Fractal Generator vs Recursivity

Fractal Generator Explore the beauty of mathematics through fractals. Fractal Generator lets you create Iterated Function System (IFS) fractals using both traditional mathematical methods and a new visual, drag-and-drop builder. Whether you’re learning linear transformations, teaching fractals in the classroom, or simply experimenting with mathematical art, the app makes fractals approachable and rewarding to explore. Create Fractals Analytically • Build fractals using classic affine transformation coefficients • Enter and edit values directly • Render self-similar fractals in real time Fractals are generated from systems of equations that describe how points are transformed. These systems can be solved using substitution, elimination, or matrices, making the app a natural companion for algebra and linear algebra coursework. New in Version 2.0 — Visual Fractal Builder Design fractals visually by placing and manipulating shapes on a grid. The visual builder converts geometric transformations into the underlying mathematical coefficients automatically, allowing you to: • Experiment without starting from equations • See how transformations affect the final fractal • Better understand how IFS systems are constructed This makes fractals more intuitive, especially for visual learners. Learn, Experiment, and Explore • Recreate classic fractals included in the app • Modify existing systems or create your own • Watch a built-in tutorial explaining how the math behind fractals works Export and Share • Export high-resolution images • Optional transparent backgrounds for PNG export • Save to Photos or share your creations easily Fractal Generator Pro Unlock the full experience with a one-time Pro upgrade: • All fractal collections • Visual drag-and-drop builder • Advanced export options No subscriptions. No accounts. No tracking. If you previously purchased any fractal pack, restoring purchases automatically unlocks Pro. Designed for iPhone, iPad, and Mac Support: support@lightbulblearninglogic.com Privacy Policy: https://lightbulblearninglogic.com/privacy-policy/

Partly a book, partly a set of demonstrations, and partly an exploratory tool, this app is all about recursive functions, chaos, and fractals. Investigate the Mandelbrot Set, Julia sets, Newton's method of finding complex roots, Sierpinski's triangle, Pascal's triangle, and patterns created by cellular automata. Explore mathematical beauty and complexity.