Hollow great dodecahemidodecahedral cupoliprism

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.

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

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