Convex triamond polyhedron

A convex triamond polyhedron is a strictly convex polyhedron with all regular faces of edge length 1 except for at least one "triamond," defined as a trapezoid with edge lengths 2-1-1-1 (a blend of three coplanar equilateral triangles). There are 40 known convex triamond polyhedra, found by Roger Kaufman and others.