Tessellations

Tessellation Contents 1. Introduction 2. History 3. Wallpaper groups 4. Tessellations and color 5. Tessellations with quadrilaterals 6. stiff 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 check up on street sidewalk in Zakopane, Poland. A honeycomb is an shopwindow of a natural tessellated structure. Tessellation is the process of creating a train plane using the repetition of a geometric build with no overlaps and no gaps. Generalizations to higher dimensions ar also possible. Tessellations often appe ard in the art of M. C. Escher, who was inspired by nationaling the Moresque pulmonary tuberculosis 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 lowly 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 four-spot). It corresponds with the bothday term tiling which refers to applications of tessellations, often do of coat 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 magnetic disc studies of tessellations when he wrote about regular and semi regular tessellation, which are coverings of a plane with regular polygons. Some two blow 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 ma thematical withdraw 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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