; Date: Fri, 31 Aug 2012 16:10:01 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 31-08-12 (Shattered Dreams [8]) ; Id: <1.5.4.16.20120831161341.2bbfe668@earthlink.net> ; --------- ; ; FOTD -- August 31, 2012 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the parent fractal that results when the ; expression Z^(1.7)+C is iterated 11 levels up the complex ; logarithmic hyperladder with the recip function applied. (The ; 'hyperladder' could more correctly be called a hyperspiral or ; hyperhelix.) ; ; This parent fractal resembles a distorted Mandelbrot set that ; has been rotated so that its East Valley lies on the northwest ; side of the main bay, while its main period-2 bud sprouts from ; the southwest side. A long, twisting filament with a large ; minibrot extends southwest from this bud, but we are not ; interested in this filament. For today's image we check the ; southeast shore line of the misplaced East Valley. ; ; We find some curious elephant pieces in this area, but we bypass ; the pachyderms to check a high-order star, where we find today's ; scene. The rating of an 8 indicates that I consider the image ; to be an above average one found in the range of exponents ; between 1 and 2. ; ; The name "Shattered Dreams" is un-necessarily foreboding. The ; image is actually rather bright and cheerful. The calculation ; time of 6 minutes drags a bit, but relief lies at the web sites. ; ; The finished image is posted for all to see on the FOTD web site ; at: ; ; ; ; The high-definition rendering is available at: ; ; ; ; Back images are online at: ; ; ; ; The morning fog cleared off by 10am, leading to a sunny hot ; afternoon with a temperature of 91F 33C. The fractal cats ; remained in full summer mode all day, except for a brief moment ; of excitement when Nicholas got wind of an unwanted tomcat in ; the area. The humans spent much of the day preparing for the ; big week-end. The next FOTD is not scheduled to be posted until ; September 4, but even then, no guarantee is given or implied. ; Until whenever, take care, and be extremely cautious before you ; believe the promises of the political candidates. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Shattered_Dreams { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.1238618515707104/+0.2069993477786224\ /2.660665e+007/1/-177.5/0 params=1.7/0/11/0 float=y maxiter=5000 inside=0 logmap=702 periodicity=6 colors=000000988AA9BCACEBDFCEGDFIEGKFHMGFOHEQICSJB\ UBJPNRJYZDhf8sfAqfCofEmfGmfImhKmjMmmOmpQmqSmuSmrQe\ oLYjHQgCIe8Ac43dCEiKOnRZsZhwertbpr_opXnmUmkRliOkfL\ idIhbFg_CfY9eW7dUAaTC_SFYRHWPJUOMSNOQMQOKTLJVJIXHH\ _FFaDEcBDf9Ch7Bj5sksohplfniclfajcZh_XeXUcUSaRP_ONY\ PMXQMWQMVRMURMTSLSSLRTLRULQULPVKOVKNWKMWKLXKKXKKZM\ J_OI`QHbRHcTGdVFfWFgYEh_Dj`DkbCldBmeBldCkcDjbEiaFh\ `Fg_GfZHeYIdXIcWJbVKaUL`TL_SMZRNPQ`QR`RT_SV_yJQzMS\ oURdaQUiQJqP9xP8`mITaRMQ`EEi73kE9lKFmRLnXRpbXqibro\ hsunopikkegfacaX_XTXTPYNMZIJ_CG`7D`2BpVHevMoyiMuhD\ ShN`hNbhOehOahLbgIcfGcfDdeBde0ikEejRbjc_jpXjkdhfkg\ aszXzzRrzMkhGUjBKl6Am8Kh9UdBc_CcWDwSFwNzzJzrFzdazR\ wsOuqLspIqnFomCmk9kj7jmFhoMfqTes`cugbwn`yu_0cs1cp2\ cm2ckAcjImiQmhYmgemflmemmanmYnzUozQozNizSczWYz_Tzd\ NzhzzlzzpzzqzzqzzqzzrzzrzzrczXbzXbzWazW`zMczIgzEjz\ Anz6qz2kzIpzGuzEvzHwzKxzN } 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|