Blended Petrial great dodecahedron

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Blended Petrial great dodecahedron
Rank3
Dimension4
TypeRegular
Elements
Faces20 skew hexagons
Edges60
Vertices24
Vertex figurePentagram
Petrie polygons12 skew pentagons
Related polytopes
ArmyIpe
Petrie dualBlended great dodecahedron
ConjugateBlended Petrial small stellated dodecahedron
Convex hullIcosahedral prism
Abstract & topological properties
Flag count240
Euler characteristic-16
Schläfli type{6,5}
OrientableYes
Genus9
Properties
SymmetryH3×A1, order 240
Flag orbits1
ConvexNo

The blended Petrial great dodecahedron is a regular skew polyhedron in 4-dimensional Euclidean space. It can be constructed as the blend of the Petrial great dodecahedron with a dyad, or as the Petrial of the blended great dodecahedron.

Related polytopes[edit | edit source]

The blended Petrial great dodecahedron and the medial triambic icosahedron are realizations of the same abstract polytope.

External links[edit | edit source]