Small spinodipentary hecatonicosiprismatohecatonicosachoron

Small spinodipentary hecatonicosiprismatohecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Snid phiphi
Elements
Cells	120 sissid, 720 stip, 120 sird
Faces	3600 squares, 1440 pentagrams, 720 decagons
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 spinodipentary hecatonicosiprismatohecatonicosachoron
Abstract & topological properties
Flag count	115200
Euler characteristic	–960
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small spinodipentary hecatonicosiprismatohecatonicosachoron, or snid phiphi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 720 pentagrammic prisms, and 120 small rhombidodecahedra. One small stellated dodecahedron, five pentagrammic prisms, and five small rhombidodecahedra 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" (#1012).