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Ringing the changes

Published online by Cambridge University Press:  24 October 2008

Arthur T. White
Arthur T. White
Affiliation:
Western Michigan University, Kalamazoo, Michigan
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Abstract

The ancient and continuing art of change ringing, or campanology (how the British ring church bells), is studied from a mathematical viewpoint. An extent on n bells is regarded as a hamiltonian cycle in a Cayley colour graph for the symmetric group Sn, embedded on an appropriate surface. Two methods for variable n (Plain Bob for all n and Grandsire for n =; 3 (mod 4)) are discussed, and a new method for n odd is introduced. All minimus methods (n = 4) and five doubles methods (n = 5) are depicted, one of these being the new No Call Doubles.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 2 , September 1983 , pp. 203 - 215
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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