Small tritrigonary hexacosiprismatodishecatonicosihecatonicosachoron

Small tritrigonary hexacosiprismatodishecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut xippady hi
Elements
Cells	120 sidtid, 120 sidditdid, 600 co, 1200 hip, 120 grid
Faces	4800 triangles, 7200 squares, 1440 pentagrams, 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 xippady hi
Abstract & topological properties
Euler characteristic	6720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary hexacosiprismatodishecatonicosihecatonicosachoron, or stut xippady hi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 600 cuboctahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. One small ditrigonary icosidodecahedron, three small ditrigonal dodecicosidodecahedra, three cuboctahedra, 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" (#1380).