Ditrigonary trishecatonicosachoron

Ditrigonary trishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dittathi
Elements
Cells	120 gid, 120 id, 120 raded
Faces	2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Ditrigonary trishecatonicosachoron
Abstract properties
Euler characteristic	720
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame
Discovered by	{{{discoverer}}}

The ditrigonary trishecatonicosachoron, or dittathi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, and 120 rhombidodecadodecahedra. Three great icosidodecahedra, three icosidodecahedra, and six rhombidodecadodecahedra 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" (#1154).