Whomever may be affected: In last post I mentioned Russ Walsmith was making an error in his PAR file posts. Wrong! The error is mine! Russ - there is nothing wrong. Don't change anything! I confused a couple things myself and typed before I thought about it. Sorry ... <sg> As for Golden Ratio - anyone who has downloaded / used any of my programs (like the Fractint Animators) might notice that they open up in a window with the Golden Ratio. Actually, noone has noticed it yet. It is the ratio of adjacent Fibonacci numbers as the sequence is taken to infinity. Or, as the Ancients knew, it simply looks cool. The rectangle is not "too fat" or "too long" etc., it looks "Just Right". The Nautibrot4 animation is posted on my web site now (shortened version); the full viddie is over 400 MEG! The Cornucopia animation is almost done - it is way cool, the best of them yet. JoTz