geez, get better soon!! you're welcome for the info, I like Lyapunov images and that's why I tried to find out what made them tick, so to speak. Why I couldn't zoom in like a fractal. The knowledge really isn't that impressive, just pieces and parts thrown together. (-: There's just not a lot written about the images, what they are or how and why they act as they do. At least from what I found and what I wanted to know about them.