Fractals

Notes

• Fractals are shapes with a non-integer dimension.

Links

• Fractal charm: Space filling curves
• How to Fold a Julia Fractal
• My journey into fractals
• Marble Marcher - Video game demo that uses a fractal physics engine and fully procedural rendering to produce beautiful and unique gameplay unlike anything you've seen before. (Video)
• Fractals and Monads
• Generating the Mandelbrot Set
• Recursion and Fractals
• Fractals in Python
• Chaos - Visualizations connecting chaos theory, fractals, and the logistic map.
• Single div Sierpinski triangle (2020) (HN)
• Constructing the Sierpinski triangle (Lobsters)
• Chaos Game - Method of creating a fractal, using a polygon and an initial point selected at random inside. (Code)
• Chaos Game - Numberphile
• Strange Attractors - Implementation of Numberphile’s ideas from their Chaos Game Video.
• The Mandelbrot Set in HTML5 canvas and JS (Code)
• Playing with Chaos - Programming fractals and strange attractors in JS.
• Crossing Two Fractals (HN)
• Fractus - Elegant Fractal Explorer web application written in C++ (WebAssembly) and JavaScript. (Code)
• ASCII Mandelbrot Set
• Hexagonal Julia- Mandelbrot (Twitter)
• Understanding the Mandelbrot Fractal (2018)
• Drawing the Sierpiński Triangle with Recursive SQL and SVG (2020)
• Introduction to Newton Fractals (2016)
• L-System - Simple L-Systems explorer powered by WebGL. (Code)
• L-System manual
• Drawing Fractals with PureScript (2020)
• Classic Mandelbrot set fractal is generated by the iteration z → z² + c
• Kleinian fractals
• Clam - High-quality fractal viewer.
• Buddhabrot - Render a Buddhabrot fractal (an algorithm invented by Melinda Green).
• Buddhabrot fractal method
• Buddhabrot Explained
• The Computational Beauty of Nature (2020) - Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation.
• A Massive Fractal in Days, Not Years (2020) (HN)
• State of my brain
• The Fractal Project - Trying to understand what makes an image visually appealing by analyzing feedback on our randomly generated fractal art.
• DeepBlue - Basic web app to make high quality renderings of the Mandelbrot Set written in Haskell.
• 3D Julia Sets
• Xmountains - Fractal terrain generator. (About)
• FractalView - 3D fractal renderer in GLSL.
• Fractal Explorer - Calculates Mandelbrot and Julia Set images using Rust/WASM.
• Pixel Play - Like Google Maps for fractals.
• Render Fractals in Go Without External Packages (Reddit)
• An almost one-liner to construct the Mandelbrot set with Mathematica (2020)
• 3D Mandelbrot Fractal Zoom (2020)
• Rust-Mandelbrot - Simple Mandelbrot fractal generator written in Rust.
• Fractal Garden - Explore 3D fractals in real time in your web browser. (Code)
• Fractal Sound Explorer - Explore fractals in an audio-visual sandbox.
• Sounds of the Mandelbrot Set (2021)
• Cute fractal
• Using Genetic Algorithm to Create Fractals (HN)
• The Double Pendulum Fractal (2021)
• rust-fractal-core - Mandelbrot fractal visualizer featuring perturbation based iteration methods, series approximation and multithreading.
• rust-fractal-gui - GUI for rust-fractal-core, a mandelbrot fractal visualizer.
• A Closer Look at Fractals (2013)
• Visualize 3D hyperbolic honeycombs and sphere packings
• Fractal Renderer in Swift
• A stochastic method to generate the Sierpinski triangle (HN)
• Extremely-detailed 2d fractals, continued (2021)
• A Well Trodden Path (2019)
• VFX Fractal Toolkit - Set of tools for generating fractal and generative art.
• The Mandelbrot Set (2022)
• Newton's fractal - Drawing Newton's fractal using js, wasm, SIMD commands, threads and GPU.
• SwiftUI Fractals - Sierpinski carpet, triangle, and a fractal tree using SwiftUI.
• 3D fractal explorer