Blended great dodecahedron

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Blended great dodecahedron
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol
Elements
Faces12 skew pentagons
Edges60
Vertices24
Petrie polygons10 skew hexagons
Holes20 skew triangles
Related polytopes
ArmyIpe
Petrie dualBlended Petrial great dodecahedron
φ 2 Blended icosahedron
Convex hullIcosahedral prism
Abstract & topological properties
Flag count240
Euler characteristic-24
Schläfli type{10,5}
OrientableYes
Genus13
Properties
SymmetryH3×A1, order 240
ConvexNo

The blended great dodecahedron is a regular skew polyhedron in 4D Euclidean space. It can be constructed as the blend of an great dodecahedron and a dyad, or as the second-order facetting of the blended icosahedron.

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