Greco-Latin square

plural Greco-Latin squares

1. 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.

   Table 3.3.3.1 shows a Greco-Latin square with four treatments.

   2018, Reza Hoshmand, Design of Experiments for Agriculture and the Natural Sciences, page 48

   2 more examples

   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, Natalia Juristo, Ana M. Moreno, Basics of Software Engineering Experimentation, page 381

   Since we now have repeated ordered pairs, the square above is not a Greco-Latin square.

   2012, Jason Rosenhouse, Laura Taalman, Taking Sudoku Seriously, page 43