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 SymmetryPictureDescriptionTriangular orthobicupola (): 8 triangles, 6 squares. Its dual is the trapezo-rhombic dodecahedronSquare orthobicupola (): 8 triangles, 10 squares.Pentagonal orthobicupola (): 10 triangles, 10 squares, 2 pentagons. orthobicupola: triangles, rectangles, 2
Set of gyrobicupolae An -gonal gyrobicupola has the same topology as an -gonal rectified antiprism, Conway polyhedron notation: . SymmetryPictureDescriptionGyrobifastigium () or digonal gyrobicupola: 4 triangles, 4 squares.Triangular gyrobicupola or cuboctahedron: 8 triangles, 6 squares. Its dual is the rhombic dodecahedron.Square gyrobicupola (): 8 triangles, 10 squares. Its dual is the elongated tetragonal trapezohedronPentagonal gyrobicupola (): 10 triangles, 10 squares, 2 pentagons. Its dual is the elongated pentagonal trapezohedron gyrobicupola: triangles, rectangles, 2 .
See also Elongated cupola Gyroelongated cupola Elongated bicupola Gyroelongated bicupola Rotunda
References ; Table III, line 26