Retroditrigonary hecatonicosidishecatonicosachoron

Retroditrigonary hecatonicosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ridthidy
Elements
Cells	120 raded, 120 gidditdid, 120 sidditdid
Faces	2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 720 decagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Retroditrigonary hecatonicosidishecatonicosachoron
Abstract & topological properties
Euler characteristic	2160
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The retroditrigonary hecatonicosidishecatonicosachoron, or ridthidy, is a nonconvex uniform polychoron that consists of 120 rhombidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. 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" (#1162).