; Date: Tue, 24 Mar 2009 23:05:16 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 25-03-09 (Spring Has Sprung [6]) ; ; Id: <1.5.4.16.20090324220533.2b57a178@pop.mindspring.com> ; --------- ; ; FOTD -- March 25, 2009 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; A couple days ago Ted wrote that there are times when my rating ; system makes it really hard to believe that the system exists as ; something coherent and predictable, hopefully unaffected by the ; weather, my mood, or the stock market fluctuations. ; ; There is a good reason why this is so. My rating system is ; totally arbitrary, not at all coherent and predictable, with no ; scientific validity at all, and very much affected by my mood at ; the moment I decide on the rating. ; ; The original letter continues: A coherent rating system would ; mean a system which takes into account a set of different ; aspects of the rated object, evaluates some of the most signifi- ; cant, and by combining these values, offers a usable way of ; placing the rating of the object somewhere between 'Isn't it ; wonderful!' and 'What a waste!'. ; ; If I rated the images like this, it would be too close to doing ; statistical science to be much fun. I try to avoid doing things ; in a scientific manner as much as possible. It makes life far ; too scientific and far too little fun. ; ; For example, look at the trouble I have had since 2001 trying to ; convince hard-core skeptics that a form of precognition does in ; fact exist. Their devotion to a rational skeptical view forms a ; mental block that is almost impossible for them to overcome. ; (If they even wanted to overcome it.) ; ; By contrast, by avoiding the rational approach, I can indulge in ; far more interesting and outlandish ideas such as the possibil- ; ity that the universe is a fractal being constantly recalculated ; on God's cosmic computer. ; ; There is more to the original letter, and I'll have more to say ; about it in future FOTD's. ; ; Today's image came about when I calculated the Mandeloid formula ; Z^(2.01)+C at PI levels up the logarithmic ladder. At this ; transcendental level the parent fractal is a Mandelbrot set that ; has split apart on the west side and rotated a few degrees ; clockwise. Today's image is located in an area of chaos between ; the two split-apart parts of the main bud of the parent. ; ; I named the image "Spring Has Sprung". Its quality is about ; average, thus the rating of a 6. The name came to mind when I ; noticed the first yellow daffodil of the season in bloom this ; afternoon. ; ; The calculation time of 55 seconds makes calculating the image a ; pleasure. Equally joyful is the trip to view the completed ; image on the FOTD web site at: ; ; ; ; Tuesday dawned clear and cold, with a very un-springlike tempera- ; ture of 19F -7C, but by afternoon the strong sun had warmed it ; to 48F +9C and the light winds made the day quite pleasant. The ; fractal cats agreed as they competed for the best spot on the ; shelf by the sunny window. ; ; My day was rather busy. Tomorrow is likely to be even busier. ; The next FOTD will be posted in 24 hours. Until then, take ; care, and when will the common man see the benefits of the space ; program. Or perhaps the question should be, "where are the much ; hyped benefits of the space program?" ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Spring_Has_Sprung { ; time=0:00:55.64-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=-1.242701290941315/+0.0883396256393417/\ 1.217e+007/1/-85/0 params=2.01/0/3.14159265358979/0 maxiter=1500 inside=0 logmap=88 periodicity=10 colors=000Bsq5xx3oi1fW0YI8_MGaQOcUWeXcg`kidskhzmkr\ p_jsOcqC_mFWhHTbJPXLLRNILPEFRB9TDDXEG`FKdGNhHQkFRj\ DRiCRiENeGKaIHZKEVMBSG_XBw`CncDfeEYhEQjFHmG9oG1qL1\ kP1eT1`X1V`1Pd1Kh1El19Z4HL6P88WJ9bTAicBpmCwbQqSckI\ qfKmhLijMelIceFa_C`UldOUmaBuo8jk6_g4Qc2F_05W9C`HJd\ QQiYXmebqf_pgYphVphToiQojOojMoXG`KBM76884B83D92G91\ IC8JFEJIKKLQKOXLRbLUhMXnMSdKNVIILGDBE81DE9KJHQPOXU\ WbZbhQZyP`xPawPcwPdvOeuOguOhtOitLfoIdjFbeC`a9YX6WS\ 3UN0SJ1QO1OS1MX1K`1Ie1GiCLZMQOWUDTOIRINwo`lpWapSRq\ NGqJ5qF6oG6nH7mI7lI7kJ8jK8iL8hLB`ODTQFLTHDVJ6XX7Qi\ 8Jv8CmEDeJDXODPTDGYD8bDEcCJcCPdCUdCZeCdeCifCnfCphM\ qjVslctnlupunmrhjpbhnXelRcjL`hFZfHZZJZSLZLMZET`BZb\ 8dd5je3NchOgcPkZUvZXu__t`btadsbgrcjrdmqeopfrpguohx\ niznjvoisphophlqghrferfaseZtdUfTWdUYbW_`YaZ_cX`eVb\ gTdiRekOMlL3gR9cWE_`KWePSjVOo_Upd_pheqlkqqqruvryip\ vYnsLlp9kmBilDgkVbWPgcImj } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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|