FOTD -- September 24, 2002 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "The Emerald City". The name has nothing to do with the name of the city in the land of Oz, where the wizard dwells. The image contains nothing even vaguely resembling buildings. The name simply reflects a feeling that the image produced while I was studying it, searching for a name. At first glance, the image appears to have been rendered with some exotic coloring algorithm, but it was actually rendered with the default equal-iteration-bands method. As in nearly all my FOTD fractals, the fancy coloring is created by the nature of the iterated formula, which in today's case adds portions of Z^(-1.1) and Z^(1.1) to (1/C). The resulting parent fractal does not quite fit onto the default screen, but an outzoom reveals a fractal rocket flying east. Today's image lies in the chaos at the north edge of the rocket's fins, in an area that is highly sensitive to changes in the bailout radius, which is determined by adding 100 to the imag(p3) parameter. I have rated the image at a 7. I can do this honestly, since the overall effect is above the average. The render time of 7 minutes can be bypassed by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The Monday weather here at Fractal Central took on a more autumnal mood, with partly cloudy skies, brisk northerly breezes, and a temperature of 75F 24C. The fractal duo, Thomas and Tippy, must have agreed, for they passed the entire afternoon exploring the yard, every inch of which has been explored many times before. The only problem arose when Thomas came hopping to the door with a thorn in his right forefoot. A single pull of the tweezers removed the thorn and relieved his not-very-serious distress. My distress will be relieved when the day's work is finished and my desk is clear. That moment however is several hours away, and some intense effort will be required to achieve the goal. Until next time, which will arrive on Thursday the 26th, take care, and is it rational to believe in extra-sensory fractals? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ The_Emerald_City { ; time=0:00:00.00--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.813599976005038/+1.08444716716314/16\ 37126/1/-97.5/-2.42503677833072473e-008 params=0.7\ /-1.1/0.77/1.1/0/40 float=y maxiter=750 inside=0 logmap=63 symmetry=none periodicity=10 colors=000YNCzPAzP8zTAzVCvXCsZEo`GkbGedHbeJZgJVkLR\ mNNoNHqPEsRAuR6vT2xV0zV0vZ0sb0od2mg2ii2em2dq4`s4Xv\ 4Vx4Rz6Nz6Lz6Hz6Ez8Cz88z84z82z20z00z00z00z00z00z66\ zGGsRPi`Z`igRsqHooGmmGikGgiGegEbgE`eEZdEVbET`CRZCN\ ZCLXCJVAGTAERACPA8PA6N84L80J80H80H80N60T40Z20`00b0\ 0d00e04g0Ai0Gk0Lk0Tm0Zo0dq0is0ou0uv0zx0zx0zz0xz0uz\ 0qz0mz0iz0ez0bz0Zz4Vz6Rz8NzCJzEGzHCzJ8zN4zP0zT0zV0\ zZ0z`0zb0zi0qo0bv0Nz08z00z20z44x6Aq8GiALbCRVEXLGbE\ Hg6Jm0Ls0Nx0Nz0Gz08zA0zR0ze0zd0zd0zd0vd2ud2sd4ob6m\ b6kb8ibAebAdbCb`EZ`EX`GV`HT`HP`JNZLLZLHZNGZPEZPCZR\ HVTLRVPNVTJXXGZ`CZd8`g4bk2do0ds0ev0gz0gz0iz0kz0kz0\ oz0qz0uz0vz0xz6zzCzzHzzPzzVzz`zzezzdzzdzzdzzbzzbzz\ bzz`zz`zz`zzZzzZzzZzzXzzXzzXzzVzzVzzVzzTzzTzzTzzRz\ zRzzRzzNzzLzzJzzHzzGzzEvzCszAoz8kz6gz4dz0`z0Xz0Tz0\ Pz0Lz0Hz0Ez0Az06z02z06z08z0Cz0Ez0Hz0Jz0Nz0Pz0Tz0Vz\ 0Zz0`z0Pz0zzNzzLzzJzzGzzE } 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 20.0 PAR-FORMULA FILE==================================