Tessellations

Tessellation Contents 1. Introduction 2. History 3. Wallpaper groups 4. Tessellations and color 5. Tessellations with quadrilaterals 6. secureness and semi-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 contain street sidewalk in Zakopane, Poland. A honeycomb is an guinea pig of a natural tessellated structure. Tessellation is the process of creating a aim plane using the repetition of a geometric moving picture with no overlaps and no gaps. Generalizations to higher dimensions ar also possible. Tessellations much appe ard in the art of M. C. Escher, who was inspired by nationaling the Moresque spend of symmetry in the Alhambra tiles during a visit in 1922. Tessellations be seen throughou t art history, from ancient architecture to  mod art. In Latin, tessella is a little(a) cubical piece of clay,  mark or glass used to make mosaics.[1] The articulate tessella agency small square (from tessera, square, which in its turn is from the Greek word for 4).

It corresponds with the eachday term tiling which refers to applications of tessellations, often do of shiny clay. Examples of tessellations in the real world include honeycombs and pavement tilings (see pictures at the right). History In 1618 Johannes Kepler made one of the first character studies of tessellations when he w rote about regular and semi regular tessella! tion, which are coverings of a plane with regular polygons. Some two century years later in 1891, the Russian crystallographer Yevgraf Fyodorov proved that every periodic tiling of the plane features one of seventeen change groups of isometrics. Fyodorovs work marked the unofficial beginning of the mathematical resume of tessellations. Other prominent contributors include Shubnikov and...If you want to get a full essay, order it on our website: BestEssayCheap.com

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