The Mandelbrot set is a fractal, meaning that it uses relatively simple math/algorithm to produce a picture with infinite detail. Clicking on the image will center the X/Y coordinates there. Centering on a black edge and zooming in 100x times or so usually produces the most interesting results. Upping the Max Iterations will remove more black (reducing the uncertainty). It isn't a bad idea to keep it under 500. Upping the antialiasing will smooth the image but increase the rendering time dramatically. Antialiasing at more than 3 generally doesn't increase quality significantly. After adjusting settings, click the Draw button to refresh. Some browsers might complain of stalled scripts, but click wait/continue to keep the rendering going.