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Speedway tournaments

Published online by Cambridge University Press:  22 September 2016

T. J. Fletcher
T. J. Fletcher*
Affiliation:
Department of Education and Science, Mowden Hall, Staindrop Road, Darlington DL3 9BG
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Extract

I like an active Saturday afternoon, so it comes about that I often end up watching sport on television. The other day it was speedway racing. I gradually became aware that I was watching 16 riders riding four at a time in a complicated arrangement of heats, the object of which was to ensure that each rider rode against every other rider exactly once. Naturally (?) there were 20 heats; but the question arises as to what numbers of riders may be arranged into a tournament, given the firm speedway requirement that four riders are to be on the track at a time, and the requirement that each meets each just once. It is also a problem to arrange the riders into heats suitably.

Type
Research Article
Information
The Mathematical Gazette , Volume 60 , Issue 414 , December 1976 , pp. 256 - 262
Copyright
Copyright © Mathematical Association 1976

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References

1. Anderson, I., A first course in combinatorial mathematics. Oxford University Press (1974).Google Scholar
2. Horadara, A. F., A guide to undergraduate projective geomtry. Pergamon Australia (1970).Google Scholar
3. O’Beirne, T. H., Puzzles and paradoxes. Oxford University Press (1965).Google Scholar
4. Room, T. G., A background to geometry. Cambridge University Press (1967).Google Scholar
5. Singer, J., A theorem in finite projective geometry and some applications to number theory, Trans. Am. math. Soc. 43, 377-85 (1938).CrossRefGoogle Scholar
6. Sawyer, W. W., A concrete approach to abstract algebra. Freeman (1959).Google Scholar