Small tritrigonary disprismatohecatonicosicubihexacosichoron

Small tritrigonary disprismatohecatonicosicubihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut diphicax
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 720 pentagrammic prisms, 120 small ditrigonal dodecicosidodecahedra, 720 decagonal prisms
Faces	2400 triangles, 7200 squares, 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 diphicax
Abstract & topological properties
Euler characteristic	1320
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary disprismatohecatonicosicubihexacosichoron, or stut diphicax, 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, and 720 decagonal prisms. Two cubes (one compound), one tetrahedron, three pentagrammic prisms, three small ditrigonal dodecicosidodecahedra, and six decagonal 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" (#1349).