![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Gosper_6.gif/640px-Gosper_6.gif&w=640&q=50)
Fractal curve
Mathematical curve whose shape is a fractal / From Wikipedia, the free encyclopedia
A fractal curve is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified, that is, its graph takes the form of a fractal.[1] In general, fractal curves are nowhere rectifiable curves — that is, they do not have finite length — and every subarc longer than a single point has infinite length.[2]
![Thumb image](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c1/Gosper_6.gif/320px-Gosper_6.gif)
A famous example is the boundary of the Mandelbrot set.