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Rational Bézier curves with infinitely many integral points

Petroula Dospra (2023)

Archivum Mathematicum

In this paper we consider rational Bézier curves with control points having rational coordinates and rational weights, and we give necessary and sufficient conditions for such a curve to have infinitely many points with integer coefficients. Furthermore, we give algorithms for the construction of these curves and the computation of theirs points with integer coefficients.

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