; Date: Tue, 02 Jul 2002 11:20:25 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-07-02 (One Froggy Morning [7]) ; Id: <1.5.4.16.20020702112048.29c79c9a@pop.mindspring.com> ; --------- ; FOTD -- July 02, 2002 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Fractals of the Mandel-Julia variety are filled with holes, ; especially when the iterated expression contains more than one ; power of Z. These holes come in many varieties. There are the ; obvious Mandelbrot midgets and Julia sets, and then there are ; the other types of holes that defy description. Today's image ; features one of these 'other' holes. ; ; The area in question was pointed out to me by Lee Skinner in an ; image he sent privately several days ago. The orange-colored ; holes near the center are of a type I have seen in images ; created with the branch-cuts formula when the exponent of Z is ; in the area of 1.15, but in today's image, several things appear ; to be happening at the same time. It almost appears that the ; two different powers of Z are doing things independently of each ; other. A math expert might be able to tell what is going on in ; today's image, but not being a math expert, I have no idea. ; ; While studying the image, I had the distinct impression of a ; frog staring back at me. I promptly named the image, "One ; Froggy Morning". The rating of 7 is justified because the image ; is a bit -- well -- cute. ; ; The render time of over one hour on a P200 machine is not cute ; however. I advise letting Paul and Scott do the heavy work and ; downloading the completed image from their one of the web sites. ; Paul's site is at: ; ; ; ; Scott's is at: ; ; ; ; The fractal weather Monday at Fractal Central was typical summer ; fare for these parts of the world -- HHH -- hazy, hot and humid. ; The temperature of 92F 33C, combined with the high humidity and ; foul air, made the outdoors unpleasant for most of the day. The ; dynamic duo of cats must have agreed, for they stayed on the ; porch only a few minutes before coming in and asking for their ; tuna treat. ; ; As for me, it's another Tuesday, even hotter than yesterday, and ; I've got a bit of work to finish before returning to the FOTD ; CD, which should be ready for distribution by the end of summer. ; But the end of summer is still over 2-1/2 months away, and ; before then we'll have many more fractals added to the ever- ; growing list. The next fractal will appear on July 4. Until ; then, take care, and digress but don't egress. ; ; ; Jim Muth ; jamth@mindspring.com ; ; ; START PARAMETER FILE================================ One_Froggy_Morning { ; time=1:09:42.15--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=6.57209/0.000937142/22.6787/1/-80/-1.23\ 37353361147052e-014 params=-0.2/-1.25/-0.2/-0.8/0/0 float=y maxiter=160000 inside=0 logmap=19 periodicity=20 colors=000j85Q85h96g96fA6eA7eB7dB7c\ C8bC8aD8`D9_E9ZE9YEAXFAWFAVGBVGBUHBTHCSICRICQJDPJD\ OKDNKEMLELLEKMFKNFKNFLOFLOFLPFLPFMQFMQFMRFMRFMSFNS\ FNTFNTFNUFOUFOVFOVFOWFOWFPXFPXFPYFPYFQZFQZFQ_FR_FR\ `FR`FRaFRaGSaGSbHTbITbJUbJUbKVbLVcLWcMWcNXcNXcOYcP\ YdQZdQZdRZeS_eT_eU`eU`eV_eV_eX`fZ`f_`gaagcageahfah\ hbhjbilbimcjocjqckrcktdlvdlxemzgnzhozjpzlqzmrzoszp\ tzruztvzvwzwxzyyzxxywwxuwwtvvsuurutqtrosqnrpmrolqn\ jqmipkgojfniemhcluckfnmtakhchWahlZZZb`_eb`idamgcni\ goklpmpqpupotonrnlqmkoljnjhligkgfjfeiddhccgaaf``eZ\ _dYZcWXaWW_VUYUTWTRUSPSSOQRMOQLMPJKOIINGGLEEKCCLDC\ NEDOEDQFDRGESHEUHEVIFXJFYKG_KG`LGaMHcNHdNHfOIgPIiQ\ JjRJlSKnTLoULqVMsWNuXOwZPw`QwbRwdRxfSxhTxjUxlUxnVx\ pWyrXytYzvZzx_zz`zw_zuYzrXzoVzmUzjSzgRzePzbOz_MzYL\ zVJzSIzQGzNFzKDzHCzFAzC9yA7y75y54y32z00y00x11yA1zK\ 1zN1zQ2zT2zU2zU3zU3zU3zU4zU4zU4zU4zU0zU0 } frm:MandelbrotMix4 {; 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, 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================================== ; ;