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Have you seen this algorithm for dithering? Reminds me of your problem.

https://news.ycombinator.com/item?id=42808889



Yes, but another requirement is the algo to be very fast, and dithering takes way more operations than the proposed Fermat PRNG.


this is something you should read https://extremelearning.com.au/unreasonable-effectiveness-of... (it's effectively the fermat prng described, but goes into more depth)




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