Category:Graeco-Latin Squares

This category contains results about Graeco-Latin Squares.
Definitions specific to this category can be found in Definitions/Graeco-Latin Squares.

A Graeco-Latin square is an amalgamation of $2$ orthogonal Latin squares into one.

This is conventionally (but not always) done by:

assigning one of the Latin squares to use Latin letters (that is, the conventional $\text A$ to $\text Z$)

assigning the other Latin squares to use lowercase Greek letters (that is, $\alpha$ to $\omega$).

In this way:

each Latin letter occurs once in each row and column

each Greek letter occurs once in each row and column

each Latin and Greek letter meet together in exactly one entry.