Small tritrigonary prismatodishexacosicubidishecatonicosachoron

Small tritrigonary prismatodishexacosicubidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Statupid xacady
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 720 pentagrammic prisms, 120 small ditrigonal dodecicosidodecahedra, 600 cubohemioctahedra, 120 great rhombicosidodecahedra
Faces	2400 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	Getitpid xacady
Abstract & topological properties
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary prismatodishexacosicubidishecatonicosachoron, or statupid xacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 600 tetrahedra, 720 pentagrammic prisms, 120 small ditrigonal dodecicosidodecahedra, 600 cubohemioctahedra, and 120 great rhombicosidodecahedra. Two cubes (one compound), one tetrahedron, three pentagrammic prisms, three small ditrigonal dodecicosidodecahedra, three cubohemioctahedra, and six great rhombicosidodecahedra 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" (#1357).