Great ditrigonary hexacosicubitrishecatonicosachoron

Great ditrigonary hexacosicubitrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidtoxicathi
Elements
Cells	120 compound of five cubes, 120 rhombidodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 great icosicosidodecahedra, 600 cubohemioctahedra
Faces	2400 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Sidtoxicathi
Abstract & topological properties
Euler characteristic	6240
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary hexacosicubitrishecatonicosachoron, or gidtoxicathi, 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 rhombidodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 great icosicosidodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six rhombidodecadodecahedra, six small ditrigonal dodecicosidodecahedra, six great icosicosidodecahedra, 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" (#1246).