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When we are going through every number of a fibonacci sequence and use a modulus(X) on that number, we always get a repeating sequence of remainders. We can plot those remainders on a circle where we have X-1 points. We draw lines between the current remainder and the previous remainder. This gets us some interesting results where some outcomes are perfectly symmetrical. For example fib mod X gives back the sequence 01120221. With X = 3 we have 3 points in the circle to draw lines to. from 0->1->1->2->2->1. Some cool examples: