Ditrigonary trishecatonicosihexacosichoron

Ditrigonary trishecatonicosihexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dit thix
Elements
Cells	120 gidditdid, 120 sidditdid, 120 ided, 600 oho
Faces	4800 triangles, 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 trishecatonicosihexacosichoron
Abstract properties
Euler characteristic	4560
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The ditrigonary trishecatonicosihexacosichoron, or dit thix, is a nonconvex uniform polychoron that consists of 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, and 600 octahemioctahedra. Six great ditrigonal dodecicosidodecahedra, six small ditrigonal dodecicosidodecahedra, six icosidodecadodecahedra, and six octahemioctahedra 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" (#1230).