Bicupola


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 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 gyrobicupolae

An -gonal gyrobicupola has the same topology as an -gonal rectified antiprism, Conway polyhedron notation:.
SymmetryPictureDescription
Gyrobifastigium 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 trapezohedron
Pentagonal gyrobicupola : 10 triangles, 10 squares, 2 pentagons. Its dual is the elongated pentagonal trapezohedron
gyrobicupola: triangles, rectangles, 2.