Blended Petrial icosahedron

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Blended Petrial icosahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{3,5}π#{}
Elements
Faces12 skew decagons
Edges60
Vertices24
Vertex figurePentagon
Petrie polygons20 skew triangles
Related polytopes
ArmyIpe
Petrie dualBlended icosahedron
Convex hullIcosahedral prism
Abstract & topological properties
Flag count240
Euler characteristic-24
Schläfli type{10,5}
OrientableYes
Genus13
Properties
SymmetryH3×A1, order 240
ConvexNo
Dimension vector(1,3,3)

The blended Petrial icosahedron is a regular skew polyhedron in 4-dimensional Euclidean space. It is the result of blending the Petrial icosahedron with a dyad.

Related polytopes[edit | edit source]

In four dimensions it is the kappa of the dodecahedron.

External links[edit | edit source]