Square cupola

In geometry, the square cupola (sometimes called lesser dome) the cupola with octagonal base. In the case of edges are equal in length, it is the Johnson solid, a convex polyhedron with faces are regular. It can be considered as half of the rhombicuboctahedron. It can be used to construct many polyhedrons, particularly in other Johnson solids.

Square cupola
Type	Johnson J3 – J4 – J5
Faces	4 triangles 5 squares 1 octagon
Edges	20
Vertices	12
Vertex configuration	${\displaystyle 8\times (3\times 4\times 8)+4\times (3\times 4^{3})}$
Symmetry group	${\displaystyle C_{4v}}$
Properties	convex
Net