Antifrustary prismatotetrishecatonicosachoron

Antifrustary prismatotetrishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Afupthi
Elements
Cells	120 qrid, 120 giid, 120 saddid, 120 sidditdid, 1200 hip
Faces	4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 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	Gafupthi
Abstract properties
Euler characteristic	4440
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The antifrustary prismatotetrishecatonicosachoron, or afupthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 1200 hexagonal prisms. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four hexagonal prisms 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" (#685).