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Rugby conversions: a 3-dimensional model
Published online by Cambridge University Press: 23 January 2015
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From which position on a rugby pitch should a player choose to kick in order to convert a try? The problem is to find the optimal distance from the try-line conforming to a geometrical constraint: Law 13 of the Rugby Union code stipulates, ‘after a try has been scored, the scoring team has the right to take a place kick or drop kick at goal, on a line through the place where the try was scored’.
The mathematical problem is not new and has been treated in the Gazette on several occasions [1, 2, 3], and in each case the modelling has been in two dimensions, taking a planar view of the pitch. Figure 1 represents this ‘planar model’.
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