The movie shows the images as discussed int the earlier post “Fractal surprise from complex function iteration” for a decreasing value of the constant c. The program of the last post creates the movie frames.
The movie begins with c=0.4 and ends with c=0.002. Watch how the spirals unfold:
Geometry in color 
Nice video. You are going along external ray 0 ( from 0.4 to 0.25 ) and internal ray 0 ( from 0.25 to 0.002 ). Compare with similar video ( with gray gradient ) :
[video src="http://commons.wikimedia.org/wiki/File:Quadratic_Julia_set_with_Internal_binary_decomposition_for_internal_ray_0.ogv" /]
and along internal ray 1/3 :
[video src="http://commons.wikimedia.org/wiki/File:Quadratic_Julia_set_with_Internal_binary_decomposition_for_internal_ray_1_over_3.ogv" /]
Regards