Gyroelongated triangular cupola
|Gyroelongated triangular cupola|
J21 - J22 - J23
In geometry, the gyroelongated triangular cupola is one of the Johnson solids (J22). It can be constructed by attaching a hexagonal antiprism to the base of a triangular cupola (J3). This is called "gyroelongation", which means that an antiprism is joined to the base of a solid, or between the bases of more than one solid.
The gyroelongated triangular cupola can also be seen as a gyroelongated triangular bicupola (J44) with one triangular cupola removed. Like all cupolae, the base polygon has twice as many sides as the top (in this case, the bottom polygon is a hexagon because the top is a triangle).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Dual polyhedron 
The dual of the gyroelongated triangular cupola has 15 faces: 6 kites, 3 rhombi, and 6 quadrilaterals.
|Dual gyroelongated triangular cupola||Net of dual|
- Weisstein, Eric W., "Johnson solid", MathWorld.
- Weisstein, Eric W., "Gyroelongated triangular cupola", MathWorld.
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