Gyroelongated square cupola


In geometry, the gyroelongated square cupola is one of the Johnson solids. As the name suggests, it can be constructed by gyroelongating a square cupola by attaching an octagonal antiprism to its base. It can also be seen as a gyroelongated square bicupola with one square bicupola removed.

Area and volume

The surface area is
The volume is the sum of the volume of a square cupola and the volume of an octagonal prism,

Dual polyhedron

The dual of the gyroelongated square cupola has 20 faces: 8 kites, 4 rhombi, and 8 pentagons.
Dual gyroelongated square cupolaNet of dual