FOTD -- October 01, 2005 (Rating 6) Fractal visionaries and enthusiasts: We have come to the end of the series of scenes in the fractals created by the square root of two. The series was neither a great success nor a great failure, but it did contain a few interesting images. It is now a new month and time to start a new theme. For the month of October I have decided to unpack some of the formulas I wrote a while back but then stored away and forgot about. For today's FOTD I unpacked a formula I wrote around 10 years ago and named 'ManZpwrAbs'. I have no idea why I wrote it or what it is supposed to do, though I am certain it has nothing to do with body-building. The images it draws have a kind of 'all look the same' appearance, but some of them are worth at least a second glance. At first glance, the parent fractal of today's image looked like a giant bat flying west. Then I gave it that second glance, and noticed several interesting areas. Zooming into one of these areas, I found total chaos. I switched the 'outside' to 'fmod' with a 'proximity' factor of 1.5. The resulting fractal was a twisted, stretched and skewed chaotic mess, but it held areas of promise. By untwisting, unstretching and unskewing a small area of the image, I found today's scene, an image that is just chaotic enough to be interesting. The large spiral on the right is actually two spirals, one winding clockwise, the other, counter-clockwise. This "Double Spiral" inspired the name. The rest of the scene is strangely unpredictable, with features scattered about haphazardly, almost like a trash dump in the 'real' world. Some of these smaller features might make better images than today's, but at this time I will not check. There are too many old forgotten formulas to work through. The rating of a 6 is perhaps a bit high, but I decided to do myself a favor and treat myself to a slightly above average FOTD rating. There can be no complaints about the render time, which is a speedy 1-1/2 minutes even on my 9-year-old broken- down P200 machine. But my tired old computer can at least run Fractint, which is more than some of the newer units I have checked can do. Unfor- tunately, some fractal fans have one of these new-fangled machines, and are therefore Fractint-deprived. But the cure is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-rendered image has been posted. Friday was sunny but a bit chilly here at Fractal Central. The high temperature of 68F 20C fell within the cats' comfort zone, enabling them to spend the afternoon lurking in comfort in the holly thicket. My day was rather busy, but everything was wrapped up before the day ended. Today is starting much the same. The next FOTD will appear in 24 hours. Until then, take care, and launch out into new territory. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Double_Spiral { ; time=0:01:36.56--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=ManZpwrAbs passes=1 center-mag=-0.6401689518885381/+2.760849241510850\ /1671.162/0.9379/38.0489798713000269/-10.806740679\ 1004323 params=8/0/-2/0/0.5/0 float=y maxiter=1500 inside=0 proximity=1.5 outside=fmod periodicity=10 colors=800kZzkZzm`zkZzkXzkXzkVzkVzkTzkTzkQzkQzkOzk\ OzkMzkKzkKzkIziIziGziGziEziEziCziCziAzi8zi8zi6zi6y\ i4yi4yi2wg2wg0ug0ug0sg0sg0sg0qg0qg0og0og0og0mg0mg0\ kg0kg0kZ0qT4uKEzEMz8Xz8dz8oz8yz8wz8wz8wz8wz8wz8wz8\ wz8uz8uz8uz8uz8uz8uz8uz8sz8sz8sz8sz8sz8sz8sz8qz8qz\ 8qz8qz8qz8qz8qz8oz8oz8oz8oz8oz8oz8oz8mz8mz8mz8mz8m\ z8mz8mz8kz8kz8kz8kz8kz8kz8kz8iz8iz8iz8iz8iz8iz8iz8\ gz8gz8gz8gz8gz8gz8gz8dz8dz8dz8dz8dz8dz8dz8bzAbzFbz\ KgzPkzUozZuzczzhzzmzzrzzvzzzzzvzzrzzmzzhzzcwzZqzUi\ zP`zKVzGMzGEwG8sG0oG0kI0iI0iI0iI0gI0gI0gK0gK0dK0dK\ 2dK2dK2bK4bN4bN4bN6`N6`N6`N8`P8ZP8ZP8ZPAZPAXPAXPCX\ 8AU8AU8AU8AU8AU8AU8AU8AU8AU8AU8AU8AU8ATAASABRACQAD\ PAEOAFNAGMCHLCIKCJKBKK9LK7MI5NI6OI7PI8QG9RGASGBTGC\ UEDVEEWEFXEGYCHZCI_CJ`CKaALbANcAPdARe8Tf8Vg8Xh8Zi6\ `i6bi6ei0gi4ei6bk8`kC`mEZmGXoKVoMVqOTqTRqVPsXNs`Nu\ bKudIwiGwkGymEyqCzsAzu8zy } frm:ManZpwrAbs {; Jim Muth z=c=pixel: z=(p1*(z^|z|))+(p2*z^p3)+c, |z| <= 100 } END PARAMETER FILE=========================================