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A Latin square is an n x n array filled with n different symbols, where each symbol occurs exactly once in each row and column. They can be used in experimental design and represent the multiplication tables of quasigroups. Latin squares are divided into equivalence classes based on row/column permutations and symbol renaming. Their exact numbers grow extremely quickly as size n increases, though no simple formula is known. They have applications in coding theory, puzzles, and heraldry.
- Author
- cambyck
- Language
- EN