GeoPatternLabAbout GeoPatternLab
GeoPatternLab is a growing collection of 48 free, browser-based tools for making geometric and optical art. Each tool is dedicated to a distinct but related visual language — from classic kaleidoscopes and mandalas to op art, fractals, tessellations, cellular automata, and Islamic geometric patterns — so you can create unique artwork in real time by drawing or adjusting parameters.
Our mission
We want the mathematics of pattern to be something anyone can play with. Symmetry, tiling, recursion, and emergence are usually locked behind specialist software or code. GeoPatternLab turns each idea into a focused, hands-on tool that runs instantly in your browser — no sign-up, no install, no cost — so students, designers, educators, and hobbyists can explore and create right away.
How the tools work
Every tool is built around the actual technique it represents. The symmetry tools implement true reflection and rotation groups; the tiling tools use published constructions such as Penrose and pinwheel subdivisions; the generative tools use deterministic, seeded algorithms (Voronoi diagrams, L-systems, flow fields, and Gray-Scott reaction-diffusion); and the automata faithfully implement rule sets like Conway's Game of Life and Langton's Ant. Because generation is seeded, a shareable URL reproduces the exact same result every time.
Rendering uses the right engine for each medium: HTML canvas and WebGL for real-time raster and GPU effects, SVG for crisp vector tilings, and p5.js for freehand drawing. Everything renders on your device, and your work stays local until you export it as a high-resolution PNG or, where supported, a scalable SVG for print.
Tools by category
Symmetry & Reflection
- Kaleidoscope — Classic multi-mirror kaleidoscope — draw and watch every stroke reflect into symmetrical segments.
- Mandala Maker — Radial mandala drawing with ring guides, adjustable petals, and sacred-geometry overlays.
- Sharingan — Design a Sharingan eye — pick a pattern, then free-draw with radial symmetry.
- Radial Symmetry — Pure rotational symmetry drawing.
- Symmetry Group — Explore rotational, reflective & translational symmetry.
Optical Art
- Op Art Generator — High-contrast optical illusion patterns — stripes, waves, checkerboards, and vibrating edges.
- Psychedelic Flow — Fluid, swirling, high-saturation morphing patterns.
- Moire Patterns — Interference patterns from overlaid grids.
- Halftone & Dither — Halftone dot and line screens with a smooth tonal gradient.
- Wave Interference — Rippling interference patterns from multiple animated wave sources.
Generative & Fractal
- Fractal Explorer — Zoom infinitely into GPU-rendered Mandelbrot and Julia fractals with custom color maps.
- Spiral & Fibonacci — Golden spirals and phyllotaxis art.
- Voronoi Patterns — Organic cellular Voronoi diagrams.
- Fractal Trees — L-system turtle graphics — branching trees, Koch curves, and dragon fractals.
- Flow Field — Flowing generative line art guided by a noise vector field.
- Gradient Mesh — Smooth multi-point color meshes and soft abstract gradients.
Automata & Life
- Cellular Automata — Elementary cellular automata woven into intricate row-by-row patterns.
- Game of Life — Conway's Game of Life and other life-like cellular automata, animated live.
- Brian's Brain — A three-state cellular automaton that erupts into shifting, spark-like waves.
- Cyclic Cellular Automata — Colorful cyclic automata that self-organize into rotating spirals.
- Langton's Ant — A tiny ant that turns on colors and builds surprising highways.
- Turmites — Two-dimensional Turing machines that draw spirals, worms and lace.
- Wireworld — A four-state automaton for simulating electrons racing through circuits.
- Reaction-Diffusion — Gray-Scott chemistry that grows organic spots, stripes and coral.
- Flocking (Boids) — An interactive boids simulation where flocks self-organize from three simple rules.
- Particle Life — Interactive particle simulation where colors attract and repel into lifelike cells.
- Slime Mold — Physarum agents that lay and follow trails, weaving organic network patterns.
Geometric & Tiling
- Islamic Geometric Pattern — Construct girih-style star-and-polygon patterns with precise, interlocking geometry.
- Tessellation Studio — Tile-based drawing with wallpaper symmetry groups.
- Geometric Abstraction — Freeform hard-edge shapes and limited palettes.
- Quilt Block Designer — Patchwork geometric quilt blocks.
- Crystal Lattice — Repeating lattice and crystal structures.
- Hard-edge Geometric — Crisp flat-color geometric fields.
- Art Deco Geometric — Sunbursts, chevrons, and 1920s motifs.
- Penrose Tiling — Aperiodic kite-and-dart tilings.
- Truchet Tiles — Random tile patterns from rotated arcs and diagonals that connect into flowing mazes.
- Pinwheel Tiling — Aperiodic pinwheel substitution tiling of right triangles.
- Isometric Blocks — Stacked isometric cubes with three-tone shading and impossible-geometry vibes.
- Maze Art — Perfect mazes generated on a grid, drawn as crisp linework.
- Stained Glass — Colorful glass panes bounded by dark leading, from a Voronoi mosaic.
Curves & Motion
- Spirograph — Hypotrochoid and epitrochoid curves like the classic gear-and-pen toy.
- Harmonograph — Damped-pendulum Lissajous curves that spiral into delicate meshes.
- Pendulum Swing — An animated multi-jointed pendulum that draws harmonograph-style curves in real time.
- Rose & Polar Curves — Rhodonea rose curves and layered polar-equation art.
- Guilloche — Layered spirograph rosettes like the engraving on banknotes.
Sacred & Traditional
- Sacred Geometry — Flower of Life, Metatron's Cube, and more.
- Celtic Knot — Interlaced over-under knotwork.
- Zentangle Patterns — Structured meditative doodle patterns.
Contact
GeoPatternLab is an independent project. Questions, corrections, or feedback are always welcome — email paklong2556@gmail.com. See also our Privacy Policy and Terms of Use.