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.  These graphical figures are formed from multiple iterations of mathematical models. Self-similarity is a strong property found in most fractals that we will explore later on. The two sets that will be discussed here are Julia sets and the Mandelbrot set. Each of these sets was named for a mathematician who lived in this century. Gaston Julia (1873-1978) discovered the concepts for which many fractals are based. In 1918, at the age of 25 Julia published his work that would make him known in the math centers of his day. However, Julia and his work soon fell by the wayside and would remain stagnant for the next 60 years. It would be a 54 year old man named Benoit Mandelbrot who would shake the dust and the cobwebs off of Julia’s work. In the late 1970’s, computers were coming to the forefront of mainstream technology. When Mandelbrot took the work of Julia and added computer graphics, fractal geometry was born. (Wertenberger) (Foundation)

estos son algunos fractales que hice para mi clase de matematicas:

mi diseño libre

                                                       Koch´s snowflake

                                                            sierpinski´s triangle

In conclusion, fractals are geometrical figures that have identical repeating patterns on a scale that reduces infinitely. At first, when looking at the colorful picture of a fractal, one might think that it is just a creative piece of artwork. However after studying the mathematical background behind them, they have so much more depth than being just a piece of art. Benoit Mandelbrot is considered to be the father of fractal geometry and coined the term, “fractal.”

http://www.csun.edu/~acl23054/aclewis.html