Phistomefel Tribute

Here is a very small and potentially very easy puzzle. The intention is for you to use the 8x8 version of Phistomefel's theorem. Which, as far as I know, is a novel concept. If you can do that, this puzzle is much simpler (as far as I can tell). However, it is almost certainly possible to solve this puzzle without the theorem!

Here is an explanation image.

There are two version of Phistomefel's theorem that show up in this puzzle with non-square regions. In both sides of this image, the red and blue highlighted squares contain the same digits (red=blue). The proof for this follows from the original discovery. If you don't know what I'm talking about, see here.

Ordinary Sudoku Rules Apply

Ordinary Killer Rules Apply

Here is the puzzle. Enjoy! :) You can play it here.

Please let me know if you figured this out with or without using this technique! For added cred, do it both ways ;)