Wallpaper Groups
What you seeFour square panels on paper, each filling the plane with one small leaf repeated in two colours by a different symmetry, labelled p6m, p4m, cmm and p4g, with one repeating cell shaded and outlined.
What it meansMathematicians proved in the nineteenth century that every repeating flat pattern has one of seventeen symmetry groups. Islamic ornament uses many of them, and groups with mirrors and four- or six-fold turns, like those shown here, are common in its star patterns.
Where it worksA thoughtful plate for a study, a classroom or a mathematician's wall.
2:3 · 7200 × 10800 px4×6 · 8×12 · 12×18 · 16×24 · 20×30 · 24×36 in
3:4 · 5400 × 7200 px6×8 · 9×12 · 12×16 · 18×24 in
4:5 · 7200 × 9000 px4×5 · 8×10 · 16×20 · 24×30 in
11:14 · 3300 × 4200 px11×14 in
A-series · 7023 × 9933 pxA5 · A4 · A3 · A2 · A1
Everything is one ZIP: every shape and size, the phone wallpaper, the SVGs and a printing guide.
