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A General Quadrille Solution

Published online by Cambridge University Press:  03 November 2016

Wade E. Philpott
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Extract

The problem of arranging dominoes with like numbers in groups of four was proposed by Édouard Lucas. Although Lucas published only symmetrical solutions for the double-six set, generalizations of the problem have led to some interesting results. For the double-six set, it has been shown there are hundreds of shapes meeting the requirement that like numbers appear in groups of four.

Type
Research Article
Information
The Mathematical Gazette , Volume 51 , Issue 378 , December 1967 , pp. 287 - 290
Copyright
Copyright © Mathematical Association 1931

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References

Lucas, , Édouard, , Récréations Mathématiques, Vol. II, Albert Blanchard, Paris, 1960, Pages 52–63.Google Scholar
Madachy, , Joseph, S., Mathematics on Vacation, Chas. Scribner’s Sons, New York, 1966, Chapter 8.Google Scholar
Philpott, , Wade, E., “Quadrilles,” Recreational Mathematics Magazine, Issue No. 14, (Jan.-Feb. 1964), Pages 5–11.Google Scholar