; Date: Tue, 13 Nov 2007 21:58:28 -0500 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 14-11-07 (Zexpe at Large [7.5]) ; ; Id: <1.5.4.16.20071113215958.2adf131a@pop.mindspring.com> ; --------- ; ; FOTD -- November 14, 2007 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's image lies in the Z^(EPSILON)+C Mandeloid, sometimes ; known as the Zexpe fractal. But today, instead of concentrating ; on the ground level, we examine the Zexpe at a height 4 levels ; up the logarithmic ladder, where it is shaped roughly like a ; Mandelbrot set rotated so that its west side is facing south- ; east. Today's scene is located in a tiny valley in a bud on the ; northeast shore of the main bay of this parent fractal. ; ; Only my modesty prevents me from admitting that most of the ; effect of the image is due to my coloring efforts. The extra ; half-point in the rating of 7-1/2 recognizes this effort. The ; name "Zexpe at Large" can mean whatever the individual fractal ; viewer wants it to. The magnitude of the image is 2*(10^13), ; large enough to make the mathtolerance entry necessary in the ; included parameter file. ; ; The calculation time of under 2 minutes on the fast machine ; would stretch to about 7 minutes on the slow unit. But even ; this small bit of time may be saved by visiting the FOTD web ; site at: ; ; ; ; and viewing the finished image there. ; ; Tuesday dawned rainy here at Fractal Central, but the rain ended ; by 8:00am, leaving behind heavy clouds and a light fog. Then, ; just before noon, a breeze sprang up, clearing the clouds and ; fog almost by magic. The afternoon was sunny and quite mild, ; with a high temperature of 61F 16C. The fractal cats observed ; all this with passing interest. The squirrels foraging in the ; back yard were far more interesting to the cats. ; ; My day was fairly busy, though still well under control. The ; next FOTD will appear in 24 hours, give or take a few. Until ; then, take care of your fractals, for perhaps they are mere ; delusions that are common to many people. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Zexpe_at_Large { ; time=0:01:54.52-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=+0.77754390860285990/+0.036243793086052\ 48/2.00498e+013/1/-46.7/0 params=2.71828182845905/\ 0/4/0 float=y maxiter=1700 inside=0 logmap=156 periodicity=10 sound=off mathtolerance=0.05/1 colors=000ND9Q89T49X6D`8Gc9JgBMkDPnESrGVuHYcf8Y`AS\ VCNPEHKFCEH68J13KWGDzS6kcBXnGJyLBcV4IcQMVkQNjVMjZM\ ibLigLhkKhoKhsKilLifMj_MjUNkOOkHOlBPzzzzzzzmzvhzrc\ zmZviUrbPmWKiPDeI6eDIeEKiFMmFNpFOrFPtFQvFSxDUzBQdA\ TX8WO7ZG5a84c0CX6KQCSJI_DNYCPXBQWBSVATU9VT9WYDWaGW\ fJWjNWoQWsTWrX`r`eqciqgnpkspnwfbqYRlPFfG4aHDYHMUGV\ RITPKRNLPLNOJQMHSKFVIDXHBYIEYIHYJJYJMYKPZKRaJWeJ_h\ JclJgoIksIovIsyIwsJtmKqhLnbMkXNhSOeMPbHQ_ONWUKT`HP\ fEMlCJjJQhPWfVadahbgn`mtSmhKmXPh`TddY`haWlfSpjOtcS\ nXWiQ_cJcZCgUMbSVYQdTOmONlLOmQWnUboZipbpqfwbhiPjWB\ kJMgTWdbeal_ZjUWhOUfIUdCUb7U`EUcLUeRUhYUjcUmjUopUq\ VUaAUMKUHTUDaU8jU4_V6QW8GXA6YBDZDJ_FQ`GWbIabKhcLnc\ NtcOscQscRscTscUpcQmcMjcJhcFecBbc8_c4Yc1`cBbeLdgUf\ ichklgmigoggqdgsbdu_`wXYyUUzRRzOOzLKzIHzFDzCAz96z6\ 3z3wzjozdhzZ`zTczVfzXezXdzYdzYczYczZbzZbzZ`zTZzNYz\ HUzORzVNzaKz_9z9Cz9Gz9Jz9 } 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|