Disicositetrintercepted prismatoicositetrachoron

Disicositetrintercepted prismatoicositetrachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dinpi
Elements
Cells	24 tic, 24 socco, 24 sirco, 96 trip
Faces	384 triangles, 432 squares, 144 octagons
Edges	576
Vertices	144
Measures (edge length 1)
Circumradius	$\sqrt{2+\sqrt2} \approx 1.84776$
Related polytopes
Army	Spic
Regiment	Spic
Conjugate	Ipindi
Abstract & topological properties
Euler characteristic	360
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The disicositetrintercepted prismatoicositetrachoron, or dinpi, is a nonconvex uniform polychoron that consists of 24 truncated cubes, 24 small cubicuboctahedra, 24 small rhombicuboctahedra, and 96 triangular prisms. Four truncated cubes, four small cubicuboctahedra, four small rhombicuboctahedra, and four triangular prisms join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.

External links

• Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#529).