![]() ![]() Tessellations are sometimes employed for decorative effect in quilting. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the Moroccan architecture and decorative geometric tiling of the Alhambra palace. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor, or wall coverings. A tessellation of space, also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions.Ī real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. A tiling that lacks a repeating pattern is called "non-periodic". The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.Ī periodic tiling has a repeating pattern. Send us feedback about these examples.An example of non‑periodicity due to another orientation of one tile out of an infinite number of identical tiles.Ī tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. These examples are programmatically compiled from various online sources to illustrate current usage of the word 'tessellation.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Brian Westover, PCMAG, 8 July 2022 See More 2016 Both exercise graphics and compute shaders, but one focuses on hardware tessellation and the other on the OpenGL application programming interface (API). Nathaniel Scharping, Discover Magazine, 19 Dec. 2022 The true impact of roads seems to be the gradual tessellation of once-cohesive landscapes. Nathaniel Scharping, Discover Magazine, 29 Nov. 2023 The path of the International Space Station, as mapped over a tessellation of Narukawa's world map. 2023 Closerie Falbala was made to energise, and stepping inside feels like being within an ornament, a tender space, Logological Cabinet, was meant to be an intense experience, painted in his L'Hourloupe style from floor to ceiling in swirling tessellations. Manon Bischoff, Scientific American, 10 Apr. ![]() Adrienne Bernhard, Popular Mechanics, 15 June 2023 This tells us that the tessellation must be aperiodic. Elise Cutts, Quanta Magazine, 21 June 2023 The concept of aperiodic geometry has existed for at least 1,000 years from Islamic mosaics and tessellations to ancient marquetry designs and silk weavings. Manon Bischoff, Scientific American, 22 June 2023 Each tessellation should plot to exactly one point within the plane. Recent Examples on the Web Doris Schattschneider, a retired mathematician affiliated with Moravian University with expertise in tessellations, had been skeptical about the likelihood of a true einstein ever being discovered. ![]()
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