Generate and visualize right triangle triples
A Pythagorean Triple is a set of three positive integers (a, b, c) such that a² + b² = c², where c is the hypotenuse of a right triangle.
Examples: (3, 4, 5), (5, 12, 13), (8, 15, 17)
Primitive Triples: Triples where a, b, and c have no common divisor greater than 1.
Euclid's Formula: All primitive triples can be generated using:
where m > n > 0, and m and n are coprime (gcd = 1), and one is even.