Journal of Integer Sequences, Vol. 15 (2012), Article 12.2.5

Rational Distance Sets on xy = 1

Allan J. MacLeod
Statistics, O.R. and Mathematics Group
University of the West of Scotland
High St.
Scotland PA1 2BE


We consider the problem of finding sets of points on xy = 1, where all of the inter-point distances are rational. The search for such points has links to both congruent and concordant numbers.

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Received April 21 2011; revised versions received October 10 2011; January 10 2012. Published in Journal of Integer Sequences, January 14 2012.

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