Greco-Latin square noun1 •A form of Latin square formed by the superposition of two Latin squares that do not lead to the same composite value appearing in any of the squares of the result.Bose and Shrikhande then applied these rules and were able to build a Greco-Latin square of order 22. This disproved Euler's conjecture, as 22 is an even number not divisible by four. — 2013 formsGreco-Latin squares