Geometria fractal

Abstract

This work will be addressed Fractal Geometry named in the early 80s by Benoit Mandelbrot, considered by many the father of this geometry. This new geometry was characterized by containing figures which have fractional dimension and the self-similarity of these figures, which are very irregular to be described in traditional Euclidean geometric language. Without mathematical rigor, Fractal Geometry can be defined as objects that exhibit fractal self similarity, ie, a fractal is an object whose geometry is repeated infinitely in smaller portions, similar to the object itself. It will be presented different definitions of fractals that have emerged with the improvement of his theory. Having a better understanding of fractal geometry, it will be explored one of the main aspects that distinguish Fractal and Euclidean geometry fractional dimensions. This paper presents a brief discussion of some definitions related to fractal geometry, considered the future of mathematics.