Generalized Brunes Stars and System of Pythagorean Triples

Year: 2016 Authors: Dmitri Kozlov

Core claim

Regular square-grid diagonal constructions generate primitive and non-primitive Pythagorean triples, suggesting a geometric origin for the triples.

Topics

Pythagorean triples, Brunes stars, square grids, geometric construction

Domains

number theory, Euclidean geometry, Pythagorean theorem, trigonometry, architecture, craft, visual arts

Methods

grid-based construction, diagonal intersection, algebraic derivation, trigonometric derivation

Media

square grids, rectangles, diagrams, right triangles

Source status

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