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
Famous quotes containing the words guide, recognising, wallpaper and/or groups:
“If we can find a principle to guide us in the handling of the child between nine and eighteen months, we can see that we need to allow enough opportunity for handling and investigation of objects to further intellectual development and just enough restriction required for family harmony and for the safety of the child.”
—Selma H. Fraiberg (20th century)
“I am I because my little dog knows me but, creatively speaking the little dog knowing that you are you and your recognising that he knows, that is what destroys creation. That is what makes school.”
—Gertrude Stein (1874–1946)
“As for types like my own, obscurely motivated by the conviction that our existence was worthless if we didn’t make a turning point of it, we were assigned to the humanities, to poetry, philosophy, painting—the nursery games of humankind, which had to be left behind when the age of science began. The humanities would be called upon to choose a wallpaper for the crypt, as the end drew near.”
—Saul Bellow (b. 1915)
“screenwriter
Policemen so cherish their status as keepers of the peace and protectors of the public that they have occasionally been known to beat to death those citizens or groups who question that status.”
—David Mamet (b. 1947)