Antifrustary prismatotrishecatonicosihexacosichoron

The antifrustary prismatotrishecatonicosihexacosichoron, or afpathix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 quasirhombicosidodecahedra, 120 quasirhombicosidodecahedra, and 1200 hexagonal prisms. One dodecadodecahedron, one octahedron, two quasirhombicosidodecahedra, two great icosicosidodecahedra, and four hexagonal prisms join at each vertex.

Antifrustary prismatotrishecatonicosihexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Afpathix
Elements
Cells	120 did, 600 oct, 120 qrid, 120 giid, 1200 hip
Faces	4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	$\sqrt5 \approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Afpixthi
Abstract & topological properties
Euler characteristic	2520
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 16: Affixthi Regiment" (#691).