Elongated square pyramid

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Elongated square pyramid
Elongated square pyramid.png
Type Johnson
J7 - J8 - J9
Faces 4 triangles
1+4 squares
Edges 16
Vertices 9
Vertex configuration 4(43)
Symmetry group C4v, [4], (*44)
Rotation group C4, [4]+, (44)
Dual polyhedron self
Properties convex
Elongated Square Pyramid Net.svg

In geometry, the elongated square pyramid is one of the Johnson solids (J8). As the name suggests, it can be constructed by elongating a square pyramid (J1) by attaching a cube to its square base. Like any elongated pyramid, it is topologically (but not geometrically) self-dual.

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 square pyramid has 9 faces: 4 triangular, 1 square and 4 trapezoidal.

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

Related polyhedra and honeycombs[edit]

The elongated square pyramid can form a tessellation of space with tetrahedra,[2] similar to a modified tetrahedral-octahedral honeycomb.

See also[edit]


External links[edit]