Elongated pentagonal cupola

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Elongated pentagonal cupola
Elongated pentagonal cupola
Type Johnson
J19 - J20 - J21
Faces 5 triangles
3.5 squares
1 pentagon
1 decagon
Edges 45
Vertices 25
Vertex configuration 10(42.10)
10(3.43)
5(3.4.5.4)
Symmetry group C5v
Dual -
Properties convex

In geometry, the elongated pentagonal cupola is one of the Johnson solids (J20). As the name suggests, it can be constructed by elongating a pentagonal cupola (J5) by attaching a decagonal prism to its base. The solid can also be seen as an elongated pentagonal orthobicupola (J38) with its "lid" (another pentagonal cupola) removed.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

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