| Set of gyroelongated bicupolae | |
| Label1: | Faces |
| Data1: | 6n triangles 2n squares 2 n-gon |
| Label2: | Edges |
| Data2: | 16n |
| Label3: | Vertices |
| Data3: | 6n |
| Label4: | Symmetry group |
| Data4: | Dn, [n,2]+, (n22) |
| Label5: | Rotation group |
| Data5: | Dn, [n,2]+, (n22) |
| Label6: | Properties |
| Data6: | convex, chiral |
In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The triangular, square, and pentagonal gyroelongated bicupola are three of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form.
Adjoining two triangular prisms to a square antiprism also generates a polyhedron, but not a Johnson solid, as it is not convex. The hexagonal form is also a polygon, but has coplanar faces. Higher forms can be constructed without regular faces.
| Image cw | Image ccw | Name | Faces | |
|---|---|---|---|---|
| 4 triangles, 4 squares | ||||
| Gyroelongated triangular bicupola (J44) | 6+2 triangles, 6 squares | |||
| Gyroelongated square bicupola (J45) | 8 triangles, 8+2 squares | |||
| Gyroelongated pentagonal bicupola (J46) | 30 triangles, 10 squares, 2 pentagon | |||
| 12 triangles, 24 squares, 2 hexagon |