You've given a much better explanation of it than I have. I was trying to think if there is some interesting property of the generalization of this (generalize

You've given a much better explanation of it than I have. I was trying to think if there is some interesting property of the generalization of this (generalize the quotients/generalize the directions) or if it is all just a trivial consequence of primality. I guess the generalization here is choose a set {primes}, create a shape (I believe that would be called a prime lattice or something?) w/ Product({primes}) sides and all primes > Product({primes}) are of the form {Product({primes}) + Set_of_Primes/{primes} mod Product({primes})}. I'm not sure how to get the inductive proof that these moves converge within the lattice for all {primes}.