Hollow small stellated dodecahedral gyrotrigonism

Hollow small stellated dodecahedral gyrotrigonism
(OFF file)
Rank	5
Type	Scaliform
Notation
Bowers style acronym	Hossidgyt
Coxeter diagram	xoo5/2oxo5/2oox5/2*a&#x
Elements
Tera	36 pentagrammic antiprismatic pyramids 3 hollow small stellated dodecahedral alterprisms
Cells	72 pentagrammic pyramids 180 tetrahedra 36 pentagrammic antiprisms
Faces	36 pentagrams 120+360 triangles
Edges	90+180
Vertices	36
Vertex figure	Pentagrammic gyrobicuploidic ring
Measures (edge length 1)
Circumradius	${\sqrt {\frac {11+{\sqrt {5}}}{24}}}\approx 0.74263$
Army	Semi-uniform Trike
Abstract & topological properties
Orientable	No
Properties
Symmetry	H3×A2, order 720
Convex	No
Nature	Tame

The hollow small stellated dodecahedral gyrotrigonism or hossidgyt is a scaliform 5-polytope. It consists of 3 hollow small stellated dodecahedral alterprisms and 36 pentagrammic antiprismatic pyramids. 2 hollow small stellated dodecahedral alterprisms and 11 pentagrammic antiprismatic pyramids join at each vertex.

External links

• Klitzing, Richard. "hossidgyt".