The Orchard Problem.
WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
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The geometric version of the problem of Kirkman-Steiner triples may be formulated as follows What is the maximal possible number tp of lines each of which contains precisely three points of a suitable set of p points in the Euclidean plane. The first general results were announced by J. J. Sylvester in 1867 and 1868, but up to now no proof of his best claims was published. The authors present a proof of a theorem improving those given by Sylvester, together with several related results. The general estimate they obtain may be put in the form pp-36 1 or tp or pp-36 4p21. Author
- Theoretical Mathematics