Diretroprismatodisicositetritetracontoctachoron

Diretroprismatodisicositetritetracontoctachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dirpidic
Elements
Cells	48 oct, 24 tic, 24 sroh, 96 trip
Faces	384 triangles, 288 squares, 144 octagons
Edges	576
Vertices	144
Measures (edge length 1)
Circumradius	$\sqrt{2+\sqrt2} \approx 1.84776$
Number of pieces	5328
Level of complexity	184
Related polytopes
Army	Spic
Regiment	Spic
Conjugate	Ifpic
Abstract properties
Euler characteristic	192
Topological properties
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The diretroprismatodisicositetritetracontoctachoron, or dirpidic, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 truncated cubes, 24 small rhombihexahedra, and 96 triangular prisms. Two octahedra, four truncated cubes, four small rhombihexahedra, and four triangular prisms join at each vertex.

It has the same cell counts as the prismatofaceted tetracontoctodisicositetrachoron, but the small rhombihexahedra and triangular prisms are in different positions.

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" (#527).