Some comments on Latin squares and on Graeco-Latin squares, illustrated with postage stamps and old playing cards

We present some comments on Latin squares and on Graeco-Latin squares, with special emphasis on their use in statistics and in a historical context. We also comment on the Knut Vik square, the knight’s move design and the knight’s tour, as well as the Magic Card Puzzle. We consider the well-known 36...

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Veröffentlicht in:Statistical papers (Berlin, Germany) Germany), 2009-08, Vol.50 (4), p.917-941
Hauptverfasser: Styan, George P. H., Boyer, Christian, Chu, Ka Lok
Format: Artikel
Sprache:eng
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Zusammenfassung:We present some comments on Latin squares and on Graeco-Latin squares, with special emphasis on their use in statistics and in a historical context. We also comment on the Knut Vik square, the knight’s move design and the knight’s tour, as well as the Magic Card Puzzle. We consider the well-known 36 officers problem studied by Euler (Verhandelingen uitgegeven door het zeeuwsch Genootschap der Wetenschappen te Vlissingen, vol. 9 (Middleburg 1782), pp. 85–239, 1779/1782), and give two examples of diagonal Latin squares of order 6 due, respectively, to Abbé François-Guillaume Poignard (Chez Guillaume Fricx, Imprimeur & libraire ruë Bergestract, à l’enseigne des quatre Evangelistes, Bruxelles [4] 79 pp. (p. 71 folded), 1704) and József Dénes (J Lond Math Soc Ser 2, 6(4):679–689, 1970). We illustrate our comments with images of postage stamps and old playing cards. An extensive annotated bibliography ends the paper.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-009-0261-5