; Date: Sat, 11 Nov 2006 22:21:54 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-11-06 (Beyond the Limits [No Rating]) ; Id: <1.5.4.16.20061111222334.0d67a804@pop.mindspring.com> ; --------- ; ; FOTD -- November 12, 2006 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "Beyond the Limits". I gave it this name ; because with its magnitude of almost 4*10^13 it goes beyond the ; usual limits of conventional double-precision math. ; ; The parent fractal came about when I mixed Z^2.2 with Z^4.8 and ; added C. There is a midget at the center of the image, but it ; lies far beyond the limit of resolution. We can only imagine ; what it must look like. ; ; The mathtolerance entry in the parameter file was necessary to ; assure that the file calculates at the correct magnitude. The ; flat background came about when I raised the logmap to a value ; far greater than necessary. ; ; As for rating the image, I didn't bother. I doubt that I'll ; resume the FOTD image ratings until I'm back on my feet and ; feeling my old self again, which I suspect will be 2 or 3 weeks ; yet. ; ; With its render time of 25 minutes, running the included parame- ; ter file is not the most efficient way of viewing the image. ; The most efficient way is to visit the FOTD web site at: ; ; ; ; and view the finished image posted there. ; ; Another near perfect day here at Fractal Central on Saturday ; (lots of sun and a temperature of 70F 21C) went un-noticed by ; the fractal cats, who continued to amuse themselves exploring ; the new row of bookshelves in the hallway. They had so much fun ; chasing each other over the shelves and behind the books that ; they had to be called twice for their evening treats. ; ; My day was frustrating. On most days I have a positive attitude ; about my incapacitation, but today I wanted to do so much and ; was able to do so little that the frustration got the better of ; me and I slipped into a funk. But the fractals were still there ; when I needed a diversion. They are going nowhere. ; ; The next FOTD will appear in 24 hours or so. Until then, take ; care, and there will be light for those who seek. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Beyond_the_Limits { ; time=0:25:06.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=t center-mag=+0.43622676158194220/+0.605949061492471\ 00/3.800472e+013/0.9998/-7.63657221548883847/0.181\ 713337643773454 params=1/2.2/1/4.8/0/0 float=y maxiter=5000 inside=0 logmap=1072 periodicity=10 mathtolerance=0.05/1 colors=000RPUcM8bHB`BE_6HZ1JEYLFWPGUSHSVIQYJOaKMdL\ KgMIjNGmKIoHKqMMrQOrUQsYSsbUtfWtjYunZunZunZunZunZu\ k`piakgcfedaceXagS_hNYjIWkDUl9YjHahPefXiddmblqatmK\ `j2Hi6RiA`iEjhFifGheHgdIfbJeaKd`LdZKcXKcVKbUKbSKaQ\ JaPJ`NJ`LJ`KJ_II_GIZFIZDIYBIYAIY8HU7GR6FN5EK3DH2CD\ 1BA0B7DC6QD5aD4nE3zE3pH8gKDYMIPPNFSS6UXHQSSMObIKcJ\ OdKSdLWeMZeNbfOfgPigQmhRqhRtiQujQukPvlPvmPvnOwoOwp\ OwqNxrNxsMytMyuMyvLzwLzxLzwNvvOsuPpuRmtSjsTfrVcrW`\ qXYpZVo_Ro`OnbLmcIldFleCmdFmcHmcJmbLmaOmaQn`Sn`Un_\ XnZZnZ`nYbnYdoXepVfqThrSisQjtOkuNlvWzwJtxIpyGqzErz\ DsqNkiWce`XadQZiJVmCSq5PiBNZGLVMJORHHWMKZQM`UPbYRe\ aUgmZtUUcdVjcVjrlcpkenjhlijjhmffreftggshhriirkiqlj\ qmkpnkpploqmnrnntnmuomvplwplqkilgfgbcbZ`YVYYU_ZUbZ\ TdZSf_Si_RkC7NOH`ZI5_LHUUUkTXkRUhUQfXMd_IbbF`eBZh7\ Xk4PgCHcJ9_Q2WXSMWpDWlCUiCSfBQcBP`ANYALVAKW9IW8HW7\ GW7FW6DW5CW5BW4AW38W37000 } 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 PARAMETER FILE========================================= ; ;