; Date: Thu, 12 Apr 2012 13:28:04 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-04-12 (The Golden Potato [7.5]) ; Id: <1.5.4.16.20120412133043.2b9fc456@earthlink.net> ; --------- ; ; FOTD -- April 12, 2012 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; There was no FOTD for April 11. It's a minor tragedy, but the ; resilient FOTD has survived and will continue into the ; indefinite if not quite eternal future. ; ; Today's image takes us into the parent fractal that results when ; the formula Z^(1.5)+C is iterated 11 levels up the hyperladder ; with the recip function applied. ; ; This parent is curious in that it has a prominent main period-2 ; bud, while the East Valley area appears to have been absorbed in ; its surroundings. Today's image lies in the chaotic debris that ; marks the area where I assume the East Valley should be found. ; ; The rating of a 7-1/2 shows that I consider the image to be in ; every way average, though I did add an extra 1/2 point for some ; extra coloring work. ; ; The name "The Golden Potato" shows what can happen when whimsy ; is given full rein. It has nothing to do with the image, but ; could draw a few extra viewers who might be curious about what a ; golden potato has to do with fractals. ; ; The calculation time of 7-1/2 minutes will drag. Luckily, a ; great speed-up is available on the web sites, where the image ; may be viewed instantly. ; ; Live in peace by viewing the finished image on the official FOTD ; web site at: ; ; ; ; Extend the peaceful feelings by checking the high-definition ; version at: ; ; ; ; Appreciate the full extent of the fractal grandeur on the ; original FOTD web site at: ; ; ; ; A mix of clouds and sun with a temperature of 57F 14C made today ; a typical mid-April day in Central Pennsylvania. The fractal ; cats took the day as it happened. They were neither happy nor ; dis-satisfied. ; ; The humans had a typically busy day. Typical means nothing ; happened to make the day memorable. The next FOTD is scheduled ; to be posted in 24 hours. Don't be disappointed however if it ; is delayed. The posting schedule has been rather irregular ; recently. Until whenever, take care, and everyone knows ; eaxctly what the real answers to the world's problems are. But ; what is wrong with those who cannot see the truth of these ; answers? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_Golden_Potato { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.5113007384686734/+0.1460151322137333\ /1.811376e+010/1.0765/27.5/0 params=1.5/0/11/0 float=y maxiter=14400 inside=0 logmap=-397 periodicity=6 mathtolerance=0.05/1 colors=000jpRfiObbL_XJWQGSJDPDBwLrkLr_LrOLrVUjzbzz\ jXzkTzzQztMzpJzkFqkCmk8ck5daBjSHmIMhFK`CJT9IL6GD3A\ 5143402761AC0DH5ESAFaFGkKHuMOmOUfQ__ReTSaPTZLUVHUS\ DVO9WL5WI2QS1K`1Ej08z0mz6MjBTfGZbLhXNqROzLPmTT`_WO\ gZBnaC__CLYC6Xvp_rkYnfWkaUgXScSQ`NOXIMUEKVIJVMJVQI\ WUIWYHW`H`ZEdXChVAmT7qR5uP3fR6TT9EVC0WE4XF8YFCZFG_\ GK`GN`GWUCdN9bUA``BZfBXmCWsC3mE9mBEm9Jm7Pm5UmzZmzV\ mzRnzOyzY_zaYzeWziVzmTzqSznmzbmzSmzHmzKmzNmzQmzTmz\ WmzZmzamzdmzgmzjmzmmzomzmmzkmzimzgmzfmzdzzbzz`zz_z\ zYzzWzzUzzTzzQzzOzzTzzXzz`zzdzzizzmzzqzzuzzuzzuzzu\ zzuzzuzoqzemzXizbezgazmYzrZzmZzh_zd_z__zWWzUSzTPzR\ LzQIzOEzNBzMFzIIzFFzJCzN9zR6zV9zSBzQDzOFzMHzKJzILz\ GOzEQzCSzAUz8Wz6Yz4_z2Wz5Sz7OzAKnCGnFDnHApK7qNBpME\ pMIoMLoMPnMSnMVnMZmLamLelLhlLlkLokLrkLsiMsgNteOtcP\ uaQu_RvYSvWTvUTqZSmbShfSdkR_oRWsRSwRMzWGz_Azc5zg8z\ eBzdSznRznQznRzlRzjpzYnzU } 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|