Small tritrigonary disprismatohexacosidishecatonicosachoron

Small tritrigonary disprismatohexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Stut dapixady
Elements
Cells	600 tet, 720 stip, 120 sidditdid, 1200 hip, 120 grid
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	Getit dapixady
Abstract & topological properties
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small tritrigonary disprismatohexacosidishecatonicosachoron, or stut dapixady, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 720 pentagrammic prisms, 120 small ditrigonal dodecicosidodecahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. One tetrahedron, three pentagrammic prisms, three small ditrigonal dodecicosidodecahedra, six hexagonal prisms, and six great rhombicosidodecahedra join at each vertex.

It also has compound of five cubes as pseudofacets.

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" (#1367).