Lattice equable quadrilaterals I: parallelograms

DOI10.4171/LEM/1013zbMath1486.51020arXiv2006.07566OpenAlexW3216941148MaRDI QIDQ2077247

Grant Cairns, Christian Aebi

Publication date: 24 February 2022

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07566

zbMATH Keywords

Diophantine equationsPell-like equationsequable polygonMarkov-Rosenberger equations

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Cubic and quartic Diophantine equations (11D25) Plane and solid geometry (educational aspects) (97G40)

Uses Software

• OEIS

Cites Work

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• Heronian Triangles Are Lattice Triangles
• Über die Diophantische Gleichung ax2 + by2 + cz2 = dxyz.
• The asymptotic growth of integer solutions to the Rosenberger equations

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