Disprismatodisicositetrachoron

Disprismatodisicositetrachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dipdi
Elements
Cells	24 socco, 24 tic, 96+96 trip
Faces	192+192 triangles, 72+288 squares, 144 octagons
Edges	288+288
Vertices	144
Measures (edge length 1)
Circumradius	$\sqrt{2+\sqrt2} \approx 1.84776$
Related polytopes
Army	Spic
Regiment	Spic
Conjugate	Dapindi
Abstract properties
Euler characteristic	216
Topological properties
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The disprismatodisicositetrachoron, or dipdi, is a nonconvex uniform polychoron that consists of 24 small cubicuboctahedra, 24 truncated cubes, and 192 triangular prisms. Four small cubicuboctahedra, four truncated cubes, and eight 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" (#525).