; Date: Mon, 05 May 2003 09:39:54 -0400 ; From: "Jim M." ; Subject: [Fractint] FOTD 05-05-03 (Starry Mandelbrot [8]) ; Id: <1.5.4.16.20030505093904.0d572d66@pop.mindspring.com> ; --------- ; ; FOTD -- May 05, 2003 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Yesterday's FOTD image took us to the place where the right edge ; of the large fan-like element of the parent fractal merges into ; the 'East Valley' area of an obvious Mandel-like feature. ; Today's image takes us to the place where the left edge of the ; symmetrical fan-like element merges into a less-Mandel appearing ; feature. ; ; The 'fan' itself is filled with tiny holes, which are ; disconnected from the main body of the parent fractal but are ; rich with fractal detail nonetheless. Since the area in which ; today's scene lies is disconnected, the midget at the center is ; disconnected also. This isolation gives the midget, with its ; surroundings, the appearance of a star in a dark sky. The ; obvious 8-pointed star-like feature completes the effect of ; stellar glory and justifies the name "Starry Mandelbrot". ; ; I am quite satisfied with the appearance of today's image, and ; feel the rating of a much-above-average 8 is fully justified. ; Unfortunately, as is so often the case, something worth having ; must be waited for, and the 1/2-hour render time of today's ; image on my machine must be considered a wait, even when reduced ; to a fraction of that amount on a faster machine. ; ; Now, I suppose it is only fair to admit that I am no expert, at ; least in the field of math and fractals. (Despite the ; occasional dissension of critics, I am an expert in philosophy ; however, ;-) but my modesty prevents me from discussing it ; here.) In these fractal discussions, I often make statements ; that I think are true, but the fact that I think these things ; are true does not necessarily make them actually true. So the ; things I write in these discussions (other than my well-pondered ; philosophy) should be taken as entertainment rather than proven ; fact. ; ; Those with much patience can see today's image in 1/2 hour by ; running the attached parameter file. Those with better ways to ; fill their time will pick up the completed GIF image from: ; ; ; ; or from: ; ; ; ; Well, I survived Sunday's trip to the antique emporium. In ; fact, I actually found a picture that I liked at a price I liked ; even better. The dynamic duo meanwhile remained on guard, pro- ; tecting Fractal Central from intruders. If any wrongdoer had ; dared to break in, the draft behind the dynamic duo as they ; dashed for cover would have knocked the intruder flat. The ; weather was cloudy and 64F 18C, but the rain held off again. ; This was irrelevant however, since the dynamic ones were alone ; by themselves indoors most of the day. ; ; Today is starting cloudy again, and the forecast is for rain by ; afternoon. I hope the duo stays happy. Until next time, which ; will be here in the wink of a fractal, take care, and be kind to ; your fractal -- it could be somebody's mother. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Starry_Mandelbrot { ; time=0:29:37.98--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=mandelbrotmix2 function=recip passes=1 center-mag=+1.25085078864374300/+3.023813723474635\ 00/4.386769e+009/1/-82.5/0.00713534581712483434 params=-10/-1.1/-1/-11/0/525/0/0 float=y maxiter=2700 inside=0 logmap=479 periodicity=10 colors=000307407406405404403503502501cn_cnZdoYdoXd\ pXepWeqVfqUfrTfrTgGacAc`5eb7Wc9MdBCeD3`F4WH4RJ4ML4\ HN5CP57R53T5LSGbSQsS_oSbkSdgSfcSh_SjWSlSSnUVjWXfY_\ b_aZadVcfReiNgkJinFkpBlr8ms7ns7os7ps7qs7rt6st6st6t\ t6ut6vu5wu5xu5yu5zu5zu5wo8ujAreCp_EmVGkQIw26r78nC9\ jGBfLCbQEZUFVZHRbITcLVcOXcRZcU`cXbc_ccaef`gh_ikZjm\ YlpXnrWotWnoUnjTneSm`QmWPmSOnRRpQUqPXgpfikbjgZkcWm\ _SnWOoRLpNHrJDsFAtB6u73pA8kDDfGIaINXLSTOXORaJTfEWk\ 9Zp4au0czH`zYYznVzoXrpYkqZdr_Ys`RtaKubDvc6oa8o`9kZ\ BhYCfXEaVFYUHVSIRRKOQLKONHNOEMPFOMGRJITGKVDNXAQZ7T\ a8Wd9ZfAaiBdkCgmDjoEmqEmsDmvDmwCmxCmyBmzBPnAQoAQpA\ Qp9Qq9Rr9Rs8Rt8Rt8_fEhTJqFOz1Tr2Uk3Ud4UX5UQ6UJ7UC8\ UKAVSCVZEVfGWnIWuJWmN1kP4iR6gT8eUAcWCaYE_ZGZ`IXbLV\ cNTePRgRPhTNjVLlXKmZJiWIeUHaSHaQGcOFeMFgKEiIDkGDmE\ EoEEqEEsEEuEEvEEwEFxEFyEFzEFzEFzEFzEDzICzLBzOAzR8z\ U7zX6z_5zb3zehzOfzTdzXbz` } 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 PARAMETER FILE================================== ;