Elongated triangular pyramid

In geometry, the elongated triangular pyramid is one of the Johnson solids (J7). As the name suggests, it can be constructed by elongating a tetrahedron by attaching a triangular prism to its base. Like any elongated pyramid, the resulting solid is topologically (but not geometrically) self-dual.

Elongated triangular pyramid
TypeJohnson
J6J7J8
Faces1+3 triangles
3 squares
Edges12
Vertices7
Vertex configuration1(33)
3(3.42)
3(32.42)
Symmetry groupC3v, [3], (*33)
Rotation groupC3, [3]+, (33)
Dual polyhedronself
Propertiesconvex
Net

A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (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.

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