Ditrigonary hexacosicubitrishecatonicosachoron

Ditrigonary hexacosicubitrishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Ditxacthi
Elements
Cells	120 compound of five cubes, 120 great icosidodecahedra, 120 icosidodecahedra, 120 icosidodecadodecahedra, 600 cubohemioctahedra
Faces	2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Ditrigonary hexacosicubitrishecatonicosachoron
Abstract properties
Euler characteristic	3720
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The ditrigonary hexacosicubitrishecatonicosachoron, or ditxacthi, 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 great icosidodecahedra, 120 icosidodecahedra, 120 icosidodecadodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), three great icosidodecahedra, three icosidodecahedra, 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" (#1242).