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 15: Afdec Regiment" (#631).