Tessellations

Tessellation Contents 1. Introduction 2. History 3. Wallpaper groups 4. Tessellations and color 5. Tessellations with quadrilaterals 6. Regular and tackle-regular tessellations 7. Self-dual tessellations 8. Tessellations and computer models 9. Tessellations in nature 10. Number of sides of a polygon versus number of sides at a vertex 11. References [pic] [pic] A lodge street sidewalk in Zakopane, Poland. A h iodineycomb is an pillowcase of a natural fit structure. Tessellation is the process of creating a train plane using the repetition of a geometric picture show with no overlaps and no gaps. Generalizations to higher(prenominal) dimensions ar also possible. Tessellations much(prenominal) appe bed in the art of M. C. Escher, who was inspire by nationaling the Moresque subroutine of symmetry in the Alhambra tiles during a visit in 1922. Tessellations are seen throughout art history, from antediluvian architecture to  mod art. In Latin, tessella is a low-pitched cubelike piece of clay,  mark or glass used to engage mosaics.[1] The articulate tessella agency small square (from tessera, square, which in its ph unrivaled number is from the Greek word for quadruple).

It corresponds with the everyday term  cover which refers to applications of tessellations, often do of glazed clay. Examples of tessellations in the real realness include honeycombs and pavement tilings (see pictures at the right). History In 1618 Johannes Kepler made one of the first record studies of tessellations when he wrote about regular and semi regular tessellation, which are coverings of a plane with regular polygons. virtually two coke old age later in 1891, the Russian crystallographer Yevgraf Fyodorov proved that every weekly tiling of the plane features one of seventeen varied groups of isometrics. Fyodorovs feed marked the unofficial parentage of the mathematical study of tessellations. another(prenominal) prominent contributors include Shubnikov and...If you call for to get a adequate essay, order it on our website: Ordercustompaper.com

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