Small ditrigonary tetrishecatonicosiprismatohexacosichoron

Small ditrigonary tetrishecatonicosiprismatohexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidtuthipix
Elements
Cells	120 gid, 120 id, 120 siid, 120 gidditdid, 720 dip, 600 cho
Faces	4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 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	Gidtuthipix
Abstract & topological properties
Euler characteristic	9120
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary tetrishecatonicosiprismatohexacosichoron, or sidtuthipix, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 small icosicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Three great icosidodecahedra, three icosidodecahedra, six small icosicosidodecahedra, six great ditrigonal dodecicosidodecahedra, twelve decagonal 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" (#1284).