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)
“Now, honestly: if a large group of ... demonstrators blocked the entrances to St. Patrick’s Cathedral every Sunday for years, making it impossible for worshipers to get inside the church without someone escorting them through screaming crowds, wouldn’t some judge rule that those protesters could keep protesting, but behind police lines and out of the doorways?”
—Anna Quindlen (b. 1953)