The Julia Set is named after its discoverer Gaston Julia. There are infinitely many Julia sets (one for each point on the complex plane) but the interesting ones tend to be near the edge of the Mandelbrot set. In the images below, the constant used for each Julia set is based on its location on the complex plane, so a set centered at -1.5+0.5i is created using that constant. In the bottom left image, the Julia sets get smaller and smaller as they approach the boundary of the M-set. In the bottom right image, the Julia sets are of a constant size and are arranged in a grid.

Caution: Clicking the picture below will load a 34 megabyte 100 Megapixel PNG image (10000 x 10000). Most internet browsers scale images to fit in the current window so be sure to zoom in after the image loads to see the detail.	Caution: Clicking the picture below will load a 10 megabyte 100 Megapixel PNG image (10000 x 10000). Most internet browsers scale images to fit in the current window so be sure to zoom in after the image loads to see the detail.