Small spinocapped dipentary hexacositrishecatonicosachoron

Small spinocapped dipentary hexacositrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Snic dapixthi
Elements
Cells	120 gike, 600 tut, 120 ri, 120 sird
Faces	2400 triangles, 3600 squares, 2400 hexagons, 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 spinobased dipentary hexacositrishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	2400
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small spinocapped dipentary hexacositrishecatonicosachoron, or snic dapixthi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 600 truncated tetrahedra, 120 rhombicosahedra, and 120 small rhombidodecahedra. One great icosahedron, five truncated tetrahedra, five rhombicosahedra, 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" (#1022).