A frieze group is a mathematical concept to classify designs on two-dimensional surfaces which are repetitive in one direction, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. The mathematical study of such patterns reveals that exactly 7 different types of patterns can occur.
Frieze groups are two-dimensional line groups, from having only one direction of repeat, and they are related to the more complex wallpaper groups, which classify patterns that are repetitive in two directions.
As with wallpaper groups, a frieze group is often visualised by a simple periodic pattern in the category concerned.
Read more about Frieze Group: General, Descriptions of The Seven Frieze Groups
Famous quotes containing the words frieze and/or group:
“And the serial continues:
Pain, expiation, delight, more pain,
A frieze that lengthens continually, in the lucky way
Friezes do, and no plot is produced,
Nothing you could hang an identifying question on.”
—John Ashbery (b. 1927)
“Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.”
—Diana Crane (b. 1933)