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Symmetry Sandbox

Explore the 17 wallpaper groups that tile the plane!

Place a motif, choose a symmetry group, and watch the pattern emerge.

Wallpaper Group
p1 Translations only.
Motif
Display
Group Info
  • LatticeOblique
  • Order1
  • RotationsNone
  • MirrorsNo
  • GlidesNo
Legend
Mirror line
Glide line
♦ 2-fold center
▲ 3-fold center
■ 4-fold center
⬢ 6-fold center
3D Crystal Sandbox →