# Latin Squares in Practice and in Theory II

## 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 of
Combinatorial 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?