Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Frieze group
open-in-new
<p>In mathematics, a frieze or frieze pattern is a two-dimensional design that repeats in one direction. The term is derived from <a href="/facts/Frieze/jltsW5LW">friezes</a> in <a href="/facts/Architecture/FccThs8G">architecture</a> and <a href="/facts/Decorative_arts/w0TpPKvu">decorative arts</a>, where such repeating patterns are often used. Frieze patterns can be classified into seven types according to their symmetries. The set of <a href="/facts/Symmetry/hpu7DK8p">symmetries</a> of a frieze pattern is called a frieze group. </p><p>Frieze groups are two-dimensional <a href="/facts/Line_group/tcAFjLCy">line groups</a>, having repetition in only one direction. They are related to the more complex <a href="/facts/Wallpaper_group/egxEaC8q">wallpaper groups</a>, which classify patterns that are repetitive in two directions, and <a href="/facts/Crystallographic_group/2XQx0J7M">crystallographic groups</a>, which classify patterns that are repetitive in three directions. </p>