Honorable Mention, 2017

Newton's method is a way of finding where a function is equal to zero. It's simple and generally very effective, but small changes in the input can lead to large differences in the output. Though this makes its implementation more difficult, it also creates a fractal structure called a Newton fractal. In this image, Newton's method was applied to many different inputs to graph the fractal: color represents the output of the algorithm, and shading represents its convergence time.

Credit:
Arun Debray
Mathematics Graduate Student