Ceramic glaze
From The Art and Popular Culture Encyclopedia
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Tessellation is the process of creating a two-dimensional plane using the repetition of a geometric shape with no overlaps and no gaps. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M. C. Escher, who was inspired by studying the Moorish use of symmetry in the Alhambra tiles during a visit in 1922. Tessellations are seen throughout art history, from ancient architecture to modern art.
In Latin, tessella is a small cubical piece of clay, stone or glass used to make mosaics. The word "tessella" means "small square" (from "tessera", square, which in its turn is from the Greek word for "four"). It corresponds with the everyday term tiling which refers to applications of tessellations, often made of glazed clay. Examples of tessellations in the real world include honeycombs and pavement tilings (see pictures at the right).
See also
- Types of tessellation
- Aperiodic tiling
- List of regular polytopes
- List of uniform tilings
- Pinwheel tiling
- Tilings of regular polygons
- Uniform tessellation
- Voronoi tessellation
- Mathematics
- Coxeter groups – algebraic groups that can be used to find tessellations
- Girih tiles
- Triangulation (geometry)
- Uniform tiling
- Uniform tilings in hyperbolic plane
- Wallpaper group – seventeen types of two-dimensional repetitive patterns
- Wang tiles
- Related topics
- Jigsaw puzzle
- Mathematics and fiber arts
- Nikolas Schiller – artist using tessellations of aerial photographs
- Patterns in nature
- Polyiamond and Polyomino — figures consisting of regular triangles and squares respectively, often appearing in tiling puzzles
- Quilt block designs and quilt blocks
- Tiling puzzle
- Trianglepoint – needlepoint with polyiamonds (equilateral triangles)
