Simple Random Walks

A simple random walk is a discrete-time stochastic process that describes a path generated by a sequence of random steps. Starting from a defined point, in this case, the origin, each step is taken with a fixed probability in a fixed direction. The crucial characteristic is that the direction of each step is chosen independently of all previous steps. A line traversing these paths is repeated and elaborated with standard symmetric and phasing transformations creating an elegant geometric ballet.