; Date: Fri, 08 Jul 2005 09:59:33 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 08-07-05 (Old Lace [7]) ; Id: <1.5.4.16.20050708100128.29c7b3e8@pop.mindspring.com> ; --------- ; ; FOTD -- July 08, 2005 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; The lacy effect of today's image inspired the name "Old Lace", ; though in this case no arsenic is involved. What is involved is ; a combination of negative Z and (1/Z), with C added. ; ; It is curious that this combination would produce any fractal at ; all. By itself, negative Z does not make a fractal, and (1/Z) ; makes a simple vertical row of small flat disks. (In the odd ; orientations of the Julibrot, (1/Z) produces some striking ; effects, but this is another story.) When negative Z and (1/Z) ; are combined however, some very interesting Mandelbrot things ; can happen. ; ; In today's image, I added (1/Z) to negative Z. The resulting ; parent fractal is a rough hyperbola with Mandelbrot buds along ; its edges, and a small valley at the apex. Today's scene lies ; in the vicinity of this valley. ; ; I rated the image at a 7. The coloring, which is about as ; smooth as can be achieved with only 256 colors to work with, ; adds to the impact, and raises the rating from a 6 to the 7. ; The render time of 26 minutes is admittedly slow. But relief ; may be found on the FOTD web site at: ; ; ; ; where the completed image is posted, ready for download. ; ; The clouds remained thick all day Thursday here at Fractal ; Central, while the temperature reached a high of 81F 27C. ; Luckily, the rain held off until after dark, which gave the cats ; a pleasant afternoon in the yard. They became alert when two ; unwanted neighborhood stray cats wandered by, but the other cats ; moved on without coming within confrontation range. Today is ; starting with heavy rain however. Unless it ends in a hurry, ; the cats' day will be spoiled. My day will consist of the usual ; work and fractals, the next of which will appear in 24 hours. ; Until then, take care, and where do fractals come from? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Old_Lace { ; time=0:26:18.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00697239427666942/+2.648103091012842\ 00/7219667/1/2.5/-2.90142841345708558e-006 params=-1/1/1/-1/0/525 float=y maxiter=2200 inside=0 logmap=569 periodicity=10 colors=00001P01N07M08L08R09P09S0AQ0AT0BR0BU0CS0CV0\ DT9DWAEUAEXBFVBFYCGWCGZDHXDH_EIYEI`FJZFJaGK_GLaHLa\ GMbGNbGNcGOcGOdGPdFPeFQeFQfFRfFRgFSgFShEThETiEUiEU\ jEVjEVkEWkDWlDXlDXmDYmDYnDZnDZoC_oC_pC`pC`qCaqCarC\ brBbsBcsBctBdtBduBeuBeuDfvFfvGgvIgvJivLhvNjvOjvQkv\ RkvTmvVmvWovYowZpw`pwbrwcrweswftwhtwjuwkvwmvwnwwpx\ wryxqxwpxwoxwnxwmxwlxvkxvjwviwvhwvgwufwuewudwucvub\ vtavt`vt_vtZvtYvtXvsWusVusUusTusSurRurQurPtrOtrNtq\ MtqLtqKtqJtqItqGurFusEusDvtCvtBvuAwu9wv8wv7xw6xw5x\ x3yz4xx4xw5wu5wt6vr6vq6uo7un7ul8tk8ti8sh9sf9reArcA\ rbAq`Bq_BpYCpXCoVCoUDoSDnREnPEmOEmMFlLFlJGlIGkGGkF\ HjDHjCIiAIi9Ii8IhAJhBKhCLhDMhENhFOhGPhHQgIRgJSgKTg\ LUgMVgOWgPXgQYfRZfS_fT`fUafVbfWcfXdfYeeZfe_geahebi\ ecjedkeelefmdgndhodipdjqdkrdlsemtgnuilvkjwmhxogyqe\ zsczubzz`zxZzyYzzWzzUzzTzzRzzPzzOzzMzzKzzKzzJzzJzz\ IzzIzzHzzHzzGzzGzzFzzRzzQ } 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 PARAMETER FILE========================================= ; ;