User:Tomruen/Convex regular-faced polyhedra with conditional edges

In geometry there are 78 nonconcave polyhedra which made from regular polygon, besides the 91 Johnson solids, the 13 Archimedean solids, and 5 platonic solids, which include 180 degree dihedral angle edges, excluding vertices with 0 degree angle defect.

The bulk of these polyhedra (the 71 containing a rhombus 3+3) were listed by Alex Doskey, Roger Kaufman, and Steve Waterman in 2006. The listing was independently produced and proven complete in 2010 by A. V. Timofeenko.

A conditional edge is an edge which can be removed which doesn't change the geometry of the polyhedron. Pairs of equilateral triangles for example merge into a rhombic face.