**The Mandelbrot Set: The Most Famous Fractal in Nature**

by Owen Borville

August 16, 2021

Mathematics, Science

The Mandelbrot Set is a mathematical set of points that produce a pattern with a distinctive boundary and recognizable two dimensional shape. The Mandelbrot Set is also considered the most famous fractal pattern.

The length of a coastline and many other fractal patterns in nature can be described with the Mandelbrot Set.

The mathematical equation used to describe Mandelbrot's Set is f(z)=z^2+C.

The Mandelbrot Set is named in honor of mathematician Benoit Mandelbrot.

The Mandelbrot Set of points can be described when plotted on a graph and colored to indicate those points that are included in the set and those that are not produce a classic pear or heart shape and corresponding adjacent circles while this pattern is repeated infinitely at smaller scales.