The idea: Start with a rectangle, and divide it in two - draw a line to mark the boundary. Now animate it: oscillate that line, and the proportions, back and forth. Now, recurse down into the two child rectangles, oscillating faster for more-nested rectangles.

Controls: move the mouse up & down to damp the oscillation. Press a key to change the render: instead of drawing lines, draw a dot at the center of where the lines would be.