Polyhedra that use Rhombic Panels (either mathematically valid or "near miss").

Geomag panel sets include the ever-useful Triangles, Squares, and Pentagons, but also the 60° Rhombi (a.k.a. "diamonds"). These rhombi are the equivalent of two equilateral triangles attached together. These panels may not get as much usage as the others, so this category provides a convenient direct listing of models that feature rhombic panels.

For more info see (for example) Alex Doskey's page on Convex Diamond-Regular Polyhedra