Antifrustary hexacositetrishecatonicosachoron

Antifrustary hexacositetrishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Afxuthi
Elements
Cells	120 qrid, 120 giid, 120 saddid, 120 sidditdid, 600 toe
Faces	4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagons
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	$\sqrt5 \approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Gafe xuthi
Abstract properties
Euler characteristic	4440
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The antifrustary hexacositetrishecatonicosachoron, or afxuthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 600 truncated octahedra. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four truncated octahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 16: Affixthi Regiment" (#684).