Cupola

A cupola (plural cupolas or cupolae) is a segmentohedron joining an n-sided upper base to a 2n-sided lower base. Three cupolas are CRF, the triangular cupola, square cupola and pentagonal cupola.

Convex cupolas

 * Triangular prism (fastigium) (2-cupola) (digons degenerate to edges)
 * Triangular cupola (3-cupola)
 * Square cupola (4-cupola)
 * Pentagonal cupola (5-cupola)
 * Hexagonal cupola (6-cupola) (CRF version is flat)
 * Heptagonal cupola (7-cupola) (CRF version is hyperbolic)
 * Octagonal cupola (8-cupola) (CRF version is hyperbolic)

Star cupolas
These connect a m/n-gon to a 2m/n-gon


 * Retrograde square cupola (4/3-cupola)
 * Retrograde pentagrammic cupola (5/3-cupola)
 * Great heptagrammic cupola (7/3-cupola)
 * Retrograde heptagrammic cupola (7/5-cupola)
 * Octagrammic cupola (8/3-cupola)
 * Retrograde octagrammic cupola (8/5-cupola)

Cuploids
If n is even, a m/n-cupola has a double-covered lower base, making it degenerate. Removing the degenerate base results in a legitimate polyhedron, called a cuploid.


 * Tetrahemihexahedron (3/2-cuploid)
 * Pentagrammic cuploid (5/2-cuploid)
 * Retrograde pentagonal cuploid (5/4-cuploid)
 * Heptagrammic cuploid (7/2-cuploid)
 * Retrograde great heptagrammic cuploid (7/4-cuploid)