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)
“We begin with friendships, and all our youth is a reconnoitering and recruiting of the holy fraternity they shall combine for the salvation of men. But so the remoter stars seem a nebula of united light, yet there is no group which a telescope will not resolve; and the dearest friends are separated by impassable gulfs.”
—Ralph Waldo Emerson (1803–1882)