Small supersemicupola

The small supersemicupola is 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 is self-intersecting. It was discovered by Mason Green in 2005. Most acrons containing the number "7" have no known acrohedron, so the existence of a 7-7-3 acrohedron is rather unusual.