# Fractal Structures Inifinitely repeating, self-similar structures. ## Fractals in Mathematics In [mathematics](https://en.m.wikipedia.org/wiki/Mathematics "Mathematics"), a **fractal** is a geometric shape containing detailed structure at arbitrarily small scales, usually having a [fractal dimension](https://en.m.wikipedia.org/wiki/Fractal_dimension "Fractal dimension") strictly exceeding the [topological dimension](https://en.m.wikipedia.org/wiki/Topological_dimension "Topological dimension"). Many fractals appear similar at various scales, as illustrated in successive magnifications of the [Mandelbrot set](https://en.m.wikipedia.org/wiki/Mandelbrot_set "Mandelbrot set"). For further reading, see [Fractal - Wikipedia](https://en.m.wikipedia.org/wiki/Fractal) ## Mandelbrot Sets [Mandelbrot set - Wikipedia](https://en.m.wikipedia.org/wiki/Mandelbrot_set) ##### Relevant Tags > #vfn-concepts