Polygon-Based Fractals from Compressed Iterated Function Systems

This paper addresses the equivalence between iterative function systems (IFS). It also explains how to classify and reduce the parameter space for a particular class of IFS.The proposed method generates various fractal textures for regular polygons and allows the creation of polygon-based fractal flakes, polygon-based spirals, and many other forms. It employs sth-order restriction, a new version of recurrent iterated function systems. Level-specified symmetry in the fractals is controlled through rth-level symmetrization.