Medial retrofrustary pentishecatonicosachoron

Medial retrofrustary pentishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Mirfophi
Elements
Cells	120 giid, 120 gaddid, 120 siid, 120 saddid, 120 idtid
Faces	4800 triangles, 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	None
Abstract & topological properties
Euler characteristic	2760
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The medial retrofrustary pentishecatonicosachoron, or mirfophi, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 120 great dodecicosidodecahedra, 120 small icosicosidodecahedra, 120 small dodecicosidodecahedra, and 120 icosidodecatruncated icosidodecahedra. Two great icosicosidodecahedra, two great dodecicosidodecahedra, two small icosicosidodecahedra, two small dodecicosidodecahedra, and four icosidodecatruncated icosidodecahedra 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" (#730).