Small interceptofrustary prismatotetracontoctitetrisicositetrachoron

Small interceptofrustary prismatotetracontoctitetrisicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Snifpacuti
Elements
Cells	48 co, 24 gocco, 24 sirco, 24 sroh, 24 cotco, 96 hip
Faces	384 triangles, 864 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	Girfpacuti
Abstract & topological properties
Euler characteristic	624
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

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

It has the same cell counts as the great interceptofrustary prismatotetracontoctitetrisicositetrachoron, but the great cubicuboctahedra, small rhombicuboctahedra, 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" (#659).