GeoPatternLab

Spirograph

Hypotrochoid and epitrochoid curves like the classic gear-and-pen toy.

A wheel of radius r rolls in a ring of radius R; the pen sits d from the wheel center.

About Spirograph

Recreate the classic Spirograph toy mathematically: a small gear rolls inside or outside a larger ring, tracing intricate hypotrochoid and epitrochoid roses. Tune the ring and wheel radii and pen offset, layer multiple colored passes, and export SVG or a high-resolution PNG.

How to use Spirograph

  1. Adjust the parameters. Use the side panel to shape your Spirograph 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 Spirograph?

Recreate the classic Spirograph toy mathematically: a small gear rolls inside or outside a larger ring, tracing intricate hypotrochoid and epitrochoid roses. Tune the ring and wheel radii and pen offset, layer multiple colored passes, and export SVG or a high-resolution PNG. It runs entirely in your web browser on GeoPatternLab, free and with no sign-up.

Is Spirograph free to use?

Yes. Spirograph 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 Spirograph 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 Spirograph work on phones and tablets?

Yes. Spirograph 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 Spirograph artwork commercially?

Yes. Artwork you create with Spirograph 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

Explore more free pattern generators and geometric art tools on GeoPatternLab:

  • 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.
  • 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.

Browse all 48 tools.