Small based dipentary hecatonicosiprismatohexacosidishecatonicosachoron

Small based dipentary hecatonicosiprismatohexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sibdiphip xady
Elements
Cells	120 ike, 600 tut, 120 ti, 1200 trip, 120 srid
Faces	4800 triangles, 3600 squares, 1440 pentagons, 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 hecatonicosiprismatohexacosidishecatonicosachoron
Abstract & topological properties
Flag count	201600
Euler characteristic	4320
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small based dipentary hecatonicosiprismatohexacosidishecatonicosachoron, or sibdiphip xady, is a nonconvex uniform polychoron that consists of 120 icosahedra, 600 truncated tetrahedra, 120 truncated icosahedra, 1200 triangular prisms, and 120 small rhombicosidodecahedra. One icosahedron, five truncated tetrahedra, five truncated icosahedra, five triangular prisms, and five small rhombicosidodecahedra 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" (#1033).