Wallpaper Group - Guide To Recognising Wallpaper Groups

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)

    Lost at night in an immense forest, I only have a small light to guide me. A man appears who tells me: “My friend, blow out your candle in order to find your way.” This man is a theologian.
    The sea, fluid garden filled with animals and plants.
    Alfred Döblin (1878–1957)

    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)

    If we can learn ... to look at the ways in which various groups appropriate and use the mass-produced art of our culture ... we may well begin to understand that although the ideological power of contemporary cultural forms is enormous, indeed sometimes even frightening, that power is not yet all-pervasive, totally vigilant, or complete.
    Janice A. Radway (b. 1949)