FOTD -- January 01, 2003 (Rating 7) Fractal visionaries and enthusiasts: It's a new year here at Fractal Central, and we start it off with a sudden switch to an optimistic outlook and a trip to the Z^(sqrt(2))*(0.6(C))+C fractal to find an image that rates a 7. The parent fractal was drawn by the JimsCompMand formula, which is simply a generalization of the cmplxmarksmand formula of Fractint. The strange little midget in the image lies in the East Valley area of the largest midget on the main stem of the Z^(1.4142)+C Mandeloid. Yes, I can already hear the voices telling me that the Z*(1.4142)+C Mandeloid has no main stem, that the stem vanishes as the exponent of Z is dropped to a value less than 2. This is true, but the parent Mandeloid of today's image is not exactly the Z*(1.4142)+C figure. In the JimsCompMand formula, Z^(1.4142) was multiplied by 0.6(C) before (C) was added. This multiplication causes the fractal to split apart along the negative X-axis, and this splitting causes the non-existent negative stem to emerge from never-land into the world of fractal reality, where it can be examined as though it had never vanished. The prominent midget is still there on the revealed stem, grossly distorted of course, with its East Valley still easily recognizable. The stem itself still zig-zags down into the center of the valley, and it still has midgets strung along it, though at such a low power of Z, the midgets are rather difficult to pick out along the zig-zagging and branching stem filament. Today's scene lies quite deep, so deep in fact that it actually shows signs of breaking up, and needed the mathtolerance reset to /1 to reach the magnitude. I have included the mathtolerance setting in the parameter file so that the image will draw at the correct magnitude at all resolutions. I named the image "Broken Symmetry" because of the spectacular discontinuity that, along with the coloring, spoils (or makes) it. This is the one of the greatest degrees of disorder that I have yet come upon, though undoubtedly an infinity of midgets with even more disorder do exist and are waiting to be found. The 13-minute render time is a bit trying, and may be avoided by visiting Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> and downloading the completely rendered image from there. The weather was much improved Tuesday here at F.C., with mostly sunny skies, light breezes, and a temperature of 55F 13C. The small amount of dampness remaining in the yard did not deter the dynamic ones from enjoying a 2-hour romp, which helped their moods immensely. In fact, they ended the day in such a pleasant mood that they were satisfied with their normal diet. But today is rainy, and I doubt that their pleasant moods can weather the storm. Check tomorrow to see how they make out. As for me, I'll probably do little more than watch football on the TV. Until next FOTD, take care, and here we go again with another whole year to get through. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Broken_Symmetry { ; time=0:13:24.99--SF5 on a P200 reset=2002 type=formula formulafile=jim.frm formulaname=JimsCompMand passes=1 mathtolerance=/1 center-mag=-1.36389419716712900/+0.671782211838532\ 70/1.326342e+013/1/102.501354055520352/3.885780586\ 18804789e-016 params=1.4142/0/0.6/0/0/0 float=y maxiter=5400 inside=0 logmap=285 periodicity=10 colors=000DaZEc`FebGgdHifIkhJmjKolLqnMrpNvrOztTmmY\ fga_afTVkMPoGJpIIpKIpMHpOHpQHpSGpUGpWFpYFpZFl`HibJ\ edKbfMZhOWiPTkRPmTMoUIqWFsYCtZGhSKYLOMESB7W01Z57aA\ DdFJgJPjOVmT`pYfsakp_imZgjXfhWdeUbbTa_R_YQYVOXSNVQ\ MUOMWMMXLMZJM_IMaGMbEMcDMeBMfAMh8Mi7MjDHbJCWP7OV3H\ R8JNDKKILGNMCSN9XO5aP2eQ4gT6iW7jY9l`AmbCoeEqhFrjHt\ mIuoOI`QJaSKaULbVMbXNbZOc`PcaQdcRdeSdgTehUejVflWfm\ XfQX1PW2PW3OV4OV4NU5NU6MT7MT7SQBXOEaMHfKKkINpGQuET\ tCWsBYr9_q8ap7do5fn4hn3jh8mbCoXGrRKtMOvOQsPSqQUnRW\ lSXjTZgU`eWbbXd`YeZZgW_iU`kRamPbnNVeHNYBFQ57I08J69\ KCAKHBLNCLTDMYEMcFNiFNnKOkOPhSQfWQc_RadSZhSWlTUpUR\ tUPrTNqSMpRLnQJmPIlPHjOFiNEhMDfLBeLAdK9bJ7aI6`H5_H\ 4YG6XF8VEAUDBWCDYBF_AGa9Ic8Ke7Mg6Ni5Pk4Rm4So7PqIXt\ TYwc_zcazcczaez_gzYizYkzYmzYozYpzXqzXrzXszXtzXuzXv\ zXwzXxzUyzVzzVzzVzzVzzVzzVzzjzzizzhzzgzzgzzfzzezzd\ zzdzzczzbzzbzzazz`zz7zz7z } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^p2)+c, |z| <= p3+100 } END 20.0 PAR-FORMULA FILE==================================