Ditrigonary hecatonicosihexacosichoron

Ditrigonary hecatonicosihexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dithix
Elements
Cells	120 quitdid, 600 toe
Faces	3600 squares, 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 hecatonicosihexacosichoron
Abstract properties
Euler characteristic	720
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame
Discovered by	{{{discoverer}}}

The ditrigonary hecatonicosihexacosichoron, or dithix, is a nonconvex uniform polychoron that consists of 120 quasitruncated dodecadodecahedra and 600 truncated octahedra. Twelve of each 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" (#1233).