GeoPatternLabSymmetry Group
Explore rotational, reflective & translational symmetry.
A random motif repeated under a symmetry group. Switch groups to see how the same motif transforms.
About Symmetry Group
An educational sandbox for exploring symmetry: switch between rotational, reflectional, and translational symmetry and the wallpaper groups, and see how a motif repeats under each.
How to use Symmetry Group
- Adjust the parameters. Use the side panel to shape your Symmetry Group design in real time.
- Explore variations. Press Randomize to discover new variations, or copy the share link to reproduce an exact result.
- Export. Download your artwork as a high-resolution PNG or a scalable SVG.
Frequently asked questions
What is Symmetry Group?
An educational sandbox for exploring symmetry: switch between rotational, reflectional, and translational symmetry and the wallpaper groups, and see how a motif repeats under each. It runs entirely in your web browser on GeoPatternLab, free and with no sign-up.
Is Symmetry Group free to use?
Yes. Symmetry Group 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 Symmetry Group 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 Symmetry Group work on phones and tablets?
Yes. Symmetry Group 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 Symmetry Group artwork commercially?
Yes. Artwork you create with Symmetry Group 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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