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Frieze Patterns

Frieze patterns are two dimensional patterns that respect certain groups of symmetries and are repetitive in only one direction. In this presentation we will briefly see what a frieze pattern is in architecture/art and see how that compares to frieze patterns in mathematics. There are 7 frieze groups that all frieze patterns follow. They include: step, hop, spinning hop, sidle, spinning sidle, jump and spinning jump. We will also look at polygons with n sides and see how they are related to frieze patterns and their composition. There are three main types of friezes that we will focus on, Conway-Coxeter friezes, additive friezes, and NIM friezes.