Prismatoicositetritetracontoctachoron

Prismatoicositetritetracontoctachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Pic
Elements
Cells	48 quith, 24 querco, 96 trip
Faces	384 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	Picni
Abstract & topological properties
Euler characteristic	288
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The prismatoicositetritetracontoctachoron, or pic, is a nonconvex uniform polychoron that consists of 48 quasitruncated hexahedra, 24 quasirhombicuboctahedra, and 96 triangular prisms. Eight quasitruncated hexahedra, four quasirhombicuboctahedra, 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" (#545).