Guide To Recognising Wallpaper Groups
To work out which wallpaper group corresponds to a given design, one may use the following table.
| Size of smallest rotation |
Has reflection? | |||||
|---|---|---|---|---|---|---|
| Yes | No | |||||
| 360° / 6 | p6m | p6 | ||||
| 360° / 4 | Has mirrors at 45°? | p4 | ||||
| Yes: p4m | No: p4g | |||||
| 360° / 3 | Has rot. centre off mirrors? | p3 | ||||
| Yes: p31m | No: p3m1 | |||||
| 360° / 2 | Has perpendicular reflections? | Has glide reflection? | ||||
| Yes | No | |||||
| Has rot. centre off mirrors? | pmg | Yes: pgg | No: p2 | |||
| Yes: cmm | No: pmm | |||||
| none | Has glide axis off mirrors? | Has glide reflection? | ||||
| Yes: cm | No: pm | Yes: pg | No: p1 | |||
See also this overview with diagrams.
Read more about this topic: Wallpaper Group
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