Discrete groups | Euclidean symmetries

Frieze group

In mathematics, a frieze or frieze pattern is a two-dimensional design that repeats in one direction. Such patterns occur frequently in architecture and decorative art. Frieze patterns can be classified into seven types according to their symmetries. The set of symmetries of a frieze pattern is called a frieze group. Frieze groups are two-dimensional line groups, having repetition in only one direction. They are related to the more complex wallpaper groups, which classify patterns that are repetitive in two directions, and crystallographic groups, which classify patterns that are repetitive in three directions. (Wikipedia).

Frieze group
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Related pages

Infinite dihedral group | Translation (geometry) | Klein four-group | Symmetry | Glide reflection | Degrees of freedom (physics and chemistry) | Group (mathematics) | Trivial group | Group isomorphism | Space group | Generating set of a group | Orbifold notation | Rotation | Symmetry group | Wallpaper group | Point groups in three dimensions | Rod group | Isometry | Line group | Cyclic group | Subgroup | Coxeter notation | Reflection (mathematics) | Abelian group