Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media. 

Fractal art developed from the mid-1980s onwards. It is a genre of computer art and digital art which are part of new media art. The mathematical beauty of fractals lies at the intersection of generative art and computer art. They combine to produce a type of abstract art. 

In mathematics, a Fractal is a subset of a Euclidean space for which the fractal dimension strictly exceeds the topological dimension. Fractals appear the same at different levels, because of this, fractals are encountered ubiquitously in nature. Fractals exhibit similar patterns at increasingly small scales called self similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger Sponge or Sierpinski Triangle (Example Below) , it is called affine self-similar. Fractal geometry lies within the mathematical branch of topology.