Tessellations

Tessellation Contents 1. Introduction 2. History 3. Wallpaper groups 4. Tessellations and color 5. Tessellations with quadrilaterals 6. rhythmical 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 buy the farm street sidewalk in Zakopane, Poland. A honeycomb is an casing of a natural tessellated structure. Tessellation is the process of creating a level plane using the repetition of a geometric photo with no overlaps and no gaps. Generalizations to higher dimensions ar also possible. Tessellations ofttimes appeargond in the art of M. C. Escher, who was inspired by nationaling the Moresque persona of symmetry in the Alhambra tiles during a visit in 1922. Tessellations argon seen throug hout art history, from ancient architecture to  mod art. In Latin, tessella is a piddling 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 quaternity).

It corresponds with the allday term tiling which refers to applications of tessellations, often do of glassed 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 temperament studies of tessellations when he wrote about regular and semi regular tessellation, whic! h are coverings of a plane with regular polygons. Some two shock years later in 1891, the Russian crystallographer Yevgraf Fyodorov proved that every periodic tiling of the plane features one of seventeen alter groups of isometrics. Fyodorovs work marked the unofficial beginning of the mathematical battleground 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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