Gyroelongated square bipyramid
|Gyroelongated square bipyramid|
J16 - J17 - J18
|Symmetry group||D4d, [2+,8], (2*4)|
|Rotation group||D4, [2,4]+, (422)|
|Dual polyhedron||Truncated square trapezohedron|
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.
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|
- Weisstein, Eric W., "Johnson solid", MathWorld.
- Weisstein, Eric W., "Gyroelongated square bipyramid", MathWorld.
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