Ditrigonary hecatonicosihexacosihecatonicosachoron

Ditrigonary hecatonicosihexacosihecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dathixhi
Elements
Cells	120 ditdid, 120 ided, 600 oho
Faces	2400 triangles, 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 hecatonicosihexacosihecatonicosachoron
Abstract properties
Euler characteristic	840
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame
Discovered by	{{{discoverer}}}

The ditrigonary hecatonicosihexacosihecatonicosachoron, or dathixhi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecadodecahedra, and 600 octahemioctahedra. Two ditrigonary dodecadodecahedra, 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" (#1221).