Odd and even series of Pythagorean triples

Topic:
Geometry
Change the value of m and n to generate new Pythagorean triples. Changing n will generate the Pythagorean family and changing m will generate the Plato family.
The construction is based on the following article: A. Overmars, L. Ntogramatzidis, A new parameterisation of Pythagorean triples in terms of odd and even series, arXiv:1504.03163 [math.HO], (2015), 1–9.