Term coined by Benoit Mandelbrot in 1975, referring to objects built using recursion, where some aspect of the limiting object is infinite and another is finite, and where at any iteration, some piece of the object is a scaled down version of the previous iteration.

A term coined by Benoit Mandelbrot to refer to items with fractional dimensions as opposed to the integer dimensions such as 1, 2 and 3 associated with length, area and volume. Often used to refer to a structure bearing statistically similar details over a wide range of scales.

Object which is self-similar at all scales. Regardless of scale the same level of detail and appearance is present.

an algorithm, or shape, characterized by self-similarity and produced by recursive sub-division; more generally the branch of mathematics named and explored by Benoit Mandelbrot