tassellazione

Tassellazione, also known as tessellation or tiling, is the process of creating a pattern by repeating a geometric shape or shapes so that they cover a surface without any gaps or overlaps. The shapes used in a tessellation are called tiles. For a shape to be able to tessellate a plane, its angles must add up to 360 degrees when they meet at a vertex, or a point where multiple tiles come together. Regular polygons like squares, equilateral triangles, and regular hexagons can tessellate the plane on their own.

There are many types of tessellations. Regular tessellations use only one type of regular polygon. Semi-regular tessellations, also known as Archimedean tessellations, use two or more types of regular polygons, with the arrangement of polygons being the same at every vertex. Non-regular tessellations can involve irregular polygons or combinations of different shapes. The concept of tessellation is found in various fields, including art, architecture, and mathematics. M.C. Escher is a famous artist whose works often feature intricate tessellations. In mathematics, tessellations are studied within the field of geometry, exploring the properties and classifications of different tiling patterns.