; Date: Thu, 26 Feb 2004 08:42:01 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 26-02-04 (Spectral Bud [4]) ; Id: <1.5.4.16.20040226084445.2a7fd508@pop.mindspring.com> ; --------- ; ; FOTD -- February 26, 2004 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; I'm busy again today, so the discussion will once again have to ; be brief. ; ; Today's trip takes us into the depths of the Mandelbrot set, to ; a fine spiral and the ghost of a bud. ; ; Images such as today's are what sparked my interest in the four- ; dimensional aspect of fractals. When I began exploring the ; perturbed M-sets, I found it puzzling that the low-iteration ; features should change so quickly when the starting point of Z ; is changed, while the high-iteration features, such as the ; background buds, remain unchanged. ; ; After a bit of thought, I realized that regardless of where the ; points start, if they do not escape first, they will eventually ; settle into the same orbits as the points that start at zero. ; In today's image, the foreground spiral consists of the low- ; iteration points that have escaped before settling into the ; conventional M-set orbits, while the background bud consists ; of the high-iteration points that have endured many iterations ; and found the time to settle into the M-set orbits. ; ; I named today's image "Spectral Bud", which is a recognition ; of the ghostly nature of the background bud. ; ; Pictures such as today's can be given a striking three- ; dimensional appearance by using the 'ranges' feature of ; Fractint, though I lacked the time to use this feature on ; today's image. ; ; I could honestly rate today's image no higher than a 4. When ; the render time of 2-1/2 minutes is considered, the overall ; value comes in at 152. The image may be seen either by running ; the included parameter file, or by downloading the completed ; image from: ; ; ; ; The weather was pleasant here at Fractal Central on Wednesday, ; though it was a bit chilly. The temperature of 43F 6C was ; tempered greatly by a warm sun, which made the cats' two hours ; in the yard a pleasant experience. When the day ended, they ; settled for the evening without complaint. Today is starting ; similarly. ; ; For me, things are a bit more settled today, but still ; relatively busy. If all goes well, I'll finish in time to find ; a top-rated fractal. If not, I'll find a medium-rated fractal. ; Until next time, take care, and find only good fractals. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Spectral_Bud { ; time= 0:02:38.35--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-0.23028521918996140/+0.644699549704085\ 40/1847.458/1/-5/-3.77822773067748585e-014 params=0.3991/-0.6312 float=y maxiter=100000 bailout=9 inside=0 logmap=49 periodicity=10 colors=000LKULKULKULKUKKUKKUKKUKKUKKUJKUJKUJKUJKUI\ KUIKUIKVIKVHKVHKVHKVHKVGKVGKVGKVGKVHKVGKVGKVGKVGKV\ GKVGKWGKWGKWFKWFKWFKWFKWFKWFKWFKWFKWFKWEKWEKWEKWEK\ WEKXEKXEKXEKXEKXDKXDKXDKXDKXDKXDKXDKXDKXCKXCKXCKXD\ KYDKYDKYDKYDKYDKYCKYCKYCKYCKYCKYCKYCKYCKYBKYCKYDKZ\ DKZEKZEKZEKZFKZFKZFKZFKZGKZGKZGKZHKZHKZHKZHKZJKYJJ\ YJJYKJYKJYKIYKIYLIYLHYLHYMHYMHYMGYMGZNG_NG`OF`PFaP\ FbPEcPEdQEeQEeRDfRDgRDhRDiRCiSCjSCkSBlTBmUBmUBmUAm\ VAmVAmVAmW9mW9mW9mW8mX8mX8mX8mY7mY7mY7mX6mY7mZ8mZ9\ m_Am_Bm`Cm`DmaEmbFobGqcGscHudIwdJxeKyeLzfMzgNzgOzh\ PzhPziQziRzjSzkTzkUzlVzlWzmXzmYznYznZznZzkwzkwzlwz\ lwzmwzmwznwzowznwznwznwznwznwznwzmwzmwzmwzmwzmwzmw\ zlwzlwzlwzlwzlwzlwzkwzkwzkwzkwzkwzkwzlwzkwzjwzjwzi\ wzhwzhwzgwzgwzfwzewzewzdwzdwzcwzbwzbwzawz`wz`wz_wz\ _wzZwzYwzYwzXwzXwzWwzVwzVwzUwzUwzTwzSwzSwzRwzQwzQw\ zPwzPwzOwzNwzNwzMwzMwzLwz } ; END PARAMETER FILE========================================= ;