Most of this work was done on Processing.
This is an Ulam Spiral, created with Java. Each pixel represents one number of a spiralling number line, white pixels are prime numbers and black pixels are not.
This distorted moon was generated using a pixel sorting algorithm. The algorithm selects a random line of pixels on the image with a random length (within a range), sorts the pixels from brightest to darkest, then replaces the line of pixels with the sorted line.
This is the beginning of the ever expanding Recamán’s sequence. The sequence is somewhat difficult to explain shortly but basically involves jumping back and forth on a number line; these jumps are visualized as the “arcs” in the image.