; Date: Sun, 13 Nov 2005 11:51:56 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 12-11-05 (A Julia Set for All-2 [5]) ; Id: <1.5.4.16.20051113115336.2ae7c5a8@pop.mindspring.com> ; --------- ; ; FOTD -- November 12, 2005 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Quite a while back, I received an e-mail from a forgotten ; someone who asked me why I so often end my FOTD discussions with ; such silly questions. Maybe it is because I am such a silly ; person. After all, why would any sensible person devote as much ; time and energy as I do to such a fruitless endeavor? But as ; for the questions, they are not supposed to be answered. They ; are merely philosophical thoughts in the guise of questions. ; Today's closing question for example asks about Julia sets on ; the head of a pin. It cannot possibly be answered because ; fractals are abstractions with no definite size. Anyone who ; tried to answer it would soon find themselves thinking about the ; true size of a fractal and would realize that a fractal is not ; the same kind of thing as a speck of dust or a planet. ; ; Today's image is a fractal. This much is certain. Yesterday's ; image was a Julia set of the south branch of Seahorse Valley of ; the Z^(2.01)+C Mandeloid as it appears 17 turns up the logarith- ; mic spiral. Today's image is a Julia set of the north branch of ; the same valley. But don't assume it is a repeat. The corres- ; ponding Mandeloid has no X-axis symmetry, and this makes today's ; image quite different. ; ; Yesterday's image consisted mostly of 'inside' stuff made active ; by the 'zmag' inside fill. Today's image shows a Julia set that ; consists totally of 'outside' stuff, quite a bit different from ; both yesterday's image and what would be expected in a conven- ; tional Julia set of Seahorse Valley of the familiar M-set. ; ; I named the image "A Julia Set for All-2". It is the second and ; maybe not the last in the series of similar Julia sets. The ; rating of a 5 indicates that I consider the image to be of ; average quality. The render time of 1-plus minutes assures that ; not too much time will be wasted if the image proves to be un- ; satisfactory. ; ; The finished product is available on the FOTD web site at: ; ; ; ; from where it may conveniently be downloaded and the task of ; rendering completely eliminated. ; ; The partly cloudy skies and 52F 11C temperatures here at Fractal ; Central on Friday did not keep the cats from enjoying their ; usual time in the yard. The lack of wind made it easy for them ; to hear approaching danger. Today is starting cold, but it is ; sunny and the wind is calm. When it warms up this afternoon, ; the cats will have a good time. My day looks peaceful also. ; Until the next FOTD appears in 24 hours, take care, and how many ; Julia sets could fit on the head of a pin? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= AJuliaSetForAll-2 { ; time=0:01:16.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=0/0/0.9861933/1/-17.5/3.88578058619e-016 params=2.01/0/17/0/-0.7496/0.2947/0/0 float=y maxiter=1000 inside=255 periodicity=10 colors=000A0PA0PA0PA0PA0PA0PA0PA0PA0O90N90N80O80O7\ 0P70P60Q60Q50R50R80QB0QE0QH0PK0PM0PPLQWNVbP_hQdoSi\ uTnsTkrThqTepTboT_nTXmTUkTRjTOiTLhTIgTFfTCeTAWY_Mb\ ywQduScsTcqUboVbmWalXajYahZ`f_`d`_cb_acZ`dZ_eZZfYZ\ gY_hX`iXajWbkWckWdiUefTdcRc`QaYP_WNYTMUQLQOJOMINMH\ MOHMRHOVHTZHYbHcfHhjHnnHsrHxvHusIsqJpnKnlKkjLigMge\ NdcNb`O_ZPYWQVUQTSRRPSONTMLTJIUHGVFEVEGXEIYEKZDM`D\ OaDPbCRcCTeCVfBXgBYhB_jAakAclAen9go9hp9jq8ls8nt8pu\ 8qvCrqGsmJshNtdRt`UuWYuSavOdvJhwFkwBltDlqFlnGlkIli\ JlfLlcMl`OlZPmWRmTTmQUmNWmLXmIZmF_mCamAbfDa`GaVI`O\ L`IO_CQ_DRYDSXETVEUUEVSFWRFXPGYOGZMG_LH`JHaIIbGIcF\ IdELcINcLPbPRbSTaVVaZX`aZ`d`_hb_kd_n`VoYQpUSmQUjNW\ gJYdF_aCaZ8cW4eT1gR8iSEjTLlTRmUYoVcpVdoUemSflRgjQh\ iOigNjfMfgLcgK`gJYgIVhHShGOhGLhFIiEFiDCiC9iB6iB8jD\ 9jFAjHBjJCjLDjNFjPGjRHjTIkUJkWKkYMk_NkaOkcPkeQkgRk\ iSkjlJeoHdqFcsDbuCbpHcQLR } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } ; END PARAMETER FILE========================================= ; ;