Symmetries of Ornamental Friezes

This lecture covers the mathematical definition of a frieze pattern, which is a plane figure repeated indefinitely by translations along a horizontal axis. It introduces the concept of motifs in decorative friezes, discussing the symmetries of different types of friezes. The instructor explains the generation of symmetries in friezes through combinations of translations and rotations, illustrating with examples on Greek vases. The lecture also explores the enrichment of motifs with additional generative symmetries, resulting in various types of friezes. Furthermore, it delves into extending linear friezes to plane tilings, presenting 17 types of tilings used in architectural decorations like facades, floor tiles, and wall mosaics.