FOTD -- October 19, 2002 (Rating 4) Fractal visionaries and enthusiasts: Mandelbrot midgets are sometimes called atoms. Today's image shows one of these atoms, this one in the fractal that results when a negative portion of Z^1.5 is mixed with half as much negative Z^3, and 1/C is added. But this is not all bad, for though the portions are negative, the result is positive. The atom (midget) at the center is the center of attention. It lies in a spiral in a broad blunt valley of the parent fractal, which is a monstrously bloated, oversized thing that cannot be described, and must be seen to be believed. No wonder I named the image "Atomic Atom". When considering what rating I should give the image, I was struck by the fact that, despite the generating formula and grotesque shape of the parent fractal, today's scene could easily lie in the classic Mandelbrot set. It contains little that cannot be found in the well-known East Valley area of the M-set. I could therefore rate it no higher than a 4, which is only a little below average. And now I must make a confession. I actually had found a far better fractal for today's FOTD, but in my haste I shut down the program without saving the image or parameters, and the image went back to that vast reservoir where undiscovered fractals exist. Oh well, no one is perfect. The render time of 7 minutes from the parameter file is a bit slow, but still reasonable, especially considering that it's Saturday, when many are off from work. And as always, the completed GIF image will promptly be available on Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Friday here at Fractal Central was a splendid example of Autumn in this part of the world -- deep blue skies filled with fluffy white clouds, invigorating north winds, and a temperature of 59F 15C. The dynamic duo of fractal cats voiced their approval by getting into a noisy quarrel on the porch in the afternoon. Only they know what they started fighting about, but common sense prevailed, and the affair ended before blows were struck. Today is starting cloudy however. I'd better give the grass one final trimming before rain starts to fall. Until tomorrow, take care, and continue taking care. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Atomic_Atom { ; time=0:07:09.46--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.48448032436812880/+0.442663060375871\ 70/5.796793e+009/1/170/-5.33961781627040333e-006 params=-1.4/1.5/-0.7/3/0/0 float=y maxiter=1000 inside=0 logmap=119 periodicity=10 colors=000e0bf0`g0Yh0Wi0Tj1Qk2Ol3Ml4Jj5Oh6Tf7Xd8aa\ 9e_AjYBnWCsUDw0Ix3Ku6Lr9MoCOlFPiIQfLScOT`RUYUWVXXS\ _XPbVN_UHXTBUS5SR0RS4QW8P_BPcFOgINkMNoQMsTLwXLz_Nt\ aOncPheQbgSYiTSkUMmVGoWBq_HncMkgShkXfoacsg`wlYzqWr\ oVknUdlTYkSQjRJhQCgP5fP7hT9jWBlZDmaFoeHqhJskLtnOhm\ RYmUNmXCmSAmN8mI6mE5mDDlCKkBSjBZjATW9NI9I4CJ6EK8HL\ 9JMBLNDOOEQOGSPIVQJXRLZSNaTOcUQeUR`SVWQZRObMMfHKjC\ In8GqQ9Tg24e58d8BcBFbEIaHM`KP_NTZQWYT_XWbWZfVaiXI6\ _G7bF8eD9hCAkAAn9Bq7Ct6Dw4Ez3EdMVJdkKcjLbiMaiLcgbY\ HbZDbZ9cXAdVBeUBfSCfQDgPDhNEiLFjKFjIGkGHlFHmDInBJn\ AJjBIfCHbDGZEFVFERGDOHCKIBGJACK98L84M71M63Q54T56X4\ 7_49c3Af3Cj2Dm2Fq1Gt1Hw1Gw2Fw3Fw3Ew4Ew4Dw5Cw6Cw6Bw\ 7Bw7Hm8Mc8RU9XK9aAAf1Ag2Eh3Hi4Kj5Nj5Qk6Tl7Wm8Zo9aq\ 9dsAguBjwCmyDpzDszBtzAuz9vz8wz7xz6yz7zz8zz9zzAzzBz\ zCzzDzzEzzFzzFzzFzzBzz7zz9zzBzzDzzFzzHzzJzzLzzMzzO\ zzQzzSzzUzzWzzYzz_zz`zzXz } 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==================================