Ingeometry, abicupola is a solid formed by connecting twocupolae on their bases. Here, two classes of bicupola are included because each cupola (bicupola half) is bordered by alternating triangles and squares. If similar faces are attached together the result is anorthobicupola; if squares are attached to triangles it is agyrobicupola.
| Symmetry | Picture | Description |
|---|---|---|
| D3h [2,3] *223 |  | Triangular orthobicupola (J27): 8 triangles, 6 squares.[1][2] Its dual is thetrapezo-rhombic dodecahedron |
| D4h [2,4] *224 |  | Square orthobicupola (J28): 8 triangles, 10 squares.[2] |
| D5h [2,5] *225 |  | Pentagonal orthobicupola (J30): 10 triangles, 10 squares, 2 pentagons.[2] |
| Dnh [2,n] *22n | n-gonal orthobicupola:2n triangles,2n rectangles, 2n-gons |
An-gonal gyrobicupola has the same topology as an-gonal rectified antiprism,Conway polyhedron notation,aAn.
| Symmetry | Picture | Description |
|---|---|---|
| D2d [2+,4] 2*2 |  | Gyrobifastigium (J26) ordigonal gyrobicupola: 4 triangles, 4 squares.[citation needed] |
| D3d [2+,6] 2*3 |  | Triangular gyrobicupola orcuboctahedron: 8 triangles, 6 squares.[1][2] Its dual is therhombic dodecahedron. |
| D4d [2+,8] 2*4 |  | Square gyrobicupola (J29): 8 triangles, 10 squares.[2] Its dual is the elongatedtetragonal trapezohedron |
| D5d [2+,10] 2*5 |  | Pentagonal gyrobicupola (J31): 10 triangles, 10 squares, 2 pentagons.[2] Its dual is the elongatedpentagonal trapezohedron |
| Dnd [2+,2n] 2*n | n-gonal gyrobicupola:2n triangles,2n rectangles, 2n-gons. |