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). In such polyhedra, triamonds always come in pairs joined at their length-2 edges. There are 40 known convex triamond polyhedra, found by Roger Kaufman and others. All are achiral. It is not known if there are others.

List of convex triamond polyhedra
The following are all of the convex triamond polyhedra that are currently known. The categories are those given by Roger Kaufman.