Small supersemicupola

The small supersemicupola is the first known example of a 7-7-3 acrohedron, i.e. a polyhedron with all regular faces that has two heptagons and a triangle meeting at a vertex. It was discovered by Mason Green in 2005 along with the great supersemicupola, a 7/2-7/2-3 acrohedron. Most acrons containing heptagons have no known acrohedron, so the existence of a 7-7-3 acrohedron is rather unusual.

As the name suggests, the small supersemicupola bears similarities to a heptagrammic semicupola (cuploid). Like the semicupolae, it is non-orientable.

The shape is part of a larger family of regular-faced polyhedra formed using Green's rules.