; Date: Thu, 24 Jul 2008 21:46:47 -0400 ; ; To: fractint@mailman.xmission.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 25-07-08 (Into the Depths [7.5]) ; ; Id: <1.5.4.16.20080724214714.2b3f434e@pop.mindspring.com> ; --------- ; ; FOTD -- July 25, 2008 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; With today's image we continue the explorations of minibrots in ; the Mandeloids of very low order, going down from yesterday's ; 1.075 to 1.05. The parent fractal is a grossly oversized thing, ; shaped rather like a comet, with debris fields on both sides of ; its squared-off outer extremity. It was produced by calculating ; the formula Z^(1.05)+C at a level 13 turns up the logarithmic ; hyperspiral. ; ; Today's image is located at the edge of the southern debris ; field at the outer extremity of the parent. The exact spot is ; impossible to recognize on the surface, and I needed to use my ; not-so-secret method of identifying minibrots to ferret out the ; elusive little midget. ; ; In fact, I never did reach the minibrot itself. The resolution ; breaks down well before the minibrot becomes visible. But the ; pattern around it is quite interesting -- perhaps the best de- ; fined pattern I have yet found around a minibrot in a fractal of ; such a low order. Or maybe it's just that I put a bit of effort ; into the coloring. ; ; I named the image "Into the Depths", which is a fair description ; of the impression I get while studying it. I rated it at a 7.5, ; mostly because it is surprisingly rich for a scene in a fractal ; of such a low order, but also to give myself a pat on the back ; for the coloring. ; ; The calculation time of just under 2-1/2 minutes on a fireball ; 2000mhz machine should bring tears to no one's eyes. But compu- ; ters are notoriously prone to stubbornness, so to guarantee dry ; eyes, I recommend visiting the FOTD web site at: ; ; ; ; and viewing the finished image there. ; ; The next FOTD will appear in 24 hours, most likely continuing ; the same theme with an exponent even closer to unity. Until ; then, take care, and take no fractal for granted. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Into_the_Depths { ; time=0:02:24.45-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-14.84534363332544/-23.4626947348403/\ 4.554307e+010/1/-21.75/0 params=1.05/0/13/1500 float=y maxiter=1500 inside=0 logmap=228 periodicity=10 mathtolerance=0.05/1 colors=0000FTWQh00fKDZWLa00ZGIZOHYWFSE4JUCZRAbW9JT\ QJUFdzuJwcLUL`UJeQUQRNSUGjT9dT3WU9bVFqzLnzMoVMoVNz\ zTzUOZUOzTPrT0qTQsSQzSGtSRtRSuRSzRTvRTvPUwNUwLVwJV\ wHWwFWwDXxBXx9Yx7Yx5Zx4Zx5`t5ap5cm5di5fe6gb6cZ6jV6\ lS6mO6nLDsFJc9NcGRyMVcSYyYacceziizolzuhxtdvt`ttXrs\ TpsPnsLlrHjrEirvN0qR7mVDiYJeaP`eVXh`TlfPplLsrCfS4U\ 18XAC_JGaRKd_OfgQccRa`S_XUYUVWQWUNXSKVXIT`HReFPiEN\ nCLrBMrDNrEOrGPrHQrIRrKSrLTrNUrOUrPUnMUjKUgzUczU`z\ UXzUUzUQzUNzROzOPzLPzIQzFQzCRzARzEUzHWzKZON`UQc`Te\ fWhlZjralxXgwTbwPYvLTvHOvDJu9Eu5AuCEzJIzKHzLGzMFzN\ EzOFzOGzPHzPIzQJzQKzRLzRLzRMzSNzSOzTPzTQzURzUSzUSz\ TRzSRzRRzRRzQQzPQzPQzOQzNPzNPzMPzLPXLPZKN`JLaJJbII\ cHGdHEeGCfGBgDAjA9m78pCDqHIrMMsRRtWVu`_vecw_YtVSqQ\ NnbrA`q9Zp9Yo9Wo9Vn9Tm8Sl8Ql8Pk8Nj8Mj8QkDUlHXmM`nQ\ cnUbmXblZbkaajcajeaihahj`gl`fo`fq_es_dv_cx_czX`wVZ\ tTXqRVnOTkMRhuAPXXrWVoWTm } 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|