Drawing the Buddhabrot (6/26/2009 7:41 pm)
Filed under: Computers, Personal
The Mandelbrot and related fractals share a feature: To calculate the color of any point in the fractal you need only calculate that single point. The Buddhabrot, however, inverts that principle. You can read more about how it's calculated here if you care to, but put shortly, for each point in the Buddhabrot you calculate, you will change the color for many other points in the fractal. This makes it hard to do the zoom-in animations for a Buddhabrot, though drawing the fractal itself is an interesting animation.
The video for this post is just that, drawing the Buddhabrot, showing the entire set as it's being drawn, and how drawing a small region of the fractal affects the rest of the fractal. One technical note: This is a mildly zoomed in view of the Buddhabrot, meaning to calculate what you see I have to calculate points outside of the view. That's why the white box representing the currently calculating area goes out of frame between each column.