Tessellations: pg: parallel glide reflections

Repeat a motif under any of the 17 wallpaper groups, then download a seamless repeat, a tile layout and a printable sheet.

PatternOne repeatTile layout

The repeat, tiled to fill the square.

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Design

Wallpaper groupp1: translations onlyp2: half turns, no mirrorspm: parallel mirrorspg: parallel glide reflectionspmm: mirrors in two directions, with half turns on thempmg: mirrors in one direction, with glides and half turnspgg: glides in two directions, with half turnscm: parallel mirrors with glides between themcmm: mirrors in two directions, with half turns on and off themp4: quarter turns, no mirrorsp4m: quarter turns on mirrorsp4g: quarter turns off the mirrorsp3: third turns, no mirrorsp3m1: third turns, all on mirrorsp31m: third turns, some off the mirrorsp6: sixth turns, no mirrorsp6m: sixth turns and mirrorsMotifLeafFishBirdTeardropFlagSailboatShow tile outlines

Colors

BackgroundMotifAccent

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Size

Repeat width2"3"4"5"6"8"10"12"

Repeats across12345678Repeats down12345678

Original motifs. The motifs are drawn for this site. Each is deliberately lopsided, so the pattern shows the group's symmetry and no more.