Small ditrigonary trishecatonicosachoron

Small ditrigonary trishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidtithi
Elements
Cells	120 sidtid, 120 siid, 120 ri
Faces	2400 triangles, 1800 squares, 1440 pentagrams, 2400 hexagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gidtithi
Abstract & topological properties
Euler characteristic	1680
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary trishecatonicosachoron, or sidtithi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 small icosicosidodecahedra, and 120 rhombicosahedra. Two small ditrigonary icosidodecahedra, six small icosicosidodecahedra, and six rhombicosahedra 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" (#1175).