FOTD -- September 24, 2005 (Rating 7) Fractal visionaries and enthusiasts: Things are still a little busier than I would like here at Fractal Central today, so there will be no time for a long rambling discussion. The parent fractal of today's image, which is based on the square root of 2, is sliced 1234 levels down the complex log spiral. At this lowly level, the parent fractal is little more than a lopsided circle with hints of tiny buds, but as today's FOTD shows, it holds no shortage of midgets. The rather striking scene is located in some explosive chaos on the western shore of the main and only bay of its parent. I am losing track of the number of consecutive 7-rated images we have had. I think today's is number 8 in a row. The name "Square Root of 2-2" indicates that the image is the second in the series of images investigating fractals generated with the expression Z^(sqrt(2))+C. The series will continue until I grow bored. The render time of 4+ minutes is within reason, but those who are having an unreasonably impatient day may download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In a recent letter to the list, someone wondered where I get the color maps I use in the FOTD fractals. The answer is, anywhere I can find them. Sometimes the program produces a satisfactory color map with a strike of the 'enter' key, and all I need to do is tweak a few troublesome registers. At the other extreme, I occasionally create the entire map one register at a time, which is a slow process. Occasionally I run the FOTD images through an image-processing program such as Photoshop, though I never make changes that cannot be entered into a Fractint parameter file. And finally, though my humility prevents me from admit- ting it, my profession does require at least a bit of artistic sensitivity. Some of it unavoidably rubs off on the FOTD fractals. With a high temperature of 93F 34C and increased humidity here at Fractal Central on Friday, it was a bit too oppressive for cat comfort. But the showers never arrived, and the duo made the best of the marginal conditions, lurking for several hours in the holly thicket. To ease their displeasure, I gave them a bit of extra tuna in the evening. Today is starting with clouds and cooler temperatures. I see no reason why the duo should complain. The next FOTD will appear, as it almost always does, in 24 hours. Until then, take care, and be peaceful. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Square_Root_of_2-2 { ; time=0:04:17.49--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.40565767597375290/+0.069646715730597\ 94/5129615/1/62.5/-6.2025166898405093e-008 params=1.414213562373/0/-1234/0 float=y maxiter=3200 inside=0 periodicity=10 colors=000xFvwFuvFuuEtsEtrEsqDspDroDrkEphFneGmbHkZ\ IiWJhTKfQLdNMcJNaGO_DPZAQX7RW9TUBVTDXSFZRG_PIaOKcN\ MeMOgLPhJRjITlHVnGWoFUnGSnGQmGOmHMlHLlHJkIHkIFjIDj\ JCiJAiJ8hK6hK4gK3gK6dJ8bIA`HCZGFWFHUEJSELQDNOCQLBS\ JAUH9WF8YD8`GCbJFeLIgOMjQPlTSoVWqYZs_a2mn4ff5_Z6TS\ 7UR8VQ9VP9WOAWNBXNCXMCYLDZKEZJF_JF_IG`HH`GIaFIaFGU\ MENTCG_A9f92l81g71b61Y51T41O30J20E109113004r43d32R\ 21D105ID4GC4FB3DA3C93B8297286165154143022nAXlAXjAU\ e9R`8NV7KQ6HL4DF3AA2651307006005005004004003002002\ 00100100005av4Yp4Uj3Qd3MZ2JT2FN1BH17B035jXwm0wuzep\ ubkq_glXbhUZcRU_ORVLNRIJMFFICBD9796343RcKO_IMWGKSF\ IPDGLCEIACG9AD78A6684453221LTsJRoIPkGNgFLdEJ`CHXBF\ T9DQ8BM79I57E45B2371135mq4im4ei3be3Za3WY2SU2PR2LN1\ HJ1EF1AB077033N9yI7lD5`93O41CERfCObBMZAKW9IS8FP7DL\ 5BH49E36A247123ImGEcCAU97K63A3c3M_2JW2HS2FO1DK1BG1\ 8C068044020jq0NRr0ol0ig0d } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================
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Jim Muth