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On Schoenberg's Rational Polygon Problem
Published online by Cambridge University Press: 09 April 2009
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A polygon is said to be rational if all its sides and diagonals are rational, and I. J. Schoenberg has posed the difficult question, ‘Can any given polygon be approximated as closely as we like by a rational polygon?’ Many of the known results concerning this question are contained as special cases in theorem 1 below which was proved by one of us (cf. the references).
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- Copyright © Australian Mathematical Society 1969
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