Small tritrigonary dishecatonicosidishexacosidishecatonicosachoron

Small tritrigonary dishecatonicosidishexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stutted hidixady
Elements
Cells	120 sidtid, 600 tet, 600 cho, 120 sird, 120 siid, 120 tid
Faces	4800 triangles, 3600 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	Getitid hidixady
Abstract & topological properties
Euler characteristic	3600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary dishecatonicosidishexacosidishecatonicosachoron, or stutted hidixady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 600 tetrahedra, 600 cubohemioctahedra, 120 small rhombidodecahedra, 120 small icosicosidodecahedra, and 120 truncated dodecahedra. One small ditrigonary icosidodecahedron, one tetrahedron, three cubohemioctahedra, three small rhombidodecahedra, three small icosicosidodecahedra, and three truncated dodecahedra 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" (#1337).