Integer Solutions to Some Diophantine Equations of Leech Type with Geometric Applications

Ralph Høibakk, Dag Lukkassen, Annette Meidell () and Lars-Erik Persson
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Ralph Høibakk: Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway, 8514 Narvik, Norway
Dag Lukkassen: Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway, 8514 Narvik, Norway
Annette Meidell: Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway, 8514 Narvik, Norway
Lars-Erik Persson: Department of Computer Science and Computational Engineering, UiT The Arctic University of Norway, 8514 Narvik, Norway

Mathematics, 2025, vol. 13, issue 19, 1-15

Abstract: In this paper, we derive integer pseudo-parametric solutions to two sets of Diophantine equations. Moreover, we describe the so-called Double Crossed Ladder (DCL) and show how these results can be used to calculate an infinite number of integer solutions of its sides. In addition, we describe the fact that these results can be used to derive some corresponding sets of integer sides of more complex geometric structures.

Keywords: simultaneous Diophantine equations; parametric and pseudo-parametric solutions; Double Crossed Ladder problem; integer-sided geometric structures (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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