What is a fractal?
A fractal is a geometric object whose basic structure is repeated in different scales. The term fractal was proposed by Benoît Mandelbrot in 1975 to describe these objects.
Benoît Mandelbrot
In many cases a fractal can be generated by a recursive or iterative process capable of producing self-similar structures regardless of the specific scale. Fractals are geometric structures that combine and structure irregularity. Although many natural structures like structures have a fractal mathematical fractal is an object that has at least one of the following characteristics: it scales arbitrarily detail large or small, is too irregular to be described in traditional geometric terms, is self-similarity exact or statistics, its Hausdorff-Besicovitch dimension is greater than its topological dimension, or is defined recursively.
The problem with any definition of a fractal is that there are objects that would draw a fractal, but do not meet all the above properties. For example, fractal nature, such as clouds, mountains, and blood vessels, have upper and lower limits in detail, there is no precise term for "too rough" there are different ways to define "dimension" to rational values, and not all fractal is defined recursively. Stochastic fractals are related to theory chaos.
For you to stay with a simple idea of \u200b\u200bwhat a fractal, for all the above is a very theoretical definition basically boils down to an indefinite process of exponential type, I leave you with this video Fractals in Nature .
Benoît Mandelbrot In many cases a fractal can be generated by a recursive or iterative process capable of producing self-similar structures regardless of the specific scale. Fractals are geometric structures that combine and structure irregularity. Although many natural structures like structures have a fractal mathematical fractal is an object that has at least one of the following characteristics: it scales arbitrarily detail large or small, is too irregular to be described in traditional geometric terms, is self-similarity exact or statistics, its Hausdorff-Besicovitch dimension is greater than its topological dimension, or is defined recursively.
The problem with any definition of a fractal is that there are objects that would draw a fractal, but do not meet all the above properties. For example, fractal nature, such as clouds, mountains, and blood vessels, have upper and lower limits in detail, there is no precise term for "too rough" there are different ways to define "dimension" to rational values, and not all fractal is defined recursively. Stochastic fractals are related to theory chaos. 
For you to stay with a simple idea of \u200b\u200bwhat a fractal, for all the above is a very theoretical definition basically boils down to an indefinite process of exponential type, I leave you with this video Fractals in Nature . 
