FOTD -- December 23, 2003 (Rating 6) Fractal visionaries and enthusiasts: This will be the last FOTD until December 29, but have no fear, it is just the seasonal rush that is putting the damper on the fractals, and there is still today's image to discuss. The image is a scene in the fractal created by combining 8.6 negative parts of Z^(-6.6) with 9.6 negative parts of Z^(-1.1) and adding (1/C). It was calculated by the MandelbrotMix2 formula, which works the same as the MandelbrotMix4 formula, with the added option of manually adjusting initial Z. The parent fractal of today's image is an oversized thing consisting of a central Mandeloid with a large arm extending north and terminating in a large ring. Today's scene is located on a filament inside this ring. The location is reflected in the concentric rings surrounding the midget. It is these rings that inspired the name "Concentric Rings". When I found the scene, I rendered it first with the standard equal-iteration-band method. When this method produced a thoroughly ho-hum image, I tried the other outside options. I also tried evaporating the image and rendering it with the various inside fills. The best option I could find was to render the scene un-evaporated, with the outside=tdis, which is the 6-rated version that appears as today's FOTD. The render time of 9 minutes can be cut to a minute or two by downloading the finished image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A milder temperature of 54F 12C and as much sun as could be mustered on the shortest day of the year gave the fractal cats a good afternoon in the yard. Their greatest excitement came when a starling lighted on a nearby twig, causing Tippy to chatter in anticipation and Thomas to twitch his tail furiously. Luckily for the bird, the cats' bird catching days are pretty much behind them. Today looks to be a repeat. For me, it's work before fun, and the time to start working is now. Until next FOTD, which will be posted on December 29th, Take care, and see you in 6 days. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Concentric_Circles { ; time=0:09:34.85--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-1.65813346453185800/+30.92368628273601\ 000/1.849903e+009/1/-5/0.0091790130718738816 params=-8.6/-6.6/-9.6/-1.1/0/0/0/0 float=y maxiter=1400 inside=0 outside=tdis periodicity=10 colors=000jszgiRfiSeiSeiTdiTdiUciUbiVbiVaiWaiW`iW_\ iX_iXZiYYiYYiZXiZXi_Wi_Vi`Vi`Ui`UiaTiaSibSibRicRic\ QidPidPieOieNjfOiePiePhdQhdRgdRgcSfcTfbTebUebUdaVd\ aWd`Wc`Xc`Yb_Yb_ZaZ_aZ_`Z``Y`_Ya_XbZXbZXcZWdYWdYVe\ XVfXVfWUgWUgVThVTiUTiUSjTSkTRkTRlSRmSQmRQnRPnQPoQP\ pPOpPOqONrONrNNsNMtNMtMLuMLuLLvLKuKKsKJrJJqJJrIItI\ IuIItHHsGHrFGrEGqDFoCFnBElAEjADh9Dg8Ce7Cc6Bb5B`4AZ\ 3AX19Y3AZ5AZ6A_8A`9A`BAaDAbEAbGAcHAdJAdLAeMAfOAfPA\ gRAhTBhUBiWBjXBjZBk`BlaBlcBmdBnfBnhBoiBpkBplBqnBrp\ CqoBpnBomBnmBnlBmkBlkBkjBjiBjiBihBhgAggAffAfeAeeAd\ dAccAbcAbbAaaA`aA_`AZ_9Z_9YZ9XY9WY9VX9VW9UV9TV9SU9\ RT9RT9QS8PR8OR8NQ8NP8MP8LO8KN8JN8JM8IL8HL8GK7FJ7FJ\ 7EI7DH7CH7BG7BF7AF79E78D78D77E87E97EA7EB7EC7ED7EE7\ EF7EF7EG7EH7EI7EJ7EK7EL7EM7EM7EN7EO6FP6FQ6FR6FS6FT\ 6FT6FU6FV6FW6FX6FY6FZ6F_6F`6F`6Fa6Fb6Fc6Fd5Ge5Gf5G\ g5Gg5Gh5Gi5Gj5Gk5Gl5Gm5Gn } frm:MandelbrotMix2 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================