# Fractal Dimension Mandelbrot Explained

What fractal dimension is, and how this is the core concept defining what fractals themselves are.
Check out Affirm careers here: https://affirmjobs.3b1b.co
Patreon page: https://www.patreon.com/3blue1brown
(A few people have mentioned the affirm link doesn't work for them. You can also apply through a link like this: https://jobs.lever.co/affirm/8eb4a65b-df81-4a31-a0e2-da4aafedfa6d?lever-origin=agency&lever-source%5B%5D=3blue1brown . If you add those same query parameters to whatever particular application url you ultimately use, it has the same effect.)
One technical note: It's possible to have fractals with an integer dimension. The example to have in mind is some *very* rough curve, which just so happens to achieve roughness level exactly 2. Slightly rough might be around 1.1-dimension; quite rough could be 1.5; but a very rough curve could get up to 2.0 (or more). A classic example of this is the boundary of the Mandelbrot set. Th