noun
(mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension, corresponding to a geometric figure or object that is self-similar at arbitrarily small scales and thus has infinite complexity.
(by extension) An object, system, or idea that exhibits a fractal-like property, such as the property of self-similarity at numerous but not infinitely many scales.
adjective
(mathematics) Having the form of a fractal; having to do with fractals.
(by extension, sometimes figurative) Exhibiting a fractal-like property.