Small retrofrustary prismatotrisicositetrachoron

Small retrofrustary prismatotrisicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sirfipti
Elements
Cells	24 groh, 24 sroh, 24 cotco, 96 hip
Faces	576 squares, 192 hexagons, 144 octagons, 144 octagrams
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	None
Abstract & topological properties
Euler characteristic	24
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Tame

The small retrofrustary prismatotrisicositetrachoron, or sirfipti, is a nonconvex uniform polychoron that consists of 24 great rhombihexahedra, 24 small rhombihexahedra, 24 cuboctatruncated cuboctahedra, and 96 hexagonal prisms. Two great rhombihexahedra, two small rhombihexahedra, four cuboctatruncated cuboctahedra, and four hexagonal prisms join at each vertex.

It has the same cell counts as the great retrofrustary prismatotrisicositetrachoron, but the great rhombihexahedra and small rhombihexahedra 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" (#651).