Ditrigonary hecatonicosidishecatonicosachoron

Ditrigonary hecatonicosidishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dithidy
Elements
Cells	120 ditdid, 120 gidditdid, 120 sidditdid
Faces	2400 triangles, 1440 pentagons, 1440 pentagrams, 720 decagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Ditrigonary hecatonicosidishecatonicosachoron
Abstract & topological properties
Euler characteristic	360
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The ditrigonary hecatonicosidishecatonicosachoron, or dithidy, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two ditrigonary dodecadodecahedra, six great ditrigonal dodecicosidodecahedra, and six small ditrigonal dodecicosidodecahedra 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" (#1157).