Great invertifrustary pentishecatonicosachoron

Great invertifrustary pentishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Giffophi
Elements
Cells	120 qrid, 120 giddy, 120 sird, 120 siid, 120 quitdid
Faces	2400 triangles, 5400 squares, 1440 pentagrams, 2400 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	Sifophi
Abstract & topological properties
Euler characteristic	3120
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great invertifrustary pentishecatonicosachoron, or giffophi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great dodecicosahedra, 120 small rhombidodecahedra, 120 small icosicosidodecahedra, and 120 quasitruncated dodecadodecahedra. Two quasirhombicosidodecahedra, two great dodecicosahedra, two small rhombidodecahedra, two small icosicosidodecahedra, and four quasitruncated dodecadodecahedra 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" (#733).