Patterns using Variations of Cellular Automata and Integral Value Transformations

The primary focus of this article is to create patterns, these are the images formed through various 2D and 3D transformations characterized diversely in the field of Cellular Automata and Integral Value Transformations. With the assistance of these transformations, various graphics and image processing operations can be accomplished. The dynamics of first, second and third order recurrence systems of the form xt=f(xt-1), xt=f(xt-1, xt-2) and xt=f(xt-1, xt-2, xt-3) have been studied through these patterns where xt is the configuration at time t due to the effect of the function f.