FOTD -- October 11, 2002 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD image is named "Complexity" not because it was created with complex numbers, but rather because it is a very complex image. Much of the complexity has been achieved by rendering the scene with the outside set to <atan> and the inside set to <bof61>. These settings are a departure from my usual equal-iteration bands on the outside and a blank black on the inside. The parent fractal takes 0.0145 part of Z^(11) and adds 1.6095 parts of (1/Z) to it before adding (1/C). The resulting fractal appears as a somewhat distorted M-set rotated 180 degrees. Today's scene is located in some unlikely chaos on a filament of a bud in the East Valley area of the parent, which in today's case is located on the west side of the main bay. In addition to the unusual inside and outside fills in today's image, the bailout also plays a part in the final appearance. I have set the bailout radius to 2.076, which is just above the point where the scene goes totally blank. Unlike fractals with negative exponents of Z, fractals with positive exponents do not evaporate when the bailout is increased. They do change however as the bailout is reduced to near the cutoff point, though to a lesser degree. To see the unchanged version, reset the imag(p3) parameter to zero and recalculate the image. I was about to toss aside today's image with a rating of an average 5, but then I stepped back from the screen and noticed that, from a distance, the image looks surprisingly good. I finally settled on a rating of 6. The render time of 8 minutes from the parameter file is a bit slow. The better way to see the image is to download it in completed form from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Thursday here at the Fractal Central was simply terrible. It rained steadily from dawn until midnight, with a temperature around 61F 16C. This kept the cats confined to the indoors and resulted in them being quite unhappy through most of the day. In the evening, I gave them a treat of turkey, which lightened their moods -- at least a bit. For a change, I have very little to do today, except search for fractals. Since it's still raining, that's probably what I'll do. Until tomorrow, take care, and keep your spirits up -- if you can find them that is. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Complexity { ; time=0:08:23.83--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-4.08329576353486200/-0.003627969335169\ 24/8.843233e+008/1/12.5/-2.37093926224313245e-005 params=1/11/111/-1/-0.985/-97.924 float=y maxiter=1200 inside=bof61 outside=atan periodicity=9 colors=0007AA8AB9ABAABBABCACDACEACFACGACHADIADJADK\ ADLAEMAENAEOAEPAFQAFRAFSAFRBESCFSDFSEFSFFTGGTHGTIG\ TJGUKHULHUMHUNHVOIVPIVPIVQIWRJWRJWRJWRJXSKXSKXSKXS\ KYTLYTLYTLYTLZUMZUMZUMZUM_VN_VN_VNZUM_VN_VN`VO`VOa\ VOaVPbVPbVPcVQcVQdVQdVReVReVRfVSfVSpVSgVThVThVTiVU\ iWUjXUjYVjZVi_Vh`VgaVgaWhbXhcYicYidZid_je_jf`jfakg\ akgbkhcliclidmjdmjzmkfnlfnlgnmhomhonioojpojppkuuzp\ pklkshgZdbT`YMXUGTP9NK0OL2PL3QL4RL5SL6TL7UL8ULAVLB\ WLCXMDYMEZMF_MG_MH`MJaMKbMLcMMdMNeNOfNPfNRgNShNTiN\ UjNVkNWlNXnKWmMXlNYkPYjQZiSZhT_gV_fW`eY`dZac`ababa\ cbadc`fc_gdZidYjeXleWmfVofUpgTrgSshRuhQviVvcSwfQwi\ OwkMxnKxqJytIxsIxsIxrIxrHxqHxqHxqHxpGxpGxoGxoGxoFx\ nFxnFxmFxmExmExlExlExkExkDxkDxjDxjDxiCxiCxiCxhCxhB\ xgBxgBxgBxfAxfAxeAxeAxe9xd9xd9xc9xc8yd9xc9xc9xb9xb\ AxbAwaAwaAw`Aw`Bw`Bw_Bv_BvZBvZCvZCvYCuYCuXDuXDuXDu\ WDuWDtVEtVEtV3B94CA5CA6DA } frm:MandelbrotMix4 {; 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, 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==================================