Antifrustary tetrishecatonicosachoron

The antifrustary tetrishecatonicosachoron, or afuthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. Two quasirhombicosidodecahedra, two great icosicosidodecahedra, two small rhombicosidodecahedra, and two small icosicosidodecahedra join at each vertex.

Antifrustary tetrishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Afuthi
Elements
Cells	120 qrid, 120 giid, 120 srid, 120 siid
Faces	4800 triangles, 3600 squares, 2400 hexagons, 1440 pentagons, 1440 pentagrams
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	$\sqrt5 \approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	None
Abstract & topological properties
Euler characteristic	2400
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 16: Affixthi Regiment" (#668).