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

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 x2 + xy + y2 = 72 · 132 · 192 · 312. We shall obtain Anning’s conjecture as a consequence of a far more general geometrical result.