Encyclopaedia of DesignTheory: Latin squares
|Experimental||Other designs||Math properties||Stat properties|
If two such partitions are orthogonal, then they give X the structure of a square grid, where the parts of P1 are the rows of the grid and the parts of P2 are the columns.
Now let P3 be a third partition orthogonal to both P1 and P2. Then we obtain a Latin square by associating a symbol with each part of P3, and placing in each plot the symbol of the part containing it.
This works the other way too. Given a Latin square, take the plots to be the cells of the array and the partitions to correspond to rows, columns, and symbols.
Table of contents | Glossary | Topics | Bibliography | History
Peter J. Cameron
16 April 2002