; Date: Tue, 25 Oct 2011 18:46:20 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 25-10-11 (Empire of Numbers [6.5]) ; Id: <1.5.4.16.20111025184717.213f37e4@pop.mindspring.com> ; --------- ; ; FOTD -- October 25, 2011 (Rating 6.5) ; ; Fractal visionaries and enthusiasts: ; ; Today's rather harmless image is named "Empire of Numbers". The ; name refers to the entire world of fractals, whose building ; blocks are the abstractions we call numbers. And for all I ; know, the name might refer to the 'real' world as well. The ; building blocks of the 'real' world are atomic 'particles', and ; any serious book on quantum theory soon leaves the impression ; that these 'particles' resemble numbers rather than the tiny ; electrically-charged billiard balls that usually come to mind. ; Unfortunately, the 6.5 quality of the image fails to live up to ; the magnificence of the idea that the universe is made of ; numbers. ; ; The image lies in the Z^(2.02)+C Mandeloid as it appears one ; level down the complex logarithmic hyperladder (hyperspiral) ; with the 'recip' function applied. This parent fractal is a ; fairly normal Mandelbrot set rotated about 30 degrees CCW so ; that the main spike shoots out toward the WSW. Today's image ; lies in a clump of debris piled along the negative X-axis, just ; north of the large period-2 bud of the rotated parent. ; ; The rating of a 6.5 is all I could manage for the image. There ; is nothing really wrong with it, but neither is there anything ; outstanding. Additional color work might have raised the rating ; to a 7; I failed to see enough potential to try however. ; Curiously, in keeping with the season, the parameter file coding ; for color registers 1, 2 and 3 is BOO. ; ; The calculation time of 2-1/2 minutes is an estimate. The image ; actually took 8-1/2 minutes to finish on the 200mhz machine. ; ; The finished image has been posted on the FOTD web site at: ; ; ; ; The image, rendered in high-definition, is posted at: ; ; ; ; The original FOTD web site may be accessed at: ; ; ; ; Sunny skies and a mild temperature of 61F 16C made today a ; pleasant one here at Fractal Central. The fractal cats took to ; their shelf to enjoy the warm sun, which once again streams ; quite strongly through the southwest window on sunny days. My ; day was spent trying to decide whether to try to resurrect the ; out-of-action 2000mhz fractal computer. I finally decided to ; put it off until tomorrow. The machine has so many problems ; that it would likely be a losing battle. Until we purchase ; the next business machine, I'll probably use the old warhorse ; 200mhz machine (It's slow but it runs perfectly.) Then I'll ; convert the outdated unit to fractal duty. The next FOTD will ; be posted in 24 hours. Until then, take care, and the world is ; not quite the way it appears. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Empire_of_Numbers { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.961447228066923/-0.00000005309672964\ /5.98e+11/1/90/0 params=2.02/0/-1/0 float=y logmap=233 maxiter=2000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000B00B00B00B01B02B03C04C15C26C37D48D59D6AE\ 7BE8CD8BF9DIBFMDGRFIVGJYILaKNeLOhNQmORrQSzURvRStON\ rMNpJNnGNoBNlENjGNhINfKNdMNbOO`QPZS_WVbUXfS_hQbjOe\ oMhrKkzImwHipHejH`bGXSGTHGOGGLAFIBFEBFBCE98F8CF7GG\ 6JG5NH4QH3UH2XL7RPBMTGHXKCVQD`O7lP0iO0fN2dM6aLAZKE\ XJIUJNSIRPHVMGZKFbHEf99nFEjKIfPMbUQZ_UVdcRimNmwOnr\ MnwKnrInwHxdDrYDoWBoUAoS8oQ6oO4vK0rM2oN3lP4iQ5fS6c\ T7_V9XWAUYBRZCO`DJg7KdBLaEMZHNWKOTNPQQQNURKXSH_TEb\ UBeV8hV3jW5kX7lY9lZBm_Dn`FnaHobJocLpdNqePqfRrgTreW\ pdYoc_nbamacl`ej_giZihYkgXmfUqiWoeXmbZk__iXagTbeQd\ cNeaKhbIf`HeZGdXGcVFbTF`RE_PEcTQYMDXKCVICUGBTEBSCA\ UA3RBAOBHLBOIBVFBaACiCBgDCeEEdFGbGIaHK_IMZJOXKQVLS\ UMUSNWROYPP_OQaMRcLPePOgSMiWLkZKmbIoeHqiEsnGtlIukK\ viMwhOxfQyeSzdUzbWzaYz__zZazXczWhzWfzVdzVmzVmzVmzU\ mzUmzUzzUzzTzzTzzTzzVzzUzzTzzSzzRzzQzzPzzOzzNzzMzz\ LzzKzzJzzIzz8zz9zzBzzCzzD } 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|