Small ditrigonary hecatonicosiprismatohexacosihecatonicosachoron

Small ditrigonary hecatonicosiprismatohexacosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidthippixhi
Elements
Cells	120 sidtid, 120 siid, 720 stiddip, 600 cho
Faces	2400 triangles, 5400 squares, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gidthippixhi
Abstract & topological properties
Euler characteristic	4800
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary hecatonicosiprismatohexacosihecatonicosachoron, or sidthippixhi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 small icosicosidodecahedra, 720 decagrammic prisms, and 600 cubohemioctahedra. Two small ditrigonary icosidodecahedra, six small icosicosidodecahedra, twelve decagrammic prisms, and six cubohemioctahedra 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" (#1256).