Knots and Pythagorean Triangles

Number Theory Level 3

There are equally spaced $12$ knots in the loop of string in Figure-1. This string loop can be transformed into Figure-2, which is a right triangle with a knot on each of its vertices.

Does this same transformation work for any other number of knots $k\neq12$ ?

Find the minimum $k>12$ .
If there is no such $k>12$ , enter 0.