Inverted retropental prismatointercepted dishecatonicosachoron

Inverted retropental prismatointercepted dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Irp panady
Elements
Cells	120 gike, 720 stip, 120 gaddid
Faces	2400 triangles, 1800 squares, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	720
Measures (edge length 1)
Circumradius	$\sqrt{5-2\sqrt5} \approx 0.72654$
Number of external pieces	140640
Level of complexity	356
Related polytopes
Army	Rox
Regiment	Rigfix
Conjugate	Paphiny
Convex core	Joined hexacosichoron
Abstract & topological properties
Euler characteristic	2520
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The inverted retropental prismatointercepted dishecatonicosachoron, or irp panady, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 720 pentagrammic prisms, and 120 great dodecicosidodecahedra. Two great icosahedra, ten pentagrammic prisms, and ten great dodecicosidodecahedra join at each vertex.

Gallery

Vertex coordinates

The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.

External links

• Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#132).