Thank you very much for the preliminary comment. Unfortunately, there is no direct evidence - I have done these works for a long time, but then I reinstalled the operating system, but I forgot about the Abstract Curves program and did not save the settings. And in the program a lot of any twists and sinusoids, it is impossible to restore exactly. I initially understood at the publication of this post that such a question would arise, therefore, morally ready to refuse.

I'll try to create new backgrounds (with proofs) and make new banners.