Generalized Brunes Stars and System of Pythagorean Triples

Dmitri Kozlov
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 379–382 Short Papers


The paper describes a geometric way of constructing of right triangles with sides correspond to Pythagorean number triples as a further development of Tons Brunes eight-pointed star principle. An assumption is made that the geometric statement for Pythagorean triples might precede the algebraic one.