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.

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