Gyroelongated square bipyramid

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Gyroelongated square bipyramid
Gyroelongated square dipyramid.png
Type Johnson
J16 - J17 - J18
Faces 2.8 triangles
Edges 24
Vertices 10
Vertex configuration 2(34)
Symmetry group D4d, [2+,8], (2*4)
Rotation group D4, [2,4]+, (422)
Dual polyhedron Truncated square trapezohedron
Properties convex, deltahedron

In geometry, the gyroelongated square bipyramid is one of the Johnson solids (J17). As the name suggests, it can be constructed by gyroelongating an octahedron (square bipyramid) by inserting a square antiprism between its congruent halves. It is a deltahedron.

A Johnson solid is one of 92 strictly convex regular-faced polyhedra, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. They are named by Norman Johnson who first enumerated the set in 1966.

Dual polyhedron[edit]

The dual of the gyroelongated square bipyramid is a square truncated trapezohedron with 10 faces: 8 pentagons and 2 square.

Dual gyroelongated square bipyramid Net of dual
Dual gyroelongated square dipyramid.png Dual gyroelongated square dipyramid net.png

See also[edit]

External links[edit]