Frieze Patterns
Frieze patterns are repeating designs that extend infinitely in one direction, characterized by their symmetry and regularity. They can be found in various forms of art and architecture, often seen in decorative borders or tiles. Frieze patterns are classified into seven distinct types based on their symmetry properties, including translations, reflections, and rotations.
These patterns are named after the frieze, a horizontal band of decoration commonly found in classical architecture. Frieze patterns can also be studied mathematically, as they relate to concepts in group theory and geometry. Their unique properties make them a fascinating subject in both art and mathematics.