Blended dodecahedron

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Blended dodecahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol
Elements
Faces12 skew pentagons
Edges60
Vertices40
Related polytopes
ArmyDope
Petrie dualBlended Petrial 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(2,3,3)

The blended dodecahedron, or skew dodecahedron, is a regular skew polyhedron in 4D Euclidean space. It can be constructed as the blend of a dodecahedron and a digon.

The blended dodecahedron and its Petrie dual, the Petrial blended dodecahedron are both realizations of the same underlying abstract regular polytope, however they are distinct as realizations.

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