A geometric representation of integral solutions of <em>x</em><sup>2</sup> + <em>xy</em> + <em>y</em><sup>2</sup> = <em>m</em><sup>2</sup>

Article

A geometric representation of integral solutions of x2 + xy + y2 = m2

Published in: Quaestiones Mathematicae
Volume 43 , issue 3 , 2020 , pages: 425–439
DOI: 10.2989/16073606.2019.1578294
Author(s): Lorenz Halbeisen Department of Mathematics, Switzerland , Norbert Hungerbühler Department of Mathematics, Switzerland
Keywords: 11D09 , 11H55 , 52C10 , 11D09 , 11H55 , 52C10
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Abstract

More than a century ago, Norman Anning conjectured that it is possible to arrange 48 points on a circle, such that all distances between the points are integer numbers and are all among the solutions of the diophantine equation
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