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math.NT2022
Perfect cuboid, primitive Pythagorean triples and Eulerian parallelepipeds. Dynamics of construction
Natalia Aleshkevich
One unsolved mathematical problem remains the perfect cuboid problem. A perfect cuboid is a rectangular parallelepiped whose edges, face diagonals and space diagonal are all expres…
math.NT2021
Constructive representation of primitive Pythagorean triples
Natalia Aleshkevich
The paper presents a systematic construction of primitive Pythagorean triples. The order of enumeration on the set of primitive Pythagorean triples is defined. The order is based o…
math.NT2019★ 1 cited
Geometric and algebraic interpretation of primitive Pythagorean triples parameters
Natalia Aleshkevich
The paper found a geometric and algebraic interpretation of the parameters m and n from the formulas for obtaining primitive Pythagorean triples, which are solutions of the equatio…