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The discovery of the fractal and fractal geometry is considered by many to be one of the important discoveries of our time, yet most of us are unfamiliar with what a fractal is. The simplest and most basic description of a fractal is an object characterized by the repetition of similar patterns at ever diminishing scales. A fern is an excellent example of a natural fractal. Each small leaflet is similar in shape to the branch it is a part of and the branch resembles the entire plant.
We are not only unfamiliar with what fractals are but how their geometry can be applied. It has applications in a myriad of disciplines. Scientists use fractal geometry in medicine, predictive geology and botany. Engineers and mathematicians use it for computer algorithms and in manufacturing. Economists use fractal geometry in chaos theory and therefore predictive modeling. Social scientists use fractal geometry to explain the behavior of cultures and their development. Contemporary computer artists generate beautiful, complex fractal images.
This blog will familiarize you with fractals and how to identify them. You will learn the five components of a fractal. Then you will see how artists use fractals and how fractals can relate math to our everyday environment.