Such an arrangement would form a Graeco-Latin square.

How these lists and objects apply to each chapter is governed by an array called a Graeco-Latin square.

Graeco-Latin squares are used in the design of experiments, tournament scheduling, and constructing magic squares.

A Graeco-Latin square can therefore be decomposed into two "orthogonal" Latin squares.

In the 1780s Euler demonstrated methods for constructing Graeco-Latin squares where n is odd or a multiple of 4.

Graeco-Latin squares, etc.).

In addition to working on several problems of probability which link to combinatorics, he worked on the knights tour, Graeco-Latin square, Eulerian numbers, and others.

Gaston Tarry confirms Euler's conjecture that no 6x6 orthogonal Graeco-Latin square is possible.

He pursued mathematics as an amateur, his most famous achievement being his confirmation in 1901 of Leonhard Euler's conjecture that no 6x6 Graeco-Latin square was possible.

In the 1780s, the great mathematician Leonhard Euler had conjectured that a 10x10 Graeco-Latin square could not exist and it was not until 1959 that one was actually constructed, refuting Euler.