This is my first completed animation of a fractal based on the secant method. As far as I am aware, this is actually the first fractal animation ever created based on the secant method. (This one is called "2" because I started a different one first but it's not done yet.)

The initial starting value for the root-finding process is varied as the animation progresses; the coloring is based on the number of iterations needed to converge to a root of (x²-1)(x²-4)=0.

Video files in both MP4 and WMV formats with various levels of video compression are available at:

http://www.hpdz.net/Anim_SecantAnim2.htm

It is also on YouTube:

<a href="http://www.youtube.com/v/mbNEE71sGsw&rel=1" target="_blank">http://www.youtube.com/v/mbNEE71sGsw&rel=1</a>