In geometry, the gyroelongated square cupola is one of the Johnson solids (J23). As the name suggests, it can be constructed by gyroelongating a square cupola (J4) by attaching an octagonal antiprism to its base. It can also be seen as a gyroelongated square bicupola (J45) 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
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