Ditrigonary hecatonicosihecatonicosihecatonicosachoron

Ditrigonary hecatonicosihecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dithihihy
Elements
Cells	120 raded, 120 giid, 120 siid
Faces	2400 triangles, 1800 squares, 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 hecatonicosihecatonicosihecatonicosachoron
Abstract properties
Euler characteristic	3120
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The ditrigonary hecatonicosihecatonicosihecatonicosachoron, or dithihihy, is a nonconvex uniform polychoron that consists of 120 rhombidodecadodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. Six 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" (#1170).