Small dipentary prismatotetrishecatonicosihexacosichoron

Small dipentary prismatotetrishecatonicosihexacosichoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Siddip puthix
Elements
Cells	120 sissid, 120 ike, 1200 trip, 600 tut, 120 ided, 120 srid
Faces	4800 triangles, 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 prismatotetrishecatonicosihexacosichoron
Abstract & topological properties
Flag count	230400
Euler characteristic	5640
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small dipentary prismatotetrishecatonicosihexacosichoron, or siddip puthix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 1200 triangular prisms, 600 truncated tetrahedra, 120 icosidodecadodecahedra, and 120 small rhombicosidodecahedra. One small stellated dodecahedron, one icosahedron, five triangular prisms, five truncated tetrahedra, five icosidodecadodecahedra, 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" (#1060).