Parametric Engine is a visually stunning simulation of chaotic discrete dynamic mathematical systems that change over time, revealing intricate and beautiful patterns that are both mesmerizing and chaotic. This was created purely from an artistic vision. No prior mathematical knowledge is required to play this game, allowing players to effortlessly create intensely cinematic scenes. The implementation of an automatic randomized system creator feature was made to assist the creative process and offer new never-before-seen systems on command. Additional system variables beyond three dimensions offer endless opportunities for experimentation and discovery.