These images were created by students in ME413 - Numerical Methods in Mechanical Engineering at Lehigh University.
For this project, students used Newton-Raphson iteration to locate roots (zeros) of functions and then applied this technique to build Basins of Attraction artwork. These images are color-coded to show zones in the complex plane in which the seed points for Newton-Raphson iteration will all gravitate to the same root, or in some cases, the number of iteration steps that were needed to find the root. Each image contains data from at least one million root-finding operations.
Review the entries to choose your favorite, then click on the voting link below and select an entry number from the dropdown list.