Small tritrigonary prismatodishecatonicosachoron

Small tritrigonary prismatodishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut paddy
Elements
Cells	120 sird, 1200 hip, 120 grid
Faces	7200 squares, 2400 hexagons, 1440 decagons
Edges	3600+7200
Vertices	2400
Measures (edge length 1)
Circumradius	${\sqrt {8+3{\sqrt {5}}}}\approx 3.83513$
Related polytopes
Army	Semi-uniform Sidpixhi
Regiment	Stut phiddix
Conjugate	Getit paddy
Abstract & topological properties
Euler characteristic	1200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small tritrigonary prismatodishecatonicosachoron, or stut paddy, is a nonconvex uniform polychoron that consists of 120 small rhombidodecahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. Three small rhombidodecahedra, six hexagonal prisms, and six great rhombicosidodecahedra join at each vertex.

It also has compound of five cubes as pseudofacets.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.

External links

• Bowers, Jonathan. "Category 24: Stut Phiddix Regiment" (#1345).