Inner Light

This is a Newton fractal of a polynomial in the complex plane near the origin. The polynomial was chosen so as to have three-fold symmetry. At each point Newton's method is used to find a zero of the polynomial and the number of iterations required to converge to a zero determines the intensity at each pixel. The image was color-mapped and post-processed in GIMP to add vibrancy and to soften some edges that I thought were not very artistically pleasing in the background.

The idea for the titles comes from a feeling of contrast between the fiery background and the calming foreground pattern. Inner strength can defeat even the strongest adversity.

This fractal was rendered using a custom program that I wrote.

Technical note: I typically like to render images in 4x the final resolution to allow for anti-aliasing when the image is down-sampled, but due to a mix up I lost the exact equation of the polynomial and I couldn't re-render it at higher resolution. Oh well! The anti-alias filter will have to do this time!