The length of the mesh lines lying on the surface (Kangaroo 2, similar length)

Dear colleagues!

Input data is a surface on it is the mesh.

It is necessary to obtain a mesh with lines of equal length, that the net lying on the surface.

As far as I understand this algorithm s called Chebyshev net (I could be wrong)

I created an algorithm for this problem, but it is not correct working, mesh moves !?

please tell me how to fix the algorithm that the net does not break, and lying on a given surface?