Disicositetrintercepted icositetritetracontoctachoron

Disicositetrintercepted icositetritetracontoctachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dinic
Elements
Cells	48 oct, 24 tic, 24 sirco, 24 sroh
Faces	384 triangles, 360 squares, 144 octagons
Edges	576
Vertices	144
Measures (edge length 1)
Circumradius	$\sqrt{2+\sqrt2} \approx 1.84776$
Number of pieces	1008
Level of complexity	28
Related polytopes
Army	Spic
Regiment	Spic
Conjugate	Incdi
Abstract properties
Euler characteristic	336
Topological properties
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The disicositetrintercepted icositetritetracontoctachoron, or dinic, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 truncated cubes, 24 small rhombicuboctahedra, and 24 small rhombihexahedra. Two octahedra, four truncated cubes, four small rhombicuboctahedra, and four small rhombihexahedra 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" (#530).