Can we tile the plane with mutually similar and mutually non-congruent copies of some polygon that is not itself a tile? – mathoverflow.netNandakumar R15d agoRef 1: Tiling with similar tiles Ref 2: Tiling the plane with pair-wise non-congruent and mutually similar triangles Ref 3: Tiling the plane with pair-wise non-congruent and mutually similar ...geometrymathematicstiling