An Alternative Parametrization of Pythagorean Triples

This record contains the preprint of the manuscript titled “An Alternative Parametrization of Pythagorean Triples” together with the associated numerical datasets used for computational exploration and observations. This dataset includes two Excel sheets developed to generate and compare the behavior of the Classic and Alternative formulas for generating Pythagorean triples. Key Features: Dynamic Simulation: As variables n and m are modified, the corresponding leg lengths and the interior angles of the triangle are updated automatically. Instant Visualization: Embedded charts provide real-time graphical representation of the generated values, illustrating the geometric behavior of the formulas. Reproducibility and Accessibility: The files are designed to enable straightforward verification of the results and to facilitate independent exploration of the parametrization.