Tilings
Tilings refer to the arrangement of shapes, often polygons, to cover a surface without any gaps or overlaps. This concept is commonly seen in art, architecture, and mathematics. A well-known example of tiling is the work of M.C. Escher, who created intricate patterns that seamlessly fit together.
In mathematics, tilings can be studied through the lens of geometry and combinatorics. Different types of tilings include regular tilings, where identical shapes are used, and irregular tilings, which involve a variety of shapes. Understanding tilings can help in fields like computer graphics and material science.