|Hide| Friezes of the r1 group possess only translation symmetry regarding a certain axis.

|Hide| Friezes of the r2 group are built not only with the help of translation, but with the rotation of the order 2 as well.

|Hide| Elements of the friezes from r1m group possess reflection symmetry regarding the vertical axis.

|Hide| Elements of the friezes from r11m group possess reflection symmetry regarding the horizontal axis.

|Hide| Elements of the friezes from r2mm group possess reflection symmetry regarding both — horizontal and vertical — axes.

|Hide| Elements of the friezes from r11g group possess glide reflection regarding the translation axis.

|Hide| Elements of the friezes from r2mg group possess glide reflection and reflection as well.

A linear ornament (a frieze) is usually used where it is needed to fence in a surface or divide it into several parts. In practice, a frieze can be placed not only along a straight line, but along a curved line or polygonal path as well. In any case a translation of the elements follows the curves and fractures of the axis.

A friezecan possess other types of symmetryin adition to translational, and the symmetry of the frieze determines which. On this basis, frieses can be divided into seven groups.

|r1| |r2| |r1m| |r11m| |r2mm| |r11g| |r2mg|