Learn generative and mathematical art
Visual, practical guides to fractals, infinite patterns, tilings, dithering, and generative coloring. Every article opens a live studio state you can zoom, edit, and export.
Open Fractal Zoom Studio →Aperiodic tilings & tessellation
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Penrose Tiling, Explained Visually
Two tiles, infinite non-repeating pattern. How P2 and P3 Penrose tilings work — with a live generator.
5 min read -
Wallpaper Groups: All 17 Symmetries of a Pattern
Compare all 17 wallpaper groups on one motif, then export a seamless tile for a repeating pattern.
8 min read
Retro & pixel rendering
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Ordered Dithering: Bayer, Blue Noise, and IGN
Bayer vs blue noise vs IGN — how a fixed threshold mask fakes shades. Live, side-by-side demo.
4 min read -
Pixel-Art Filters Without Palette Lock-In
Get the dithered, stepped pixel look while keeping your scene's real colors. The gradient-quantize trick, live.
4 min read
Fractals & coloring
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Julia Sets, Interactively: A Live Generator
One formula, infinitely many worlds. Change the seed c in this live Julia set generator and watch the boundary reorganize.
6 min read -
The Mandelbrot Set, Explained Visually
What the Mandelbrot set is, why its boundary never runs out of detail, and how to explore it live.
6 min read -
Cool Fractals: Mesmerizing Patterns to Explore Free
Mesmerizing mathematical patterns to open, zoom, recolor, animate, and export free.
4 min read -
What Are Fractals? A Visual Introduction
Self-similarity, iteration, and fractal dimension explained with pictures, plus famous fractals you can open and zoom live.
9 min read -
Fractal Art: When Algorithms Make Pictures
How a formula, a transform stack, and a gradient become a finished fractal artwork, with live examples and print, loop, and relief export.
7 min read -
Fractal Kaleidoscope: Mandalas From Infinite Detail
Two mirrors and a fractal make a mandala. Set the symmetry, spin the chamber, and export a seamless loop.
6 min read -
Koch Snowflake and Sierpinski Triangle
Build the Koch snowflake and Sierpinski fractals one iteration at a time, then compare their perimeters, areas and dimensions.
7 min read -
Newton Fractal: Roots, Basins and Boundaries
Color the roots of z³ − 1 by their basins of attraction and change the degree or relaxation to see how the Newton fractal changes.
5 min read -
A Free Ultra Fractal Alternative in Your Browser
Formula, stacked transforms, and an editable gradient, free in the browser. An honest comparison with Ultra Fractal.
6 min read