Ditrigonary hecatonicosicubihexacosichoron

Ditrigonary hecatonicosicubihexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dithicax
Elements
Cells	120 compound of five cubes, 120 rhombicosahedra, 600 cubohemioctahedra
Faces	5400 squares, 2400 hexagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Ditrigonary hecatonicosicubihexacosichoron
Abstract properties
Euler characteristic	480
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame
Discovered by	{{{discoverer}}}

The ditrigonary hecatonicosicubihexacosichoron, or dithicax, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplane, forming 120 compound of five cubes), 120 rhombicosahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six rhombicosahedra, and six cubohemioctahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1239).