IFStile is a free (GPL License) cross-platform application for the discovery, visualization, and classification of self-similar sets and tessellations, bridging the gap between experimental mathematics and computer graphics.

Features:

Multidimensional IFS Construction: Build affine directed graph Iterated Function Systems in arbitrary Euclidean dimensions, with full support for 2D and 3D cross-sections.
Automated Fractal Discovery: Leverage automated search to identify unique fractal structures, including rep-tiles, carpets, and dragons.
Dimensional Analysis: Compute the dimensions of fractals and tile boundaries using both precise analytical methods and numerical approximations.
Geometric Analysis: Compute centroids, moments, and diameters of fractal sets.
High-Performance Exploration: Experience effective zooming into infinite fractal structures.
Professional Rendering: Generate high-resolution images and keyframe animations with dedicated batch-rendering support.
Interoperability & Export: Export to the Apophysis .flame format and generate 3D meshes for external creative workflows.