; Date: Tue, 08 Oct 2002 09:36:09 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 08-10-02 (Fractal Vines [5]) ; Id: <1.5.4.16.20021008093736.0db725d4@pop.mindspring.com> ; --------- ; FOTD -- October 08, 2002 (Rating 5) ; ; Fractal visionaries and enthusiasts: ; ; Today's quickly-found fractal is a simple thing. With the ; MandelbrotBC1 formula I calculated the Z^(3.01)+C Mandeloid and ; examined the area of the negative X-axis where the western ; 'Seahorse' valley is beginning to split. I really had no need ; for the M-BC1 formula, since I could have done the same thing ; with Fractint's built-in manzpower formula. The resulting ; figure would not have been exactly the same, but the character- ; istics of the midgets in the area would have been similar. ; ; As I studied the image, I fancied myself looking down through a ; jungle of fractal material, toward a cubic midget on the forest ; floor. I considered naming the image "Fractal Jungle", but the ; name seemed so obvious that I finally decided on "Fractal ; Vines". And the name is not too far off the mark. The tangles ; and loops do resemble vines hanging from trees. Unfortunately, ; the end result is once again only of average fractal quality, ; and I could rate it no higher than a 5. ; ; While working with fractals, I like to consider the outside ; parts as material and the inside as empty space, which is why I ; usually color the inside parts of my fractals a dead black. ; This viewpoint has become my basic fractal world-view. Surpris- ; ingly, such a view is not too far removed from what is commonly ; known as the 'real' world-view, in which a vast empty space is ; seen as filled with tiny islands of material known as stars, ; planets, etc., all of which, for convenience, is granted an ; attribute known as objective reality. And the more one studies ; the current theories of physics, such as super-strings and super- ; symmetry, the more one realizes that the 'real' world appears to ; be made of numbers. ; ; Why, I wonder, can't the world of fractals also be considered ; 'real'. It also is made of numbers; it has its empty spaces and ; its clumps of 'material'. As the 'real' world needs the human ; senses to make itself manifest, the fractal world needs compu- ; ters to make itself manifest. Are the two worlds as different ; as they seem? Would it truly be so surprising if, when the much ; publicized 'theory of everything' is finally found, (if it is ; ever found), it turns out to be a fractal? ; ; If all this speculation seems confusing, relief may be found in ; 5 minutes by rendering the parameter file and watching the ; festooned vines come into existence, remembering of course that ; they are vines only because I have declared them to be vines. ; ; A quicker, simpler method of viewing the image is to visit ; Paul's web site at: ; ; ; ; and download the completed GIF image from there. ; ; On Monday, Scott's site got its script signals crossed, but I ; assume his site is up and running today at: ; ; ; ; The image may also be downloaded from there. ; ; Except for a brief period of cloudiness in the afternoon, the ; fractal weather Monday here at Fractal Central was ideal. The ; fractal duo would rather have had more sun, but the temperature ; of 77F 25C was good enough to keep them in a good humor. ; ; Today promises to be a near-perfect repeat, so the dynamic duo ; should stay happy most all day. My own happiness will come when ; I finish a bit of work that seems to always appear when I expect ; a slow day. Until 24 hours or so from now, take care, and think ; for yourself. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE================================ Fractal_Vines { ; time=0:05:12.42--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.39266886419176980/-0.005167114994956\ 72/8354133 params=3.01/0/0/0 float=y maxiter=2700 inside=0 logmap=152 periodicity=10 colors=0007KE3M98QECUJHYOL`TQdYUhbXokYkgYhdZeaZbZ_\ _V_XS`UP`RMaOJaLFbICbF9cC6e60c93bC5aF8_IAZLCYOFXRH\ VUKSVMT_OSbRQeTPhWOkYNn_KmXImUFmSDmP1kXBmNLoDVp3Ud\ FTTQSH`S6kU9iWChXFgZIf_LeaOdbRcdUbfXag_`ib_jeZlhYm\ lXonWpsVZihIbuETmBKf7A_41T8CXCN`GXdKghMvrNqlOmfPia\ PeWQaQRYLSUFVP9SQAQQANRALRAIRAGSBDSBBTB8RB4U86TB8T\ DASGCSIESKGRNIRPQZDKRREHgFJdFKbFL`FMZFNXFPUFQSFRQF\ SOFTMFUKGXJGZJH`IHbIIdHIfHKkGIhHGeHEbHC_HAXH8UH7RH\ BVHFYHIaHMdHQhHTkHXoH_rHVaUQMeK5sL6qM6oN6nO7lP7kQ7\ iR7gS8fT8dU8cV8a7MB3LBTb`YchbdrYT`THKO63RC4TH4VM4Y\ S4_X4aa5dg5fl5hq5jv5gt6ds7aq8Zp9Xo9UmARlBOjCLiDJhD\ GfEDeFAcG7bH5aH6_I7YI8WJ9UJATKBRKCPLDNLEMMFKMGINHG\ NHFNKLKMRIOXFQbDShAUn8Wt5Yy3Uz8QzCNzGJzLFzPCzT8zY4\ za1zeLzfdzgwzgwz`wzVwzPtzNrzMpzLmzKkzJizHgzGdzFbzE\ `zDXzDZzC`zCbzCdzCfzBhzBjzBlzBnzApzArzAtzAvzAozQhz\ dfzyazsYzmTzgPzaKzWGzQBzK } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|