; Date: Sun, 19 Oct 2003 09:04:36 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-11-98 (The Omega Point) ; Id: <1.5.4.16.20031019090538.2cdfc530@pop.mindspring.com> ; --------- ; ; FOTD November 17, 1998 (The Omega Point) ; ; Fractal visionaries: ; ; The weather today was so dull that I can barely remember it. Oh ; yes, it was partly cloudy with a temperature of 60F 15.5C and a ; south wind at 12kph. Regardless, it was a perfect day for ; scrounging in fractal land for that one perfect fractal that ; might exist among the infinity of infinities of fractals that ; might exist. Unfortunately, tonight has become totally cloudy, ; and the meteor storm, if it happens, (which I doubt), will be ; invisible from fractal central. But I'll be up around 5am just ; in case a hole opens in the clouds and the meteors are there. ; ; The fractal I found was created by the next in my series of 12 ; MandNewt formulas, MandNewt10. This formula, as well as ; numbers 11 and 12, has six variable parameters. Since the six ; parameters are limited to real numbers, the resulting fractals ; always have X-axis symmetry. In some cases, the extra variable ; parameters are redundant, simply increasing or decreasing the ; values of other parameters, but overall the result is totally ; unpredictable, which is the way I like my fractals. ; ; I named the picture "The Omega Point" because as I studied it, I ; wondered if there could possibly be a last fractal. Actually, ; that's the way I name most of my fractal pictures -- I stare at ; them until a name comes into my head. The picture is a lot like ; my "Fractoland" picture of several days ago, though I'm not ; blaming this one on Dr. J. ; ; The picture has vague buds half obscured by bits and pieces of ; ectoplasmic fractal material, and areas of chaos offset by ; organized areas of quasi-order. But this image has at least a ; hint of order amid the most chaotic disorder. The spiral ; occupying most of the top third has no corresponding feature in ; the earlier picture. This spiral reminds me somewhat of the ; images produced by the Barnsley formulas. ; ; The GIF file has been posted to: ; ; ; ; And now I suspect that the honorable thing to do would be to ; wrap this up and see if I can get it posted. Until next time, ; when I shall likely be a bit more settled, take care, and ; remember that no matter how far you search, you will never find ; the last fractal. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE============================ The_Omega_Point { ; 16 min on a P200, 640x480x256 reset=1960 type=formula formulafile=mandnewt.frm formulaname=MandNewt10 passes=1 center-mag=-0.7352\ 27/1.28731/1.153329/1/-75/-2.50563458870090017e-014 params=3.524/1.979/-3.263/1.769/0.733/0.736 float=y maxiter=12000 inside=0 logmap=yes periodicity=0 colors=000HELHEMGDNGDOFDPHFRFDPE7ODANC9MB8LABPEATI\ 9XMCWLi_KmZJlYIjXHiWGhVFfUDeSCcRBbQAaP9_O8ZNAYODXP\ FWQHVQKVRMUSOTTQSUTRVVQWXPW_OXaNYcMZfM_hL`jK`lJaoI\ bqHcsHctIdtIdtJetJetJetJetKfuKfuKfuKfuLguLguLguMhu\ MhuMhuMhuNiuNivNivNivOjvOjvOjvOjvPkvPkvPkvQlvQlvQl\ wQlwRmwRmwRmwRmwSnwSnwSnxRmxRlxRlxRkxRkxRjxRjxRixR\ hxRhxRgxRgyRfyRfyReyRdyRdyRcyRcyRbyRbyRayR`yR`yR_y\ R_yRZyRYyRYyRXyRXyRWyRWyRVyRUyRUzRTzRTzRSzRSzRRzRQ\ zRQzRPzRPzROzROzRNzRMyQLyQLyRLyRLySMySMyTMyTMyTMyU\ MyUMyVNyVNyVNyWNyWNzXNzXNzYOzYOzYOzZOzZOz_Oz_Oz`Pz\ `Pz`PzaPzaPzbPzbPzcQzcQzcQzdQzdQzeQzeQzeQzfRzfRzgR\ zgRzhRzhRzhRziSziSzjSzjSzkSzkSzkSzlTzlTzmTzmTzmTzn\ TznTzoUzoUzpUzpUvqQqrNlsJfsFatCXu8Sv4Mu1Nu1Nu1Ov2P\ v2Pv3Qv3Rv4Rv5Sw5Tw6Tw6Uw7Vw8Vx8Wx9Xx9XxAYxAZyBZyC\ _yC_yD`yDayEazEbzFczGczGdzHezHezIfzJgzJgzKhzKizLiz\ LjzMjzMkzNlzOlzOmzPnzPozQ } frm:MandNewt10 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-b)*z-g j=c*z^d+g z=z-e*h/j, f <= |h| } ; END PARAMETER FILE============================== ;