Geometry

   

A Method for Calculating Euler Parallelepipeds Based on the Values of Pythagorean Triples

Authors: Andrey V. Voron

A non-formulaic method has been found for calculating Euler parallelepipeds of the second family based on the values of Pythagorean triples of Euler parallelepipeds of the first family, the largest common divisors. To do this, three triangles with integer values of the sides are allocated in the figure. Next, Pythagorean triples are determined from the obtained triangles by selecting the values of their greatest common divisors. These triples are entered in the table. By using a cross-arrangement in the table of two values (out of three) of Pythagorean triples (using the described algorithm of mathematical operations), the values of the three sides of the "derivative" Euler parallelepiped are calculated.

Comments: 4 Pages.

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Submission history

[v1] 2024-07-04 07:48:03

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