Small tritrigonary prismatohexacositrishecatonicosachoron

Small tritrigonary prismatohexacositrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut pixthi
Elements
Cells	120 ditdid, 720 stip, 120 tid, 600 co, 120 saddid
Faces	4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 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 pixthi
Abstract & topological properties
Euler characteristic	2640
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary prismatohexacositrishecatonicosachoron, or stut pixthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 720 pentagrammic prisms, 120 truncated dodecahedra, 600 cuboctahedra, and 120 small dodecicosidodecahedra. One ditrigonary dodecadodecahedron, three pentagrammic prisms, three truncated dodecahedra, three cuboctahedra, and three small dodecicosidodecahedra join at each vertex.

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" (#1329).