Blended Petrial dodecahedron

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Blended Petrial dodecahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol,
Elements
Faces12 skew decagons
Edges60
Vertices40
Related polytopes
ArmyDope
Petrie dualBlended dodecahedron
Convex hullDodecahedral prism
Abstract & topological properties
Flag count240
Euler characteristic-8
Schläfli type{10,3}
OrientableYes
Genus5
Properties
SymmetryH3×A1, order 240
ConvexNo
Dimension vector(1,3,3)

The blended Petrial dodecahedron or skew Petrial dodecahedron is a regular skew polyhedron in 4D Euclidean space. It can be constructed as the Petrial of the blended dodecahedron or as the blend of the Petrial dodecahedron with a line segment. It has 12 skew decagonal faces. It is abstractly self-Petrie.

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