Excellent and well written reading, really liked the graphs to illustrate how the various algorithms loop.

For some reason I thought this was about https://en.m.wikipedia.org/wiki/Diamond-square_algorithm

The more naive the observer, the simpler the pseudorandom algorithm necessary for apparent randomness.

For a paramecium a=a+1 might do.

Humans attempting to be random are not that much more sophisticated than the putative paramecium; they can be predicted with a 16 bit model: https://this1that1whatever.com/miscellany/mind-reader/Shanno...

Online version for those who want to try it: https://web.media.mit.edu/~guysatat/MindReader/index.html

I ended up doing better by choosing the answer myself, than by using a die. Go figure.