; Date: Wed, 11 Jul 2007 23:19:35 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 12-07-07 (Zexpe All The Way [5]) ; ; Id: <1.5.4.16.20070711232452.2b9fafb6@pop.mindspring.com> ; --------- ; ; FOTD -- July 12, 2007 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; For today's fractal we return to the Zexpe fractal so named by ; Lee Skinner. We explore it as it appears at a height of epsilon ; (2.718...) levels up the log ladder. At this slight height the ; parent fractal resembles a twisted cubic Mandelbrot set with an ; unusually intricate large bud where the western valley should ; be. Today's image is located in the east valley of a larger ; midget on a filament extending from the intricate large bud. ; ; I named the image "Zexpe All The Way", which is a reasonably ; accurate description of it. I rated it at an average 5 because ; the image is the second Zexpe fractal to appear in the past few ; days, and repeats never bring fractal satisfaction. ; ; The parameter file is lightning fast. It finishes in only 23 ; seconds on the recently retired but still quite functional P2000 ; which I am reconfiguring to run Fractint as efficiently as ; possible. ; ; An equally convenient way of viewing the image is to go to the ; FOTD web site and view it there. The web site may be accessed ; at: ; ; ; ; With a temperature of 86F 30C and cloudy skies, the heat was not ; too bad here at Fractal Central on Wednesday, but the humidity ; was sky high, which made it as oppressive as the past couple ; days. The fractal cats ignored the heat but kept watch for the ; chipmunk or maybe two that have been scampering around the yard ; for several days now. ; ; My day was decidedly busy. Thursday will be the same. The next ; FOTD will appear in 24 hours. Until then, take care, and don't ; get lost in fractal complexity. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Zexpe_All_The_Way { ; time=0:00:23.23-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 periodicity=10 center-mag=-1.22969648826291200/+0.345960913903965\ 50/13434.19/1/-70/-4.92854923539454148e-011 params=2.71828182845905/0/2.71828182845905/0 float=y maxiter=1600 inside=0 logmap=32 colors=000eFUfGVgHWhIXiJYjKZkL_lM`mNanOcoPepQgqRir\ SksTmtUpuVsvWvwXxxYzy_z0HCCMKNRRZWZi`eVQWGGMA6DKBE\ UFFcKGhOHmTIrXJvaKzeLzhJscIrYHcNGAIOUDWKHaJLgRPlZT\ rfXwf5lMJMPHQRFTUDWWBZZ9a`7dc5ge4je3ke2me1nVShKrbJ\ naJkaIhaId`Ia`HZ`HW`GS_GP_GM_FJ_FFZECZE9ZE6ZJ5VO4S\ T4PY3Mb2Jg2Gd6LaAQZEUWIZTMcQQgNUlKYqIau9Sj1I_n24k9\ 5hG6eM6bT7__8Xe8UaBSZEQWGOTJMPLKMOIJQGGTEDVOEYYE_g\ EaqEczEeuJdqNdmRciWce_bLr``cbXhaTlaPp`k73bOFUdQqZN\ kbQffS`iUWmXQqZNBeMIdMPcMVbLabLgaLn`5V08_7BcDDgJGl\ PJpVNMZMP_MS_MV_MX_M__Mb_Ld`Lg`Lj`Ll`Lo`Lr`UnPToQS\ oUSpZRpcRphQqmQqrPqvOrzOrzNszNszMszMtzLuzevzawzZxz\ VyzSzzOzzkzzhzzfzzczzazzZzzXzzUzzzzczzbzzazzIzzMzz\ PzzSzzVzzYzzYzzZzzZzz_zz_zz`zz`zzyzzrzzlzzfzzvzzqz\ zmzzhzzdzzczzbzzbzzbzzazzazzazzazz`zz`zz`zzyzzlzzn\ zzmzz8zzBzzEzzHzzKzzNzzQzzRzzRzzRzzRzzSzzSzzSzzSzz\ Xzz`zzczzczzczzczzczzczzc } 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|