GeoPatternLab

Fractal Trees

L-system turtle graphics — branching trees, Koch curves, and dragon fractals.

An axiom and a few rewrite rules, drawn with turtle graphics. Increase iterations for detail.

About Fractal Trees

Grow fractals from L-systems: an axiom and a few rewrite rules are expanded and drawn with turtle graphics. Pick presets like fractal trees, the Koch snowflake, or the dragon curve, tune the angle and iteration depth, and export SVG or a high-resolution PNG.

How to use Fractal Trees

  1. Adjust the parameters. Use the side panel to shape your Fractal Trees design in real time.
  2. Explore variations. Press Randomize to discover new variations, or copy the share link to reproduce an exact result.
  3. Export. Download your artwork as a high-resolution PNG or a scalable SVG.

Frequently asked questions

What is Fractal Trees?

Grow fractals from L-systems: an axiom and a few rewrite rules are expanded and drawn with turtle graphics. Pick presets like fractal trees, the Koch snowflake, or the dragon curve, tune the angle and iteration depth, and export SVG or a high-resolution PNG. It runs entirely in your web browser on GeoPatternLab, free and with no sign-up.

Is Fractal Trees free to use?

Yes. Fractal Trees on GeoPatternLab is completely free, with no sign-up or download required. Create as much art as you like and export it directly from your browser.

How do I download my Fractal Trees artwork?

Use the export buttons in the toolbar to save your work as a high-resolution PNG or a scalable SVG. Files download straight to your device.

Does Fractal Trees work on phones and tablets?

Yes. Fractal Trees is fully responsive and works with touch input on phones and tablets as well as with a mouse or trackpad on desktop.

Can I use Fractal Trees artwork commercially?

Yes. Artwork you create with Fractal Trees is yours to use for personal and commercial projects, such as wallpapers, prints, textiles, and teaching materials. See our Terms of Use for full details.

Related tools

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  • Kaleidoscope — Classic multi-mirror kaleidoscope — draw and watch every stroke reflect into symmetrical segments.

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