Elongated pyramid

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Elongated pyramid
Elongated pentagonal pyramid.png
Example: pentagonal form
Faces n triangles
n squares
1 n-gon
Edges 4n
Vertices 2n + 1
Symmetry group Cnv, [n], (*nn)
Rotation group Cn, [n]+, (nn)
Dual polyhedron self-dual
Properties convex

In geometry, the elongated pyramids are an infinite set of polyhedra, constructed by adjoining an n-gonal pyramid to an n-gonal prism. Along with the set of pyramids, these figures are topologically self-dual.

Contents

There are three elongated pyramids that are Johnson solids:

Higher forms can be constructed with isosceles triangles.

Forms

namefaces
Elongated triangular pyramid.png elongated triangular pyramid (J7)3+1 triangles, 3 squares
Elongated square pyramid.png elongated square pyramid (J8)4 triangles, 4+1 squares
Elongated pentagonal pyramid.png elongated pentagonal pyramid (J9)5 triangles, 5 squares, 1 pentagon

See also

References