Tessellation
Tessellation of a flat surface refers to the repeated placement of shapes with no overlaps and no gaps. These shapes are also called tiles. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.
Tessellation Media
A temple mosaic from the ancient Sumerian city of Uruk IV (3400–3100 BC), showing a tessellation pattern in coloured tiles
A rhombitrihexagonal tiling: tiled floor in the Archeological Museum of Seville, Spain, using square, triangle, and hexagon prototiles
The elaborate and colourful zellige tessellations of glazed tiles at the Alhambra in Spain that attracted the attention of M. C. Escher
An example of a non-edge‑to‑edge tiling: the 15th convex monohedral pentagonal tiling, discovered in 2015
A Pythagorean tiling is not an edge‑to‑edge tiling.
This tessellated, monohedral street pavement uses curved shapes instead of polygons. It belongs to wallpaper group p3.
A Penrose tiling, with several symmetries, but no periodic repetitions
A set of 13 Wang tiles that tile the plane only aperiodically
Random Truchet tiling
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