Sphenocorona

The sphenocorona, or waco, is one of the 92 Johnson solids (J86). It consists of 2+2+4+4 triangles and 2 squares.

It is one of several polyhedra near the end of the list of Johnson solids with no obvious relation to any of the uniform polyhedra. The name is derived from "spheno" (meaning a wedge-like arrangement of two "lunes", where each lune consists of a square attached to two triangles) and "corona" denoting a crown-like structure composed of 8 triangles.

Related polyhedra
A square pyramid can be attached to one of the sphenocorona's square faces to form the augmented sphenocorona.

Variations
The vertex figure of the 4D grand antiprism is topologically equivalent to this polyhedron, with the most notable change being the edge joining two squares becomes an edge of length (1+$\sqrt{2}$)/2 connecting two trapezoids. This vertex figure is also equivalent to a regular icosahedron with two adjacent vertices removed.