| Gyroelongated square cupola | |
|---|---|
| Type | Johnson J22 - J23 - J24 |
| Faces | 3.4+8 triangles 1+4 squares 1 octagon |
| Edges | 44 |
| Vertices | 20 |
| Vertex configuration | 4(3.43) 2.4(33.8) 8(34.4) |
| Symmetry group | C4v |
| Dual polyhedron | - |
| Properties | convex |
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.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
The dual of the gyroelongated square cupola has 25 faces: 8 kites, 4 rhombi, and 8 quadrilaterals.
| Dual gyroelongated square cupola | Net of dual |
|---|---|