Retrofrustary hecatonicosihexacosidishecatonicosachoron

Retrofrustary hecatonicosihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Rafhixady
Elements
Cells	120 gird, 120 siddy, 120 quitdid, 600 toe
Faces	5400 squares, 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	Rafthix
Abstract & topological properties
Euler characteristic	120
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The retrofrustary hecatonicosihexacosidishecatonicosachoron, or rafhixady, is a nonconvex uniform polychoron that consists of 120 great rhombidodecahedra, 120 small dodecicosahedra, 120 quasitruncated dodecadodecahedra, and 600 truncated octahedra. Two great rhombidodecahedra, two small dodecicosahedra, four quasitruncated dodecadodecahedra, and four truncated octahedra 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" (#739).