; Date: Sat, 18 Oct 2003 09:26:39 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 31-03-98 (Symphony in P-Flat) ; Id: <1.5.4.16.20031018092741.29bfa61e@pop.mindspring.com> ; --------- ; ; F.O.T.D., March 31, 1998 (Symphony in P-flat) ; ; Fractal visionaries: ; ; This first paragraph was written on October 18, 2003. I wonder ; whatever happened to Doctor J. in the 5-1/2 years since the rest ; of this discussion appeared. And things are looking good for ; the resumption of the ongoing FOTD by the end of the month. ; ; START MARCH 31, 1998 DISCUSSION=========================== ; ; I see that Dr. J is loose again on the internet. I heard his ; mad-scientist laughter the moment I signed on. I only hope he ; can keep himself firmly in three-space. We've been losing far ; too many good fractalists into the fourth dimension lately. ; ; As the doctor zipped past my place, he dropped off a fractal ; that looked like two M-sets, one on top of the other. To view ; the image properly, I needed my red and blue glasses. Luckily, ; I found them still tucked inside my "Fractal Creations" book. ; The glasses showed not two but three M-sets -- a red one that ; looks like a snowman and two overlapping blue sets. I had ; several questions to ask, but the doctor flashed away before I ; had a chance. ; ; Today I had planned, I had honestly planned on describing how I ; stumbled upon what I consider to be one of the most incredible ; of fractal objects -- the perfect rectangle at ; Z=0.00019,0.07388 in the Julia set of the Z^2.003+C figure ; with a starting point of C=-1.7435,0.0. ; ; I started out well enough on the article, and had it nearly ; half finished, when an unexpected rush job arrived that took ; longer than expected. Rather than rush the article to comple- ; tion, I decided to postpone it until tomorrow, when I will have ; time to get it right. ; ; But not to disappoint anyone, I have a fractal for today -- an ; admitted quickie. It looks rather like a Pollock painting, ; where streaks and splotches of paint are dripped and splashed ; around the canvas. But this one is a pure fractal. It is a ; scene in the (-Z)^(-0.95)+C figure, made more presentable by ; the epsiloncross inside fill, which adds the streaks to the ; splotches, which are part of the fractal. I named the picture ; "Symphony in P-flat" because it reminds me of a scene in an ; old Disney animated musical film. (I think it is the 'After ; You've Gone' segment of the film 'Make Mine Music'.) The image ; is sliced in the Parabolic direction. ; ; This particular image could really benefit from anti-aliasing ; to correct the fine lines which have broken into dashes. But ; even in its imperfect state, it is worth a look. The picture ; has been posted to: ; ; http://home.att.net/~Paul.N.Lee/FotD/FotD.html ; ; Tomorrow, I'll tell the tale of the vanishing rectangle -- I ; really will -- honest! Until then, take care and . . . ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE=========================== Symphony_in_P-flat { ; 38 seconds at 200mhz reset=1960 type=formula formulafile=slices.frm formulaname=ParabolicMiN passes=1 center-mag=0.0\ 860258/0.0841156/0.8239817/1/-57.5 params=-0.95/\ 0/0/-1/0/0.4 float=y maxiter=252 bailout=25 inside=epsiloncross logmap=yes symmetry=none periodicity=10 colors=000kBXP0mK_JnpEz0z000tzZJI\ bZCfd4J0v0HdGYNVpWmoJkHC5Y9Q3wNYpYfTcBT7VHRV9D\ <2>i6amV4nMInEWkMRmE`T7R<2>i6eRp5<2>hH_eSShKYkDc\ FcCRSObHZBBqP9na7kPzIK8xV7sd6n17E<2>b6a`7OCwjWXi\ 5iMLWU_Jac5d<2>l6hZThzwW<2>qJftjV<2>oGfpsC<2>nIa\ WG89Zi6JJ`N7<2>kA`EMQRGXbBcB2UNab<2>gEhrJ1jobl_e\ mLgXiabWdhJg`Cyafl<2>kFiFN3<2>eA_WOeeFghVdkIgU7L\ <2>i6cvb8B_mPQkaGjczOiYZrGfq`BpQNoGZC4WW5b4kL<2>\ cGcf4c<2>l6hrzPpY_fDfj9hRlyZYsfKnDLmQGkbBjRdgbNh\ 7GLhIqjEnlAk6vMLdU_NaXoZEnZR_bbLfNCb7F0<2>c8ZWdw\ `WseNpjEln7N<2>n6d7SjTHi5Wn<2>cCj0V9HMMYEYdY`hOc\ kFfwOZiH5<2>m8_lJemCgQpiZ`ifLisAyp8q`dG`y5efJjOX\ UcqdNmt4Ur5_p6dpli<2>nGi5ly<2>cGmnfSnUYnIclvu<2>\ nJlECnRAlb8jggjkPiqLLea2QcKBeaT8R<2>mM2<2>9up3i5\ TNHS_QSkZQhYPeXPSIPF3W4M<3>o11Uczn4OgGJiDQ } frm:ParabolicMiN {; Jim Muth b=p1, z=imag(pixel)+p2, c=real(pixel)+p3: z=(-z)^(b)+c, |z| <= 16 } ; END PARAMETER FILE============================= ;