Small ditrigonary hecatonicosihecatonicosidishecatonicosachoron

Small ditrigonary hecatonicosihecatonicosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidthi hidy
Elements
Cells	120 sidtid, 120 raded, 120 giid, 120 siddy
Faces	2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gidthi hidy
Abstract & topological properties
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary hecatonicosihecatonicosidishecatonicosachoron, or sidthi hidy, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 rhombidodecadodecahedra, 120 great icosicosidodecahedra, and 120 small dodecicosahedra. Two small ditrigonary icosidodecahedra, six rhombidodecadodecahedra, six great icosicosidodecahedra, and six small dodecicosahedra 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" (#1194).