Great retrofrustary pentishecatonicosachoron

Great retrofrustary pentishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Girfophi
Elements
Cells	120 qrid, 120 gidditdid, 120 srid, 120 sidditdid, 120 quitdid
Faces	4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 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	None
Abstract & topological properties
Euler characteristic	4560
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great retrofrustary pentishecatonicosachoron, or girfophi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small rhombicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 quasitruncated dodecadodecahedra. Two quasirhombicosidodecahedra, two great ditrigonal dodecicosidodecahedra, two small rhombicosidodecahedra, two small ditrigonal dodecicosidodecahedra, 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" (#729).