Small capped dipentary prismatohexacositrishecatonicosachoron

Small capped dipentary prismatohexacositrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sicdip pixthi
Elements
Cells	120 sissid, 120 gad, 720 stip, 120 ti, 600 cho
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 capped dipentary prismatohexacositrishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	1440
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The small capped dipentary prismatohexacositrishecatonicosachoron, or sicdip pixthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 720 pentagrammic prisms, 120 truncated icosahedra, and 600 cubohemioctahedra. One small stellated dodecahedron, one great dodecahedron, five pentagrammic prisms, five truncated icosahedra, and five cubohemioctahedra 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" (#1000).