Small retrofrustary trishecatonicosachoron

Small retrofrustary trishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sirfthi
Elements
Cells	120 qrid, 120 sidditdid, 120 sird
Faces	2400 triangles, 3600 squares, 1440 pentagrams, 1440 decagons
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	${\sqrt {5}}\approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Gafthi
Abstract & topological properties
Euler characteristic	–2280
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small retrofrustary trishecatonicosachoron, or sirfthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 small rhombidodecahedra. Two quasirhombicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and two small rhombidodecahedra 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" (#676).