Blended Petrial great icosahedron

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Blended Petrial great icosahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{3,5/2}π#{}
Elements
Faces12 skew decagrams
Edges60
Vertices24
Vertex figurePentagon
Petrie polygons20 skew triangles
Related polytopes
Petrie dualBlended great icosahedron
Convex hullIcosahedral prism
Abstract & topological properties
Flag count240
Euler characteristic-24
Schläfli type{10,5}
OrientableYes
Genus13
Properties
ConvexNo
Dimension vector(1,3,3)

The blended Petrial great icosahedron is a regular skew polyhedron in 4D Euclidean space. It can be constructed as the blend of a Petrial great icosahedron and a dyad or as the Petrial of the blended great icosahedron.

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