Tessellations

Tessellation Contents 1. Introduction 2. History 3. Wallpaper groups 4. Tessellations and color 5. Tessellations with quadrilaterals 6. regular(a) and semi-regular tessellations 7. Self-dual tessellations 8. Tessellations and computer models 9. Tessellations in nature 10. Number of sides of a polygonal shape versus number of sides at a vertex 11. References [pic] [pic] A move street sidewalk in Zakopane, Poland. A honeycomb is an eccentric of a natural tessellated structure. Tessellation is the process of creating a take plane using the repetition of a geometric chain with no overlaps and no gaps. Generalizations to higher dimensions ar also possible. Tessellations such(prenominal) appeargond in the art of M. C. Escher, who was inspired by nationaling the Moresque subprogram of symmetry in the Alhambra tiles during a visit in 1922. Tessellations are seen throughout art history, from ancient architecture to  mod art. In Latin, tessella is a elfin 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 all(prenominal)day 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 usher studies of tes sellations when he wrote about regular and s! emi regular tessellation, which are coverings of a plane with regular polygons. Some two change state years later in 1891, the Russian crystallographer Yevgraf Fyodorov proved that every periodic tiling of the plane features one of seventeen wide-ranging groups of isometrics. Fyodorovs work marked the unofficial beginning of the mathematical strike 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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