Wallpaper Group - The Seventeen Groups

The Seventeen Groups

Each of the groups in this section has two cell structure diagrams, which are to be interpreted as follows:

a centre of rotation of order two (180°).
a centre of rotation of order three (120°).
a centre of rotation of order four (90°).
a centre of rotation of order six (60°).
an axis of reflection.
an axis of glide reflection.

On the right-hand side diagrams, different equivalence classes of symmetry elements are colored (and rotated) differently.

The brown or yellow area indicates a fundamental domain, i.e. the smallest part of the pattern that is repeated.

The diagrams on the right show the cell of the lattice corresponding to the smallest translations; those on the left sometimes show a larger area.

Read more about this topic:  Wallpaper Group

Famous quotes containing the words seventeen and/or groups:

    When you are seventeen you aren’t really serious.
    Arthur Rimbaud (1854–1891)

    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)