Small retrofrustary prismatohexacositetrishecatonicosachoron

Small retrofrustary prismatohexacositetrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sirf puxthi
Elements
Cells	120 did, 600 oct, 120 gaddid, 120 giddy, 120 srid, 1200 hip
Faces	4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 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	Gifpuxthi
Abstract & topological properties
Euler characteristic	3840
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small retrofrustary prismatohexacositetrishecatonicosachoron, or sirf puxthi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great dodecicosidodecahedra, 120 great dodecicosahedra, 120 small rhombicosidodecahedra, and 1200 hexagonal prisms. One dodecadodecahedron, one octahedron, two great dodecicosidodecahedra, two great dodecicosahedra, two small rhombicosidodecahedra, and four hexagonal prisms 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" (#697).