Gyroelongated pentagonal pyramid

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Gyroelongated pentagonal pyramid
Gyroelongated pentagonal pyramid
Type Johnson
J10 - J11 - J12
Faces 3.5 triangles
1 pentagon
Edges 25
Vertices 11
Vertex configuration 5(33.5)
1+5(35)
Symmetry group C5v
Dual -
Properties convex

In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (J11). As its name suggests, it is formed by taking a pentagonal pyramid and "gyroelongating" it, which in this case involves joining a pentagonal antiprism to its base. It can also be seen as an icosahedron with the top (a pentagonal pyramid, J2) chopped off by a plane.

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


net for gyroelongated pentagonal pyramid

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