Frieze Patterns . In mathematics, frieze patterns have translational symmetry . Groups of isometries that keep a given straight line invariant and that include translations along the line, are called frieze groups with center at this line. So are their compositions.
Glide reflection is a simultaneous translation and reflection in the center line.
In all, there are 7 frieze patterns. They are listed in the table below along with the corresponding kinds of symmetry. On a lattice, nodes are assigned integer values that obey certain rules. In the applet below, you can manipulated the numbers at the nodes of a lattice by just clicking on them. If you click a little to the right from a nodes center, the number will increase by 1.