FOTD -- December 19, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: With today's image we return to the good old MandelbrotMix4 series of formulas, still the most often used of all the FOTD series of formulas (formulae). The parent fractal is a Mandelbrot set rotated 180 degrees, with a huge extra bay beyond its East Valley, which in this case is on the west side of the main bay. This new bay is enclosed by East Valley, which now appears in two branches, exactly like Seahorse Valley. Today's scene is located on the shore line of this East Valley that faces the new bay. I named the image "Olive Oil", not after Popeye's girl friend, but after the olive green colors of the bubbles. I could rate the image only at a 6.5, and this includes a 1/2 point reward for my coloring effort. The bubbly effect was achieved by rendering the image with the inside set to 'bof60'. The olive bubbles are actually open holes. The calculation time of a speedy 1-1/2 minutes may be avoided entirely by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying to the maximum the finished image posted there. Partly cloudy skies and a temperature of 37F 3C made Thursday a rather pleasant start-of-winter day here at Fractal Central. The fractal cats continued to keep their eyes on the local squirrels, who were still unusually active. My day was average. The next FOTD will be posted in 24 hours. Until then, take care, and it's obvious that nothing could exist but the natural world. Therefore all the so-called supernatural things skeptics dislike must be parts of the natural world that have yet to be accepted by conventional science. Skeptics and believers appear to be disagreeing on little more than where the natural world ends. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Olive_Oil { ; time=0:01:31.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.276483351592095/+0.1559172895409065/\ 1.143798e+008/1/76.5/0 params=-0.5/3.5/1/2/0/0/0/0 float=y maxiter=1500 inside=bof60 periodicity=10 colors=000zzzyyzxxzwwvuvrsumqthoscmrZkpUinQgmNekLc\ hKaeI_bHY_GXXEWUDVTETSCRPBPMAMJ8KG7HD6FA5DK4QU4Wc4\ `m4WhBRdIM_PHWW5mMCSbD0uJ6rPBoUGmgFYtEIkORbXZUefLn\ nRllXjkbhihfhndfsce000tbduacvabv`bw`aw`asbaocakeag\ facga_iaWjaSka46`57a58a69a69a7Aa7Ba7Ca8Ca8Da9Ea9Ea\ 9FaAGaAHaBHaBFaCGaCHaCIaDJaDKaELaEMaENaFOaFPaGQaGR\ aGRaHSaHTaIUaIUaJVaJWaJXaKXaKYaLZaLZbL_cM`dMaeNafN\ bgOchOdiOdjPekPflQgnQipQkrRmtRnvSpxSrz0UG4WI5YJ6_K\ 7aK8cL8eM9fMAgNBhOChOChPFhQKiQPiRUiSZiScoChlFmiJrf\ MvcPzYOzTOzOOzINzDNz8NzFQzLSzRzzXzwbzxhzmlzjgzgczd\ ZzbVz_QzXMzUHzYCzSDzMDzGDzCAzADzB2z9Fz7Rz5bz8_zBYz\ EWzHTzKRzNPzTJzPNzMRzIVzFZzBbz3jz8fzDbzI_zMWzRSzWP\ z`LzhBzdIziGz`OzSVzKazJ_zIZzIYzHXzGWzGVzKYzO`zYWzg\ SzuRzqOzmMzjKzfHzbFzO5z_DzjLzuSzkTzbUzTVzKWzAXz1Yz\ 5_z9`zDbzHczGXzFRzEKzDEzC7zB1zG8zLEzQKzUQzZWzcazhg\ zlmzn_zoMzw0zp9ziIzbRzW_z } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================