Fractal & Simulation Gallery
Interactive fractals and scientific simulations. Zoom into fractal geometry, grow chemical patterns and slime-mould networks, or follow pigment through a simulated fluid.
Fractal Info
Julia Set Fractal
Named after French mathematician Gaston Julia, these fractals explore the boundary between bounded and unbounded sequences in the complex plane.
Mandelbrot Set
The most famous fractal, discovered by Benoit Mandelbrot. Known for its complex boundary and self-similar detail at different scales.
Newton Fractal
Based on Newton's method for finding roots of polynomials. Creates colorful basins of attraction showing which root each point converges to.
Burning Ship Fractal
A variation of the Mandelbrot set that uses absolute values, creating ship-like structures and coastline-like patterns.
Phoenix Fractal
A fractal that feeds the previous iteration back into each step, creating phoenix-like patterns.
Lorenz Attractor
A chaotic dynamical system that resembles a butterfly. Demonstrates how deterministic systems can exhibit unpredictable behavior.
Benesi Pine Tree
Explore the quadratic Pine Tree surface in 3D, or compare our separate 2D folding experiment with adjustable scale and escape-time colouring.
Mandelbulb
A 3D extension of the Mandelbrot set that uses spherical coordinates to create bulbous, organic forms.
Mandelbox
A 3D fractal built from box and sphere folding operations, producing both crystalline and organic forms.
Quaternion Julia
4D Julia sets using quaternion mathematics, projecting complex 4-dimensional structures into visible 3D space with ray-marching techniques.
Hopf Fibration
A topological visualization of 4D sphere structure through fiber bundles, showing linked circles that represent the geometry of higher dimensions.
Nebulabrot
An accumulative visualization technique that reveals the orbital paths of escaping points from the Mandelbrot set, creating nebula-like patterns through statistical rendering.
Science simulations
Gray–Scott Patterns
Watch two reacting and diffusing chemicals grow coral-like mazes, dividing cells and lace. Explore fixed chemistry or renew small patches to keep new colonies growing.
Physarum Networks
Thousands of agents sense, follow and reinforce shared trails. Change their sensing and steering to grow branching networks inspired by slime mould.
Flow Laboratory
Follow mineral-coloured pigment through gyres, colliding jets and meandering currents. Stir the fluid or reveal its local rotation with the vorticity view.
Tools & Articles
Mandelbrot Deep Zoom
Zoom into the Mandelbrot set far past the limits of ordinary floating point, from Seahorse Valley down to views 10-1000 tall, and share any view as an exact link.
Julia Explorer
Explore the relationship between the Mandelbrot set and the Julia Fractal.
Palette Viewer
Browse and test all available color palettes for fractal visualization. Preview how each color scheme looks on a fractal.
Mandelbulb Explorer
Advanced parameter exploration tool for the Mandelbulb fractal. Real-time controls for power, iterations, camera, lighting, and performance optimization.
Mandelbox Explorer
Advanced parameter exploration tool for the Mandelbox fractal. Real-time controls for scale, folding operations, camera, performance settings, and quality optimization.
Benesi Explorer
Explore a 2D folding fractal with scale and sphere-fold controls, colour palettes, named presets, and a guide to reading escape-time patterns.
3D Fractal Techniques
How real-time 3D fractal rendering works: ray marching, distance estimation, sphere tracing, lighting, and GPU acceleration.
GPU Deep Zoom Performance
A technical write-up for people building similar tools: what made our WebGPU Mandelbrot deep zoom fast, which experiments failed, and how we measured them.