Prismatoicositetrintercepted icositetritetracontoctachoron

Prismatoicositetrintercepted icositetritetracontoctachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Pinic
Elements
Cells	48 oct, 24 groh, 24 gocco, 96 trip
Faces	288 triangles, 360 squares, 144 octagrams
Edges	576
Vertices	144
Measures (edge length 1)
Circumradius	${\sqrt {2-{\sqrt {2}}}}\approx 0.76537$
Related polytopes
Army	Spic
Regiment	Giddic
Conjugate	Inpic
Abstract & topological properties
Euler characteristic	168
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The prismatoicositetrintercepted icositetritetracontoctachoron, or pinic, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 great rhombihexahedra, 24 great cubicuboctahedra, and 96 triangular prisms. Two octahedra, four great rhombihexahedra, four great cubicuboctahedra, and four triangular prisms join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#550).