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Mathematical Rugby

Published online by Cambridge University Press:  23 January 2015

Burkard Polster  and
Marty Ross
Burkard Polster
Affiliation:
School of Mathematical Sciences, Monash University, Victoria 3800, Australia, e-mail: Burkard.Polster@sci.monash.edu.au
Marty Ross
Affiliation:
PO Box 83, Fairfield, Victoria 3078, Australia e-mail: martiniross@gmail.com.au; web:, www.qedcat.com
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Extract

The December 1978 issue of the Mathematical Gazette [1] contains an elegant and humorous contribution from Anthony Hughes. His Note gives a recipe for determining the optimal spot from which to make a conversion attempt in rugby. Others then elaborated on Hughes' idea; see [2] and [3] in particular. In 1996 Isaksen [4] rediscovered Hughes' results while investigating the kicking of extra points in American gridiron. There are also a number of popularisations and summaries, in which the above results are presented, and in instances rediscovered. The ones of which we are aware are listed in the references; see [5, 6, 7, 8, 9 and 10].

Type
Articles
Information
The Mathematical Gazette , Volume 94 , Issue 531 , November 2010 , pp. 450 - 463
Copyright
Copyright © The Mathematical Association 2010

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References

1. Hughes, A., Conversion attempts in rugby football, Math. Gaz. 62 (December 1978) pp. 292–293.10.2307/3616389Google Scholar
2. Owens, M. and Schwertman, N., The mathematics of the place kick, Math. Gaz. 79 (March 1995) pp. 56–60.10.2307/3619990Google Scholar
3. Worsnop, G., An aid to conversion in rugby, Math. Gaz. 73 (October 1989) pp. 225–226.10.2307/3618448Google Scholar
4. Isaksen, D. C., How to kick a field goal, College Math. J. 27 (1996) pp. 267–271.10.1080/07468342.1996.11973790Google Scholar
5. Avery, P., Mathematics in sport, Math. Gaz. 73 (March 1989) pp. 1–6.10.2307/3618193Google Scholar
6. Cohen, G. and de Mestre, N., Figuring sport, 2007, available from the authors.Google Scholar
7. Eastaway, R. and Wyndham, J., Why do buses come in threes?, John Wiley & Sons (2000).Google Scholar
8. Eastaway, R. and Haigh, J., Beating the odds, Portico (2007).Google Scholar
9. Jones, T. and Jackson, S., Rugby and mathematics: a surprising link among geometry, the conics, and calculus, Mathematics Teacher 94 (2001) pp. 649–654.10.5951/MT.94.8.0649Google Scholar
10. Nahin, P., When least is best, John Wiley & Sons (2000).Google Scholar
11. de Villiers, M., Place kicking locus in rugby, Pythagoras 49 (1999) pp.64–67.Google Scholar
12. Holmes, C., Jones, R., Harland, A., and Petzing, J., Ball launch characteristics for elite rugby union players, The Engineering of Sport 6, Springer (2006).Google Scholar
13. Ball, K., Three-dimensional analysis of rugby league goalkicking, Technical report for Melbourne Storm Rugby League Club, Melbourne, Australia (2009).Google Scholar
14. Brancazio, P., Rigid-body dynamics of a football, Am. J. Physics 55 (1987) pp. 415–420.10.1119/1.15123Google Scholar