Online Playable Latin Squares
Latin Squares Instructions
Complete the grid so that the numbers 1, 2, 3, 4, 5 appear only once in each row and column.
Complete the grid so that the numbers 1, 2, 3, 4, 5 appear only once in each row and column.
Latin Squares 5 x 5
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Investigating Latin Squares
Latin squares are so named because the 18th century Swiss mathematician Leonhard Euler used Latin letters as labels in his paper On Magic Squares
Arthur Cayley (1821-1892), Ronald A Fisher (1890-1962), and others have applied Latin Squares in the fields of agronomy, computer science, number theory, graph theory, coding theory, and the design and statistical analysis of scientific experiments.
Arthur Cayley (1821-1892), Ronald A Fisher (1890-1962), and others have applied Latin Squares in the fields of agronomy, computer science, number theory, graph theory, coding theory, and the design and statistical analysis of scientific experiments.
Structurally distinct means that the squares cannot be made identical by means of rotation, reflection, and/or permutation of the symbols
1, 1, 1, 12, 192, 145164, 1524901344
1, 1, 1, 12, 192, 145164, 1524901344
Read about Latin Squares
Using the digits 1 to 3 complete the Latin Square.
Each row and column must contain the numbers1 to 3. There are 12 Latin Squares of order 3 (3 x 3) that can be made. There are 3 x 2 x 1 = 6 ways to put the digits in the first row, and then 2 ways to complete the first column. This completely determines the square, so there are 6 x 2 = 12 possibilities |
Puzzles based on Latin Squares
Puzzles consisting of Latin squares with additional constraints have been around for centuries
Strimko KenKen Futoshiki
Jiguso Sudoku Kropki
Puzzles consisting of Latin squares with additional constraints have been around for centuries
Strimko KenKen Futoshiki
Jiguso Sudoku Kropki