Fractals

Links: hypertext transfer protocol://www.youtube.com/ bewitch?v=jbdPUiih020 http://en.wikipedia.org/wiki/Fractal http://www.jracademy.com/jtucek/ maths/fractals.html http://mathworld.wolfram.com/MandelbrotSet.html http://www.youtube.com/watch?v=vuyRCfhCZT0& run around=related http://www.youtube.com/watch?v=JA5QoTMvsiE&NR=1 A fractal is generally a unsmooth or fragmented geometric shape that butt halt be subdivided into parts, each of which is (at least approximately) a reduced- coat copy of the whole, a property called self-similarity. This means that they usually contain little copies of themselves interred deep within the original. One of the first people to arrest found mathematics in fractals was Helge von Koch. He created a chipping that is now called a Koch Curve or Snowflake. To create this diagram you must start with and equilateral triangle and replace the amount of money third of every line segment with a pas de deux of the line segm ents that for an equilateral bump. The Koch snowflake is the result of an boundless number of the iterations, and has infinite length, while the area remains finite, or the same. Similar constructions are sometimes called monster curves. Benoît Mandelbrot started take self-similarity papers such as How Long Is the Coast of Britain?

statistical Self-Similarity and Fractional Dimensions. He also coined the term fractal in 1975. British map makers discovered the first problem with measuring the lantern skid of Britan long before computers existed. On a map that is zoomed out, the coastline looks to be a cert ain length, but once you look at a more deta! iled map, the coastline looks to be almost three-fold the size of the last. On the world map, the coastline of Britain doesnt have all the bays and harbors, and tear shoot down once you continue to get more detailed maps, no map will get all the the littles coves and even microscopic spaces in between grains of sand. Therefor proving that there is no pack length of the coastline. (A finite area {Britain}, being...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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