Elongated pentagonal pyramid

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Elongated pentagonal pyramid
Elongated pentagonal pyramid.png
Type Johnson
J8 - J9 - J10
Faces 5 triangles
5 squares
1 pentagon
Edges 20
Vertices 11
Vertex configuration 5(42.5)
5(32.42)
Symmetry group C5v, [5], (*55)
Rotation group C5, [5]+, (55)
Dual polyhedron self
Properties convex
Net
Elongated Pentagonal Pyramid Net.svg

In geometry, the elongated pentagonal pyramid is one of the Johnson solids (J9). As the name suggests, it can be constructed by elongating a pentagonal pyramid (J2) by attaching a pentagonal prism to its base.

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]

Dual polyhedron[edit]

The dual of the elongated pentagonal pyramid has 11 faces: 5 triangular, 1 pentagonal and 5 trapezoidal.

Dual elongated pentagonal pyramid Net of dual
Dual elongated pentagonal pyramid.png Dual elongated pentagonal pyramid net.png

See also[edit]

External links[edit]


  1. ^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603 .