Gyroelongated square cupola
| 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 |
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 quadrilaterals.
| Dual gyroelongated square cupola | Net of dual |
|---|---|
 |
 |
External links
- Weisstein, Eric W., "Johnson solid", MathWorld.
- Weisstein, Eric W., "Gyroelongated square cupola", MathWorld.
- ↑ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.