; Date: Wed, 17 Jun 2009 19:54:19 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 18-06-09 (Seahorse Valley-18 [6]) ; Id: <1.5.4.16.20090617195547.2b5741d8@pop.mindspring.com> ; --------- ; ; FOTD -- June 18, 2009 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; I have been wondering lately why I consider fractal spirals to ; be boring merely because there are so many of them, while never ; becoming bored with the almost constant flow of minibrot scenes ; I post in the FOTD. I guess beauty, as always, exists in the ; eye of the beholder. ; ; Today's venture into Seahorse Valley takes us into the valley of ; an oversized Mandelbrot set that is quadratic on the surface but ; cubic in its depths. The imaginary value of 0.0588... might not ; seem too deep, but the parent fractal is ten times the size of ; the classic Mandelbrot set, so the things we find here are more ; typical of the things at a depth of 0.00588... in the classic ; M-set. ; ; The expected peanut holes are there, though they are shaped more ; like circular disks than peanuts, and have three lobes rather ; than four. The minibrot at the center is pure cubic, but with a ; series of 2,6,18... elements surrounding it, rather than the ; expected 3,9,27... ; ; The rating of a 6 is all I could do for the image, since I could ; find nothing really exceptional about it. Also, the very slow ; calculation time of 1-1/3 hours, which is due to the overall ; unusually high iteration count, makes the calculation pretty ; much a computerized chore. Luckily, relief for fractal distress ; may be found on the FOTD web site at: ; ; ; ; where I have sent the finished image on ahead so that it could ; be posted as quickly as possible for instant excitement and ; total satisfaction. ; ; The clouds not only hung tough all day here at Fractal Central ; on Wednesday, but rain also fell all day, and the temperature ; never topped a very un-summery 61F 16C. The fractal cats liked ; this not at all, and showed their displeasure by squatting down ; and sulking in the middle of the hallway, where they had to be ; stepped over and could not possibly be un-noticed. ; ; Meanwhile, my day was fair enough. ; ; The next FOTD of a Seahorse Valley will be posted in 24 hours. ; Until then, take care, and what a frustration it would be to ; spend one's whole life searching for the answer, only to find ; the question was wrong. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Seahorse_Valley-18 { ; time=1:19:31.82-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip center-mag=-7.450695707282017/+0.05885084210143485\ /1.29963e+011 params=3/10 float=y maxiter=100000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000C9VDBWEDWEFXFHXGJYKLZPNZUP_ZR_cT`hV`mXam\ Zbm`bmbcmdcmfdmhdmjemlfmofmqgmtgmxhmzjmwfmscmnZmjU\ mdQm_LmVGhQBcL6ZG1UG2UH3UJ3PK4KL5FN5AO65Q64R74S84U\ 84V94X94YA5ZB5`B5aC5cC5dD5eE5gE6hF6jF6kG6lH6nH6oI4\ rG6pI8nJAmKCkLEjMGhNIgOKePMdQObRQ`SS_TUYUWXWYVX_UY\ aSZcR_eP`gNaiMbkKcmJdoHeqGfsEguDhtFgtGgsHgsIgsJgrK\ grLgrMgqNgqOgpPgpQgpRgoSgoTgoUfnVfnWfnXfmYfmZfl_fl\ `flafkbfkcfkdfjefjffjgfgedeccdedcfdbgeahe`if`jf_lf\ ZmgYngXohWphWqhXpiXoiXnjXmjXlkXkkXjkXilXhlXgmXfmXe\ nXdnXcoXbqXarX`tX_uXZwXYxXXyXWzXVzXUzXTzXSzXRzXRzY\ RwYRtYRqZRnZRkZRi_Rg_Re_Rc`Ra`R``RZaRXaRVaRTbRRbRQ\ bROcRMcRKcRIdRHdRFdRDeRBeR9gS7eR8dQ9bPAaPB_OBZNCXN\ DWMEULETLFSKGQJHPJINIIMHJKHKJGLHFLGFMEENDDO64ICDOI\ LTOTZUac_iigroeqncpmapl_okYojWnjUmiSmhQlgOlfNkfLje\ JjdHicFibDhaBga9g`7f_5fZ3eY0eZ2eY3eY4eY5eX7eX8eX9e\ XAeWCeWDeWEeVFeVHeVCCVB7U } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint