Polygon-Based Fractals from Compressed Iterated Function Systems

摘要

A 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. To control attractors in an understandable way, this method uses a small number of parameters. It's based on iterated function systems (IFSs) with linear holomorphic functions in one complex variable. To compress such systems, this method employs a contraction-free function. It also implements sth-order restriction, a new version of recurrent IFSs. Level-specified symmetry in the fractals is controlled through rth-level symmetrization.