Small tritrigonary hexacosicubitrishecatonicosachoron

Small tritrigonary hexacosicubitrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut xacthi
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 120 truncated icosahedra, 120 small dodecicosidodecahedra, 120 great rhombicosidodecahedra
Faces	2400 triangles, 3600 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 xacthi
Abstract & topological properties
Euler characteristic	1320
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary hexacosicubitrishecatonicosachoron, or stut xacthi, 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, 120 truncated icosahedra, 120 small dodecicosidodecahedra, and 120 great rhombicosidodecahedra. Two cubes (one compound), one tetrahedron, three truncated icosahedra, three small dodecicosidodecahedra, 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" (#1351).