; Date: Mon, 19 Mar 2007 23:04:10 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 20-03-07 (FOTD for Mar 20, 2007 [No Rating) ; ; Id: <1.5.4.16.20070319220740.29d729d6@pop.mindspring.com> ; --------- ; ; FOTD -- March 20, 2007 (No Rating) ; ; Fractal visionaries and enthusiasts: ; ; Today's image exists in the fractal that results when the ; formula Z^(2.003)+C is iterated 300 levels up the logarithmic ; ladder. The parent fractal at first looks like a classic ; Mandelbrot set rotated 50 degrees, but closer examination ; reveals small but interesting changes along the negative X-axis, ; which cuts through the area of the period-5 radical on the south- ; west shoreline of the main bay of the M-set. ; ; BTW, this formula is the one that holds the curious Julia ; rectangle that I return to every so often. If real(p2) is set ; to PI, which is the true ground level of the logarithmic ladder, ; the rectangle will appear in its proper place. ; ; While yesterday's image showed an unusually smooth scene, the ; image for today shows an unusually busy scene. The picture is ; so busy in fact that I gave it neither a name nor a rating. The ; calculation time of just over 11 minutes could be shorter, but ; those who take the time to run the included parameter file will ; not be disappointed with the result. ; ; Those who are as busy as I am may save the time by going to the ; FOTD web site at: ; ; ; ; and viewing the image there. ; ; Monday dawned clear but quite cold here at Fractal Central, with ; a temperature of 14F -10C. Strong morning sun raised the temper- ; ature to 41F 5C by noon, when clouds moved in and halted the ; rise. Light snow set in at 3pm, but changed to rain by 5pm. ; The fractal cats were concerned with none of this. They were ; more interested in chasing each other up and down the hallway. ; ; My day was once again quite busy. This busy-ness is getting to ; be the standard situation, which leads me to wonder if it's time ; to start thinking of slowing down. If I do slow down, it will ; not be in the world of fractals. I cannot slow down with the ; fractals. My time is limited but fractals are infinite. And no ; matter how many fractals I find, I will still have seen zero per- ; cent of all that are possible. The next fractal will appear in ; 24 hours. Until then, take care, and if eternity is outside of ; time, will it be possible to see every possible fractal? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= FOTD_for_Mar_20_07 { ; time=0:11:13.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.76196900466103390/-0.000129467755220\ 64/1.914783e+011/1/82.5/-0.016408177 params=2.003/\ 0/300/0 float=y maxiter=2500 inside=255 logmap=302 periodicity=10 mathtolerance=0.05/1 colors=000F6VE4UE3UD1VE2UF3TF4SG5RH6RH7QI8PI9OJAOK\ BNKCMLDLMELMFKNGJNHIOIIPJHPKGQLFRKGQLFQLFQLFPLFPMF\ PMFOMFOMFONFONFNNFNNFNNFMOFMOFMOFMOFLPFLPFLPFKPFKQ\ FKQFKQFJQEJQEJREIREIREIREHSEHSEHSEHSEGTEGTEGTEFTEF\ TEFUEFUEEUEEUEEVEDVEDVEDVEDVEDVEMQGWLIdGJeILeJMeLN\ fMOfOPfPQgRRgSTgUUgVVhXWhYXh_Yi`Zib_icajebjfcjhdji\ ekkhklmknrlovlqzvwzwzzzzzzzzzzzltqkqqkmrjjrigricsh\ `sgYsgUtfRtgNvfOtfOsfPrfPqfQpfQofRnfRmfSlfSkfTjfTh\ fTgfUffUefVdfVcfWbfWafX`fX_fYZfYYfYWfZVfZUf_Tf_Sf`\ Rf`QfaPfaOfbNfbMfbKfcJfcIfdHfdGfeFfeEffDffCfgBfgAf\ g9bgCegFggIljKqhLvgLofMheMacNVbNO_NNYOMWOLTPKSPJRP\ IQQHPQHNRIMRKMSMMSOMNQMJSNETNFUNFVNFXLGZKI_JM`IO`H\ QaIVaJV`KV_LU_MUZMUZMTZMTZLTZLTZLSZLSZLSZLRZLRYMRX\ NRWORVPPUQOTPOSOOSNNSMNSLNSKMSKMRKMQKLPKLOKLNKKMKK\ LKIKKGIKEGICEGACE8AC68A468246024002000000000000000\ 0000000000000000000000zzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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|