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Introduction Cantor Set Dragon Curve Mandelbrot Set Other Fractals Significance & Applications References


Fractals

    What are fractals? “A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop.” (Wolfe & Tyrrell) How are they related to mathematics? Well, this question is one that is going to be answered. Fractals can be found in several places. They can be found in nature and in mathematics. Some examples of fractals in nature and mathematics are plants, buildings, structures, and art. They can also be created. This means that they could be patterns that look like they might be in nature but have just been created on the computer. From the fractals that are seen in plants, buildings, structures, and art they are all connected. The way to know that the different types of fractals are connected is from the mathematics and the history. Continue reading and you will learn about the history and mathematics of several fractals.