Day: May 1, 2016

Fractal Geometry

Fractal Geometry

Fractal Geometry                       

        05/01/16

 

Have you ever that it many natural objects, there seems to be some form of a repeating pattern? Like how the branches of a tree look similar to the route of a tree? If you are able to discern this, then you probably have a mathematical mind, because you have just stumbled on the field of fractal geometry. Fractal geometry deals with ever repeating sets of geometric patterns, where the patterns branches of from the end and becomes smaller and so on. Basically, the pattern will repeat at every scale. Fractal geometry can be found everywhere, from art to fossils to 3-D animation techniques to coastlines to clouds and even in complex physical and biological systems!

Image:

A classic example of a fractal set, A sierpinski triangle. Notice how the triforce pattern ever repeats on the triangular regions.