21. Note that with this definition a layer of a latin cube need not be a latin square . 22. Any Latin square can be reduced by permuting ( that is, reordering ) the rows and columns. 23. The encoding of the twelve letters are formed from three Latin squares that are orthogonal to each other. 24. Finally, we can combine these two equivalence operations : two Latin squares are said to be paratopy classes. 25. Completed games are always a type of Latin square with an additional constraint on the contents of individual regions. 26. You might be interested in Latin square , a correct sudoku grid is a special kind of Latin square. 27. You might be interested in Latin square, a correct sudoku grid is a special kind of Latin square . 28. It is based on an idea of Latin squares described by the mathematician Leonhard Euler in the 18th century. 29. How these lists and objects apply to each chapter is governed by an array called a Graeco-Latin square . 30. Of the 576 Latin squares , 288 are solutions of the 2? version of Sudoku, sometimes called Shi Doku.