; Date: Sat, 12 Apr 2008 20:25:37 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 13-04-08 (Minibrot [No Rating]) ; ; Id: <1.5.4.16.20080412202808.2b5f1d70@pop.mindspring.com> ; --------- ; ; FOTD -- April 13, 2008 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "Minibrot", and that's all it is. After ; spending the entire afternoon clearing the winter debris from ; the yard, I had almost no time for a proper fractal search. So ; I took the first minibrot I could find in the Z^(1.75)+C ; Mandeloid as it appears 6 levels up the logarithmic ladder when ; the cosine function is applied, and declared it Fractal of the ; Day for April 13. ; ; The parent fractal is a distortion of the classic Mandelbrot ; set, with today's scene located in its Seahorse Valley area. ; With no effort involved in its creation, the image could not be ; given a rating. ; ; The calculation time of 4-3/4 minutes is within reason. But it ; is equally reasonable to completely avoid the effort of calcula- ; tion and view the finished image on the FOTD web site at: ; ; ; ; Saturday was the best day so far this spring here at Fractal ; Central. A heavy thunder-shower around 5am cleared out the ; murk, and by 9am the day was sunny with a temperature of 68F ; 20C. Things got even better in the afternoon when it reached ; 73F 23F. The fractal cats watched from the back window with ; amusement as I started work in the yard. The next FOTD is due ; and will likely appear in 24 hours. Until then, take care, and ; don't waste energy on a heroic but futile effort to create true ; meaning in a meaningless universe. This is what born-again ; skeptics and Atheists do, and I have never yet seen one succeed. ; But above all else, think positive. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Minibrot { ; time=0:04:43.24-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=cos passes=1 center-mag=-0.643729366910521/+0.3961159852470334/\ 95347.75/1/97.5/0 params=1.75/0/6/0 float=y maxiter=7500 inside=0 logmap=212 periodicity=10 colors=0002G83G94GA6GB7GC8FDAFEBFFCFGDFGKJKRMOYPSd\ TWkW_rZbo`alaajbagc`ed`be`_f`Yg_Vh_Ti_Qj_NkZLlZImZ\ GnZEfdDZiCSnBKsADxGLwMTvS`uYhtcpt`nsYlsVksTisQhsNf\ sLesKctJatI_tIYtHXtGVtFTtFRuEPuDOuCMuCKuBIuAGuAFu9\ Gr9Ho9Im9Jj9Kh9Le9Mb8M`8NY8OW8PT8QQ8RO8SL8SJ9RK9RL\ 9RL9RM9QN9QN9QO9QP9QPUZKnfGmdImcKlbLlaNk`Pk_QjYSjX\ TiWViVXhUYhT_hS`fXad`acdbahb_mcZqcXudWydTzeRzePzeN\ zeLzeJzeHzeFzeDzeBzeEvcGrbIoaLk`Nh_PdZRaYUYWWUVYRU\ `NTbKSdGRfDQcPR``RZkR_jT_jU`jW`iX`iZai_ahabhbbhdbh\ e`ggZfhXeiWdjUckSclRbmPanN`oM_pK_qIZrHYsFXtDWuCWvD\ UvDSvDRvDPvDOvDMvEKvEJvEHvEGvEEvEDvIKoMRiPYcTdYXkS\ _rM`pOanPblQcjRdhSefTfdUgbVh`XiZYjXZkV_lT`mRanPboO\ c_WVKbM5iE5jG4kI4lK4mM4nO3oQ3pS3qU3rW2sY2t_2ua2vb3\ wa4xa5ya5za6z`7z`8z`8z`9z`Az_Bz_Bz_Cz_Dz_EzZEzZFzZ\ GzZGzZKz`NzaQzbTzcWzdZzeazfezghzhkzinzjqzktzlwzmtz\ oqzpozqlzrizsgzt2z81z70z7 } 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|