The 17 wallpaper groups are the mathematically possible ways to create surface patterns.
To change the symmetry of your pattern, click one of the 17 colorful symmetry buttons in the Parameters
panel.
The symmetry buttons have tooltips that give you an idea of what operations
SymmetryMill performs to build the pattern. You can change between the
Descriptive (default) and
Mathematical tooltips in the
Preferences dialog.
The mathematical tooltips use the standard mathematical notations for the planar symmetry
groups.
Changing the symmetry typically changes the shape of the control path and, therefore, your
pattern’s motif. By moving the control path’s anchors and sides using the
Arrow tool
in the
Source Image window, you can change the motif within restrictions imposed by symmetry laws.