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 to, guide, recognising, wallpaper and/or groups:
“Across Parker Avenue from the fort is the Site of the Old Gallows, where 83 men “stood on nothin’, a-lookin’ up a rope.” The platform had a trap wide enought to “accommodate” 12 men, but half that number was the highest ever reached. On two occasions six miscreants were executed. There were several groups of five, some quartets and trios.”
—Administration in the State of Arka, U.S. public relief program. Arkansas: A Guide to the State (The WPA Guide to Arkansas)
“Those thoughts are truth which guide us to beneficial interaction with sensible particulars as they occur, whether they copy these in advance or not.”
—William James (1842–1910)
“Wit lies in recognising the resemblance among things which differ and the difference between things which are alike.”
—Germaine de Staël (1766–1817)
“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)
“And seniors grow tomorrow
From the juniors today,
And even swimming groups can fade,
Games mistresses turn grey.”
—Philip Larkin (1922–1986)