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.

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