Welcome to the home of fractals. Enjoy an array of various exciting and interesting shapes. These fractals range from very famous to very original, but all share the same ideas of recursion and self-similarity.

In mathematics, a **fractal** is a subset of Euclidean space with a fractal dimension that strictly exceeds its topological dimension. Fractals appear the same at different scales, as illustrated in successive magnifications of the Mandelbrot set. Fractals exhibit similar patterns at increasingly smaller scales, a property 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, it is called affine self-similar. Fractal geometry lies within the mathematical branch of measure theory.

Meet some famous and beautiful fractals. Even if you have met them before, they are still mesmerising.

See some less well known fractals and even some that I made up! All these fractals are made up of a repeated iterator.