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Tessellation

A 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. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.

History, In mathematics & In nature

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Overview

History

Etymology

In mathematics

In art

In manufacturing

In nature

In puzzles and recreational mathematics

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Tessellation

Nodes237
Edges236
Triples173
Avg. degree1.99
Density0.008439
Components1

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Tessellation

Top relations

related to Sources · 35
Tessellation → Abrams, Birth, Branko, Cambridge University Press, Coxeter, Dover Publications, Escher, Freeman, Gardner, Grünbaum, Gullberg, Honeycombs, Ian, ISBN, Jan, Locher, Martin, Mathematics From, New Concise NAL, Nicolson
related to In art · 17
Tessellation → Alhambra, Circle Limit, Circle Limit IV, Escher, For, Girih, In, Islamic, La Mezquita, Later, Moorish, Mosaic, No, Some, Spain, Tessellations, Zellige
related to In puzzles and recreational mathematics · 15
Tessellation → An, Authors, Dudeney, For, Frederick Henle, Gardner, Gardner's, Henry Dudeney, Inspired, James, Marjorie Rice, Martin Gardner, Scientific American, Squaring, Tessellations
related to External links · 14
Tessellation → Archived, David, Dirk Frettlöh, Edmund Harriss, Eppstein, Escher, Hyperbolic Tiling, May, Tegula, Tessellations, The Geometry Junkyard, Tilings Encyclopedia, Wayback Machine, Wolfram MathWorld
related to overview · 11
Tessellation → Among, Any, Common, Escher, For, If, Irregular, Many, The, There, These
related to Tessellations in higher dimensions · 10
Tessellation → Any, Certain, However, In, Naturally, Platonic, Similarly, Tessellations, Uniform, Wythoff
related to Tessellations with polygons · 8
Tessellation → Any, As, Copies, Equivalently, For, Next, Such, We
related to Tessellations and colour · 7
Tessellation → Euclidean, Here, Sometimes, The, This, To, When
related to Introduction to tessellations · 6
Tessellation → An, For, In, Mathematicians, The, Using
related to Voronoi tilings · 6
Tessellation → Delaunay, Dirichlet, The Delaunay, The Voronoi, Think, Voronoi

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Important terminology

tiling plane tiles tilings tessellations one tile regular used patterns polygons shape made symmetry example two three using often vertex

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Tessellationis atiling made of materials such as cemented ceramic squares or hexagons0.90text
Tessellationis aspiral monohedral tiling0.90text
Tessellationis ahighly symmetric0.90text
Tessellationis amathematical model for the formation of mudcracks0.90text
cemented ceramic squares or hexagonsinstance ofcan be defined in the geometry of higher dimensions.A real physical tessellation is a tiling made of materials0.80text
providing durableinstance ofor may have functions0.80text
water-resistant pavementinstance ofor may have functions0.80text
floorinstance ofor may have functions0.80text
or wall coveringsinstance ofor may have functions0.80text
in the Moroccan architectureinstance oftessellations were used in Ancient Rome and in Islamic art0.80text
decorative geometric tiling of the Alhambra palaceinstance oftessellations were used in Ancient Rome and in Islamic art0.80text
pentagonsinstance ofIrregular tessellations can also be made from other shapes0.80text

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