Hollow great dodecahemidodecahedral cupoliprism

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Hollow great dodecahemidodecahedral cupoliprism
Rank4
TypeScaliform
Notation
Bowers style acronymHog dhidicup
Coxeter diagramxo5/3xx5/3ox5/2*a&#x
Elements
Cells12 pentagrammic antiprisms, 24 pentagrammic cupolae
Faces120 triangles, 60 squares, 24 pentagrams, 12 decagrams
Edges120+120
Vertices60
Vertex figureFaceted rectangular frustum
Measures (edge length 1)
Circumradius
Related polytopes
ArmyIddip
RegimentHog dhidicup
ConjugateNo real conjugate
Abstract & topological properties
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The hollow great dodecahemidodecahedral cupoliprism or hog dhidicup is a scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic cupolae. Each vertex is met by 2 pentagrammic antiprisms and 6 pentagrammic cupolae. It can be formed by taking a great dodecahemidodecahedral prism, connecting corresponding pentagrams of both bases by pentagrammic antiprisms, connecting pentagrams to decagrams of the other base by pentagrammic cupolae, and removing all other cells.

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