Small invertidipentary hexacosihecatonicosidishecatonicosachoron

Small invertidipentary hexacosihecatonicosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Side pixhidy
Elements
Cells	120 sissid, 600 tut, 120 ided, 120 saddid
Faces	2400 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges	3600+3600
Vertices	1440
Measures (edge length 1)
Circumradius	${\sqrt {4+{\sqrt {5}}}}\approx 2.49721$
Related polytopes
Army	Semi-uniform Tex
Regiment	Padohi
Conjugate	Great invertidipentary hexacosihecatonicosidishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	1680
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small invertidipentary hexacosihecatonicosidishecatonicosachoron, or side pixhidy, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 truncated tetrahedra, 120 icosidodecadodecahedra, and 120 small dodecicosidodecahedra. One small stellated dodecahedron, five truncated tetrahedra, five icosidodecadodecahedra, and five small dodecicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the prismatodishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 21: Padohi Regiment" (#1020).