; Date: Fri, 06 Jun 2008 22:31:32 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 07-06-08 (Count Fracula [6]) ; ; Id: <1.5.4.16.20080606223123.2a6728b2@pop.mindspring.com> ; --------- ; ; FOTD -- June 07, 2008 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; A lot of flashy colors and a lot of filaments do not make a ; superior fractal. This description fits today's image, which ; rates only a 6. Today's fractal lies in the Z^(sqrt(2))+C ; Mandeloid as it appears 13 levels up the logarithmic ladder ; when no function is used. ; ; The most notable feature of the parent fractal is its incredibly ; long main filament. Today's scene is located deep in the East ; Valley area of the most prominent minibrot on this long ; zigzagging filament. ; ; There is a minibrot at the center of the image, though it lies ; far beyond the range of resolution. As it is, the magnitude of ; over 2*(10^12) is right at the limit, and requires the ; mathtolerance entry to assure that the parameter file calculates ; at the correct magnitude. ; ; I named the image "Count Fracula", though I can see little in it ; to connect it with that infamous monster. ; ; The calculation time of 5-1/2 minutes is about the fractal ; average. But it is always a convenient choice to view the ; finished image on the FOTD web site at: ; ; ; ; A cloudy morning gave way to a sunny hot afternoon here at ; Fractal Central on Friday, with a temperature of 86F 30C. The ; fractal cats, feeling the heat, remained in stretched-out mode. ; ; My day was unexpectedly busy, which explains the hasty fractal. ; Tomorrow will be slower, hopefully resulting in a better FOTD ; image. That image, however good, will be posted in 24 hours. ; Until then, take care, and wait for whatever is coming. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Count_Fracula { ; time=0:05:34.44-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-2.587188090720521/-2.220584310407471/\ 2.104486e+012/1 params=1.4142/0/13/0 float=y maxiter=1500 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000LESLERLFQLFPLFOKFNKFMKFLKFKKFJXaLhwM_0Z`\ 5W`AU`ES`JP`ONaSLaXJaaGaeEajCanAbmEblHblKbkNbkQbjT\ biWciZchachdcggcfjcfmcepces`hpYjmVljSogPqdMsaKuZHp\ VFlRDgNBcJ9_GCaHFbHHcIKdIMeJPfJRgKUhKWiLZjL`kL_hKA\ 3KG4KH5JI6JK7JM8JO9IQAISBIUCIWDHYEH_FHaGHcKGfNFjRE\ mUDqXCt`BxcAzf9zj8zm7zp7zsBzuEzvHzuKzsNzqQzoTzmWzj\ ZzgazddzagzZLzXNz_OzaQzcRzfSzhUzjVzlXvoYrqZms`iuaj\ wblxdmxfoxhpxjrxlsynuypvyrxytyyvWom3fe3dd3bd3`c3_c\ 3Yb3Wb3Ua3Ta3R`3P`3N_3M_7SaAXcDbeGggJmiMrkPwlZZOgB\ 0fA5eAAdAEcAJb9Nb9Sa9X`9`_8eZ8iY8nY8rX9nWAkWBhVCdV\ DaUEZUFWTGSTHPSIMSJJPNNNQQLUTIXWG`ZEcaBge9jh7nk4qn\ 2uq0xt8xoFxkMyfTyb_yYfzUmzQnzOnzNnzLozKozIozHozGpz\ EpzDpzBzzAzz8qz7zv6pr8qm9khAmcBmZImUPmZWcdbUjiKpp9\ vwBrrCnmEjhFgcHcZI_UKWPLTKNPFOLAPI5IGDCEL6CT0B`c_b\ XPSQFHK56P97UC8ZF9cJAhMBlPBmOCnOCoNCpNCqMCrMDsLDtL\ DuKDvKDwKDtJGqJIoJLlINMET } 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|