Small ditrigonary prismatodishexacosidishecatonicosachoron

Small ditrigonary prismatodishexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Siddit padixady
Elements
Cells	120 id, 600 oct, 120 giid, 720 dip, 600 cho
Faces	4800 triangles, 5400 squares, 1440 pentagons, 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	Giddit padixady
Abstract & topological properties
Euler characteristic	6600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small ditrigonary prismatodishexacosidishecatonicosachoron, or siddit padixady, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra, 600 octahedra, 120 great icosicosidodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Three icosidodecahedra, three octahedra, six great icosicosidodecahedra, 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" (#1261).