I made a couple videos on ellipses. I think they are orthogonal polynomials but I haven't checked. I just found out about them. I knew about Chebyshev for awhile now, just didn't know about the inner product thing. I haven't found the U and T equivalents yet but I found 1 polynomial that fits the bill.
I'm not trying to fool anyone. I'm just goofing around. This is what I do with my spare time. I'm not a phd or anything. I have grade 12 completed.