>>46Vectorize the entire plot functions for plots R, G, and B across the X-Y which can simply be primes, across the entire length of the movie.
I don't think you can come up with generalizable functions that compress any movie frame the same way a chess move can be compressed. The chess board comes with a strong prior--all the rules of chess. An image from a movie, by contrast, is completely arbitrary. There aren't any built in patterns you can exploit with the movie image.
What would be interesting is a superintelligence that could come up with a mathematical function that outputs an entire movie. For example, a video of a circle moving from the left to the right of the screen can be easily specified by the function for a circle with a varying horizontal coordinate. Imagine a superintelligence figuring out enough patterns on a larger scale over all the pixels in a movie such that it could reconstruct any frame by its index. I think that would be the closest you could get to infinite compression.