Pattern Generator

Explore all 17 wallpaper groups. An asymmetric F motif makes rotations and reflections visible.

Motif Source

Upload Webcam

Select a source to begin.

Wallpaper group p1 p2 pm pg cm p2mm p2mg p2gg c2mm p4 p4mm p4gm p3 p3m1 p31m p6 p6mm

Motif Parameters

X: 0.17

Y: 0.29

Size: 50

Cell Parameters

a: 100

b: 100

Background

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View

Show unit cells

X and Y are fractional lattice coordinates; size is the motif's longest side in pixels. Square and hexagonal groups require a = b.

Use default F motif

Export

Save as PNG

The selected symmetry applies to the motif and uploaded background. Overlapping motifs use additive blending so drawing order cannot change the symmetry; overlaps may brighten. Cell lines are guides and are omitted from PNG exports. A motif or special position can introduce additional symmetry. Patterns extend beyond this finite view.