Ditrigonary hecatonicosihexacosicubidishecatonicosachoron

Ditrigonary hecatonicosihexacosicubidishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dithixacady
Elements
Cells	120 compound of five cubes, 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, 600 cubohemioctahedra
Faces	2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Ditrigonary hecatonicosihexacosicubidishecatonicosachoron
Abstract properties
Euler characteristic	5160
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The ditrigonary hecatonicosihexacosicubidishecatonicosachoron, or dithixacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six great ditrigonal dodecicosidodecahedra, six small ditrigonal dodecicosidodecahedra, six icosidodecadodecahedra, 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" (#1245).