Tessellate

Tessellate

Tessellate is a term in design and art that refers to the process of creating a mosaic or pattern by arranging shapes in a repeated and interlocking manner without gaps or overlaps. The resulting tessellation forms a continuous surface that can extend infinitely in all directions. Tessellations are found in various fields, including graphic design, architecture, and textile design. The concept of tessellation has its roots in ancient art and architecture, with examples found in Islamic art, Roman mosaics, and Moorish decorative tiles. In the early 20th century, the Dutch graphic artist M.C. Escher popularized tessellations through his intricate and mind-bending designs that often featured interlocking animal or human figures. Mathematically, a tessellation is a tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. Regular tessellations involve the repetition of a single regular polygon, such as squares, equilateral triangles, or hexagons. Semi-regular tessellations combine two or more regular polygons in a specific pattern. Irregular tessellations, like those in Escher's work, use irregular polygons or shapes to create unique patterns. The study of tessellations has both artistic and scientific significance, with applications in fields such as crystallography, computer graphics, and design.

tessellation, pattern, mosaic, tiling

— John Armstrong