We start by choosing a random coordinate. Then we preform trigonometric functions on the coordinates, and plot where they end up. If they stay at the same location, we start the whole cycle again. although the starting positions are random, beautiful patterns still emerge from the chaos. I actually found 3 combinations of trigonometric functions that create really cool patterns, and that's why I made 3 Projects about this.
I encourage you to remix these projects and find your own patterns.