; Date: Tue, 17 May 2005 11:35:49 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-05-05 (Miracle [9]) ; Id: <1.5.4.16.20050517113713.0d6f37bc@pop.mindspring.com> ; --------- ; ; FOTD -- May 17, 2005 (Rating 9) ; ; Fractal visionaries and enthusiasts: ; ; In the past I have several times been asked if I believe in ; miracles. The answer depends on the definition of the word ; 'miracle'. If a miracle is seen as a violation of natural laws ; brought about by the intervention of a supernatural deity, then ; I do not believe in miracles. True, many things take place that ; defy natural explanation, but these events are merely things ; that are not yet understood. They ultimately will be explained ; and then be seen to fit into the natural scheme of things, which ; will expand to include them. ; ; If a miracle is taken to be an event so unlikely as to be almost ; impossible, then yes, I do believe in miracles. People who ; desperately need money sometimes do win lotteries. A miracle of ; the latter variety appears in today's image. ; ; On the surface, the parent fractal of today's image is a Mandel- ; brot set. But the exponent of Z is 2.000001 instead of 2, which ; means it is not exactly a Mandelbrot set, but merely a very ; close approximation. One must search deep to find the tiny ; differences, but when they are found, they are so unexpected as ; to be a virtual miracle. ; ; Today's image lies deep in East Valley of the large midget on ; the main stem of the almost-M-set. It is so unlike anything in ; the true M-set that it must be considered a miracle, which is ; why I named it "The Miracle". The rating of a 9 may in fact be ; a bit conservative, but I am very hesitant about giving today's ; fractal a rating of 10, especially when I have not yet taken ; today's line of investigation to its limit, and do not yet know ; what I might find when I do. ; ; I could have used the manzpower formula to draw today's image, ; but that formula takes 12-1/2 minutes to finish the rendering. ; The MandelbrotN formula finishes in only 9 minutes, so this is ; the formula I used. Of course, rendering may be totally avoided ; by downloading the finished image from Paul's FOTD web site at: ; ; ; ; The fractal cats were happy on Monday when the sun shone and the ; temperature reached 72F 22C. This morning is starting cooler ; with a mixture of sun and clouds. Hopefully, the duo will be ; happy again. I'll be happy when the work is behind me. Until ; next FOTD, take care, and where will we go from here. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= The_Miracle { ; time=0:09:05.32--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74985154197874100/+0.000004742589482\ 00/1.061936e+008/1/-162.5/-4.55138188755477291e-007 params=2.000001/0/0/0/0/0 float=y maxiter=2400 inside=0 logmap=325 periodicity=10 colors=000eKndKmcKlbKkaKj`Ki_KhZKgYKfXKeWKdVKcUKbT\ KaSK`RI_QGYO9WMFUKLS4Q31X06a0Af0Dl0Ip4Mu9PzDTzIXzM\ azJfsIllGpcDvXCzPAvLDsIFpFGlAJi7Lf4Mc1OX7JQDGLJCDP\ 97V41`1CTAMOIXIP`LMcOJfQGjTDmXAp_9mf6jm4gs3dz1az0O\ fLAIc9Pf7Vg7`i6gj4ml4sm7v`AyODzAFz070zF0rL0jS0cY0V\ d0Oj0Gp09u0Jx0Tz0csAXmOPg`IaoAXz3Qz0`zAiyPrrazjpzc\ zfgoFl`PVP_DDi03c6CYFJSOQMVYGcdAll4us0zzIos`alsPfr\ LdpIdpFdoCdo9dUUUcccmmmzzzzzzzzzzzzzvzzszzpzzmxzju\ zgrzdoz_mzTmzOmxIlsClp6lm1lo0mo0op0pp0rr0sr0ur0uj3\ jcJaXYTSVSOSQJPPFMOCLOLIQTGS`DTiCVr9Xy7YoDQdJLXPDM\ V7C`03d0LzzCzg3zITdzOgzJjpFmc9oS4rF0u3MO0D_04j0_00\ T40PC0JL0FSOA_F4g70o0mXzf`r_ciTf`MiSFmI9p91s0Lr9Gs\ 6Ds39u06u01v00v04_LlOG0Az0Qf0fGpSOa`FOg79o0Cgz3oTv\ Xmfc_QiLAp60zI0zD0z90z40y00y0VzOQzJMzFKzAPz7Uz3Zz0\ cz0hz6kz3nz1qz0tz0wz0zz0zzLzzFzzAzz6zz0zz0zzQzzQzz\ Qzz9zzZzzOzz7zzCzz9zz6zz3 } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } ; END PARAMETER FILE========================================= ; ;