## Latin Squares in Practice and in Theory II

**Feature Column Archive**

## 5. References in print. For further thought

Euler's article *Recherches sur une nouvelle espèce de quarrés magiques*, first published in 1782, is reprinted in his *Opera Omnia* Series I volume VII, Teubner, Leipzig and Berlin 1923, pages 291-392.

Charles Colbourn and Jeff Dinitz, Mutually orthogonal latin squares: a brief survey of constructions, Journal of Statistical Planning and Inference **95** (2001) 9-48

The full table of MOLS appears in The CRC Handbook ofCombinatorial Designs, edited by Charles Colbourn and Jeff Dinitz,CRC Press 1996.

## For further thought

In the construction of magic squares, how should the MOLS be chosen if we want both diagonals to have the same sum as the rows and columns?