Invertifrustary prismatopentishecatonicosihexacosichoron

Invertifrustary prismatopentishecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ifpophix
Elements
Cells	120 did, 600 oct, 120 gidditdid 120 qrid, 120 siddy, 120 idtid, 1200 hip
Faces	4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	${\sqrt {5}}\approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Rifpixophi
Abstract & topological properties
Euler characteristic	6360
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The invertifrustary prismatopentishecatonicosihexacosichoron, or ifpophix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great ditrigonal dodecicosidodecahedra, 120 quasirhombicosidodecahedra, 120 small dodecicosahedra, 120 icosidodecatruncated icosidodecahedra, and 1200 hexagonal prisms. One dodecadodecahedron, one octahedron, two great ditrigonal dodecicosidodecahedra, two quasirhombicosidodecahedra, two small dodecicosahedra, four icosidodecatruncated icosidodecahedra, 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" (#750).