Ditrigonary tetrishecatonicosachoron

The ditrigonary tetrishecatonicosachoron, or dutithi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. Three great icosidodecahedra, three icosidodecahedra, six great icosicosidodecahedra, and six small icosicosidodecahedra join at each vertex.

Ditrigonary tetrishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dutithi
Elements
Cells	120 gid, 120 id, 120 giid, 120 siid
Faces	4800 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 tetrishecatonicosachoron
Abstract & topological properties
Euler characteristic	3600
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

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" (#1167).