GeoPatternLab

Rose & Polar Curves

Rhodonea rose curves and layered polar-equation art.

r = cos(k*theta) draws a rose. Odd k gives k petals; even k gives 2k.

About Rose & Polar Curves

Plot rose (rhodonea) curves of the form r = cos(k*theta) and related polar equations, controlling petal count, layering, and color. Because they are drawn as true vector paths, you can export crisp SVG as well as a high-resolution PNG.

How to use Rose & Polar Curves

  1. Adjust the parameters. Use the side panel to shape your Rose & Polar Curves 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 Rose & Polar Curves?

Plot rose (rhodonea) curves of the form r = cos(k*theta) and related polar equations, controlling petal count, layering, and color. Because they are drawn as true vector paths, you can export crisp SVG as well as a high-resolution PNG. It runs entirely in your web browser on GeoPatternLab, free and with no sign-up.

Is Rose & Polar Curves free to use?

Yes. Rose & Polar Curves 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 Rose & Polar Curves 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 Rose & Polar Curves work on phones and tablets?

Yes. Rose & Polar Curves 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 Rose & Polar Curves artwork commercially?

Yes. Artwork you create with Rose & Polar Curves 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.

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