Small dipentary prismatotetrishecatonicosachoron

Small dipentary prismatotetrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sidpupthi
Elements
Cells	120 sissid, 120 gad, 720 stip, 120 ti, 120 ri
Faces	3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges	3600+3600
Vertices	1440
Measures (edge length 1)
Circumradius	${\sqrt {4+{\sqrt {5}}}}\approx 2.49721$
Related polytopes
Army	Semi-uniform Tex
Regiment	Padohi
Conjugate	Great dipentary prismatotetrishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	1920
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small dipentary prismatotetrishecatonicosachoron, or sidpupthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 720 pentagrammic prisms, 120 truncated icosahedra, and 120 rhombicosahedra. One small stellated dodecahedron, one great dodecahedron, five pentagrammic prisms, five truncated icosahedra, and five rhombicosahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 21: Padohi Regiment" (#1002).