Bicupola
Solid made from 2 cupolae joined base-to-base
From Wikipedia, the free encyclopedia
In geometry, a bicupola is a solid formed by connecting two cupolae 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 an orthobicupola; if squares are attached to triangles it is a gyrobicupola.
Forms
In the first column of the two following tables, the symbols are Schoenflies, Coxeter, and orbifold notation, in this order.
Set of orthobicupolae
| Symmetry | Picture | Description |
|---|---|---|
| D3h [2,3] *223 |
 |
Triangular orthobicupola (J27): 8 triangles, 6 squares.[1][2] Its dual is the trapezo-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, 2 n-gons |
Set of gyrobicupolae
An n-gonal gyrobicupola has the same topology as an n-gonal rectified antiprism, Conway polyhedron notation: aAn.[clarification needed]
| Symmetry | Picture | Description |
|---|---|---|
| D2d [2+,4] 2*2 |
 |
Gyrobifastigium (J26) or digonal gyrobicupola: 4 triangles, 4 squares.[3] |
| D3d [2+,6] 2*3 |
 |
Triangular gyrobicupola or cuboctahedron: 8 triangles, 6 squares.[1][2] Its dual is the rhombic dodecahedron. |
| D4d [2+,8] 2*4 |
 |
Square gyrobicupola (J29): 8 triangles, 10 squares.[2] Its dual is the elongated tetragonal trapezohedron |
| D5d [2+,10] 2*5 |
 |
Pentagonal gyrobicupola (J31): 10 triangles, 10 squares, 2 pentagons.[2] Its dual is the elongated pentagonal trapezohedron |
| Dnd [2+,2n] 2*n |
n-gonal gyrobicupola: 2n triangles, 2n rectangles, 2 n-gons. |