Pentakis dodecahedral tegum

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Pentakis dodecahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2o5m3m ()
Elements
Cells120 sphenoids
Faces60+60 isosceles triangles, 120 scalene triangles
Edges24+30+40+60
Vertices2+12+20
Vertex figures2 pentakis dodecahedra
 20 hexagonal tegums
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated icosahedral prism
ConjugateGreat stellapentakis dodecahedral tegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexYes
NatureTame

The pentakis dodecahedral tegum, also called the pentakis dodecahedral bipyramid, is a convex isochoric polychoron with 120 sphenoids as cells. As the name suggests, it can be constructed as a tegum based on the pentakis dodecahedron.

In the variant obtained as the dual of the uniform truncated icosahedral prism, if the short edges of the pentakis dodecahedron have length 1, its height is .