Small tritrigonary prismatohecatonicosihexacosicubidishecatonicosachoron

Small tritrigonary prismatohecatonicosihexacosicubidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut phixacady
Elements
Cells	120 compound of five cubes, 120 truncated icosahedra, 120 truncated dodecahedra, 600 cuboctahedra, 120 small dodecicosidodecahedra, 1200 hexagonal prisms
Faces	4800 triangles, 7200 squares, 1440 pentagons, 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 phixacady
Abstract & topological properties
Euler characteristic	6120
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary prismatohecatonicosihexacosicubidishecatonicosachoron, or stut phixacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 120 truncated icosahedra, 120 truncated dodecahedra, 600 cuboctahedra, 120 small dodecicosidodecahedra, and 1200 hexagonal prisms. Two cubes (one compound), three truncated icosahedra, three truncated dodecahedra, three cuboctahedra, three small dodecicosidodecahedra, and six hexagonal prisms 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" (#1360).