; Date: Wed, 11 Jul 2007 00:46:57 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 11-07-07 (A Jolly Scene [5]) ; ; Id: <1.5.4.16.20070711005213.2f9f6f74@pop.mindspring.com> ; --------- ; ; FOTD -- July 11, 2007 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; I must once again apologize for the lateness of the FOTD. My ; excuse is that the weather was very hot on Tuesday and I felt ; lazy. It's really no excuse, but it is the truth. ; ; The image that I found when I finally mustered the energy to ; search is a scene in a valley of the Z^sqrt(2)+C Mandeloid as it ; appears a meager 1/2 level up the complex logarithmic hyper- ; spiral. This formula is one of my favorites. It is not as rich ; as its square, the classic Mandelbrot set, but there is only one ; fractal that can be generated by the formula Z^2+C, while the ; formula Z^sqrt(2)+C creates nearly an infinity of fractals, all ; different yet all strangely the same. ; ; I'll not try to describe the parent fractal, since it is so ; easily generated, but the image I found within it rather reminds ; me of a gala event, which inspired the name "A Jolly Scene". ; The rating of an average 5 says very little about the image. I ; did not put enough work into it to rate it any higher, and this ; type of image has been posted as the FOTD so many times that it ; has become hackneyed. ; ; The parameter file takes 9-1/2 minutes to run on the fast ; computer. On the slow machine it would take 45 minutes to ; finish. For convenience the parameter file has been calculated ; and posted on the FOTD web site at: ; ; ; ; With a temperature of 97F 36C and oppressive humidity here at ; Fractal Central, Tuesday was a day to be ignored. And indeed ; the fractal cats did ignore it. They concerned themselves with ; the chipmunks (I think there are two of them) that have been ; running around in the back yard grass. ; ; I concerned myself with work first and fractals second. The ; result speaks for itself in the parameter file. As always, the ; next in the series of FOTD fractals will appear in 24 hours. ; Until then, take care, and wait with bated but not abated breath. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= A_Jolly_Scene { ; time=0:09:29.97-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.11710695179565920/+1.315337975141092\ 00/6925.211/1/45/9.0035527644527491e-011 params=1.4142/0/0.5/0 float=y maxiter=8000 inside=0 logmap=549 periodicity=10 colors=000S8CQ9DOAELBFJCGGCHEDICEJ9FK7GL5GM7JO8MP9\ PRASSBVUDYVE`XFbYGe_Hh`TkbYnccrecufewhbxi_ujXqjXnj\ WjjVfjXcjY_j_Wk`TkaPkcLkdIkfEkgAkj8oh7kf6gd6cb5_`4\ W_4SY3OW2KU2GS1CR19Q1AP1AP1AO1AN1BN1BM1BL1BL1BK1CJ\ 1CJ1CI1CI1CH1DG1DG1DF1DE1EE1ED1EC1EC1EB1FA1FA1F91F\ 91FB3GD5HE6IG8JH9KJBLKCMMENNFOPHPQIQSKRTLSVNTWOUYQ\ VZRW`TX_EIaUXcijexxgtthqqjnmkkjliilghlfgldglcflael\ `dlZdlYclWblValTalS`mQ_mPZmNZmMYmKXmJWmHWmGVmEUmDT\ mBTmASm8Rq2Pm7RiBTeGVaKXYOZUT`RXbNadJefFihBnj7rl4v\ n6to8soAroCpoEopGnpIlpKkpMjqOhqQgqSfqUdrWcrYbr_`ra\ _scZteXwggzi`zkTwmStnRtlQskQsjQsiQshQsgQsfQseQsdQs\ cPsbPsaPs`PsZPsYPsXPsWPsVPsUOsTOsSOsROtQOuPOvOOwNO\ xOPyMQzLRzJRzISzHTzFUzEVzDWzBXzAYz9ZzA_zC`zEazGbzI\ czKdzMezOfzQgzShzUizWjzYkz_lzamzcmzemzgmzimzkmzmmz\ mmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmm\ zmmzmmzmmzmmzmmzmmzmmzmmz } 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|