Blended great icosahedron

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Blended great icosahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol
Elements
Faces20 skew triangles
Edges60
Vertices24
Petrie polygons12 skew decagrams
Holes24 skew pentagons
Related polytopes
ArmyIpe
Petrie dualBlended Petrial great icosahedron
φ 2 Blended 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
ConvexNo
Dimension vector(2,3,3)

The blended great icosahedron is a regular skew polyhedron in 4D Euclidean space. It can be constructed as the blend of a great icosahedron and a dyad. Its second-order facetting is the blended small stellated dodecahedron and its Petrial is the Petrial blended great icosahedron.

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