Rectified grand stellated hecatonicosachoric alterprism

Rectified grand stellated hecatonicosachoric alterprism
Rank	5
Type	Scaliform
Notation
Bowers style acronym	Ragashia
Coxeter diagram	oo5/2xo5ox5/2oo&#x
Elements
Tera	2 rectified grand stellated hecatonicosachora, 240 great dodecahedron atop dodecadodecahedron
Cells	240 great dodecahedra, 240 dodecadodecahedra, 1440 pentagonal antiprisms, 1440 pentagrammic pyramids
Faces	1440 pentagrams, 2880 pentagons, 7200 triangles
Edges	3600+7200
Vertices	1440
Vertex figure	Pentagrammic fastegium
Measures (edge length 1)
Circumradius	${\frac {\sqrt {4+{\sqrt {5}}}}{2}}\approx 1.24861$
Height	${\sqrt {3{\sqrt {5}}-6}}\approx 0.84155$
Related polytopes
Army	Semi-uniform roxip
Regiment	Ragashia
Properties
Symmetry	H4×A1, order 28800
Convex	No
Nature	Tame

The rectified grand stellated hecatonicosachoric alterprism is a scaliform segmentoteron. It consists of two rectified grand stellated hecatonicosachora as bases, joined by 240 great dodecahedron atop dodecadodecahedron segmentochora.

Related polychora

This polychoron is isomorphic, but not conjugate, to the rectified great hecatonicosachoric alterprism.

External links

• Klitzing, Richard. "ragashia".