; Date: Mon, 30 Jul 2007 22:46:02 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 31-07-07 (The Parent Fractal [Not Rated]) ; ; Id: <1.5.4.16.20070730225136.2ba7b68c@pop.mindspring.com> ; --------- ; ; FOTD -- July 31, 2007 (Not Rated) ; ; Fractal visionaries and enthusiasts: ; ; We end the month of July with one of those mysterious parent ; fractals I so often mention but so rarely show. But this parent ; is so unique that I just could not let it fade into the shadows ; of lost fractals. It is so unique in fact that I intend to use ; it as the source of the next few days' images. And yes, it is ; the parent of yesterday's 'Endless Loop' image. Even more ; surprising, I reused the color palette of yesterday's image. ; ; The formula that created this parent combines 2.5 parts of ; Z^(-1.05) with 0.35 part of Z^(-5.05) and adds (1/C). Since it ; is an image which came about with no exploring, I could not ; fairly give it a rating. ; ; The name I gave the image -- "The parent Fractal" -- is a simple ; description. The calculation time of 40 seconds is brief enough ; to make the most impatient fractalist happy. But the most ; convenient way to see the image is still to visit the FOTD web ; site at: ; ; ; ; and view it there. ; ; One final note -- today's image is not the last we will see of ; this parent fractal. ; ; Hazy, hot and humid (86F 30C) was the weather story here at ; Fractal Central on Monday. Thunder-showers were in the general ; area most of the day, but none ever came close enough to cool ; things down. The fractal cats kept cool by ignoring the heat. ; I kept cool by being too busy to notice it. And the air condi- ; tioning helped keep me cool also. ; ; The next FOTD will appear in 24 hours. At least it is supposed ; to. Only time will tell if it actually appears. Until next ; time, take care, and how many 3-D spheres could fit in a 4-D ; hypersphere of the same diameter? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Parent_Fractal { ; time=0:00:40.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=t center-mag=131.174/240.484/0.003475104/1/-47.5/\ 3.88578059e-016 params=2.5/-1.05/0.35/-5.05/0/0/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000CUdEUcGUaIV`KVZLVYNWXPWVRXUTXSVXRXYPYYO_\ YNaZLcZKeZIg_Hi_Fk`En`Dn`Bq_Ara8uY7vb5wX4yb3uW5u_6\ sV8qX9oUBmVClTDjSFhQGfQIcNJbNLYLM_LNUJXWIQRH`SFTQE\ bODWNCfPEYQFfRH_TIgUKaVLlXNmYOrZQz`PzaTzbTzdWzeWzf\ ZzhZziazjazldzmdzngzpgzqjzrjztmzumzvpzxnzyszwpzxqs\ vnotkjsifqfbocYnaUlZPjWLiUHjWIjXIjYJjZJj_Kj`KjbLjc\ LjdMjeMjfNjgNjhOkjOkkPklPkmQknQkoRkpRkrSksSktTkuTk\ vUkwUkxUEdaFb`Ga`G``H__HZ_IY_IXZJWZKVZKUYLTYLSYMRX\ MQXNPXOOWONWPMWPLVQKVQJVRIUSHUSGUTFTTETUDTUCTVDSVD\ RVEQVEPVEOVFNVFMWGLWGKWGJWHIWHHWIGWIFWIE_JHbJKfJMi\ JPlJRmJSmITnIUoHVoHWpGXqGYqGYpIXpJXpLXpMWoNWoPWoQW\ o`VobVncVneVnfUngUmiUzjUzkTzmTznTzpTzqSlrSltSkkSkl\ Rkzmkzmkzmezm`jOWgMRdLMaJHZICWHBXIBXIBXJBXJAXKAXKA\ XLAXLAYM9ZM9_N9`N9aO9bO8cP8dP8eQAfQFgRKhRPiSUjSZkT\ clThmUmnUroVvpVzqWzrWzsXztXzuYzvYzwZzxZzy_zz_zz`zz\ `zzazzGzzHzzHzzWzzizzgzzf } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint