# Gyroelongated square cupola

Gyroelongated square cupola
TypeJohnson
J22 - J23 - J24
Faces3x4+8 triangles
1+4 squares
1 octagon
Edges44
Vertices20
Vertex configuration4(3.43)
2.4(33.8)
8(34.4)
Symmetry groupC4v
Dual polyhedron-
Propertiesconvex
Net
An unfolded gyroelongated square cupola
An unfolded gyroelongated square cupola, faces colored by symmetry

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.

A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]

## Dual polyhedron

The dual of the gyroelongated square cupola has 25 faces: 8 kites, 4 rhombi, and 8 pentagons.

Dual gyroelongated square cupola Net of dual