FOTD -- August 15, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image is named "Antibifurcation" because it shows the scene of the horrendous crime of antibifurcation, where, in total violation of the laws of fractal math, the number of elements around the center shrinks to a tiny fraction of its value instead of steadily doubling as the laws of fractal math state it must do. But actually, there is no crime at all. The image shows a minibrot in the basin of attraction of a larger but still infinitesimal minibrot lying near the limit of the main spike of the Mandelbrot set, which is (-2). When a minibrot lies in the basin of a larger minibrot, this antibifurcation always happens. By contrast, minibrots in the basin of the M-set itself continue bifurcating in the normal manner, with no setbacks, until reaching the limit of infinity at the edge of the M-set. The curving tentacles in the image are caused by the closeness of the scene to the cutoff point of 2. Why the tentacles curve and twist in such an unlikely manner is known only to the gods of mathematics, and since I am not one of that exalted group, I have no idea why the image appears as it does. All I can do is apply colors to the forms that were already there. The rating of an 8-1/2 is held down because such scenes are quite common in the world of fractals. I added a half-point bonus for the coloring work I put into the image, but even this seems a bit liberal. The calculation time of 23-1/3 minutes is slow, but still reasonable for an image with a magnitude of almost 10^58. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original classic site may be accessed at: <http://www.Nahee.com/FOTD/> Heavy clouds and light rain spoiled Monday here at Fractal Central. The fractal cats approved of the temperature of 73F 23C even though to the humans it felt unusually chilly for mid- August. The next FOTD will be posted in 24 hours. Until then, take care, and I once had faith in science, but now I'm not so sure. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Antibifurcation { ; time=0:23:20.93-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.9999\ 99999999996712761384990600054608875639729347944959\ 1259627/0.0/8.5933e+057 params=0/0 float=y inside=0 maxiter=7500 bailout=4 symmetry=xaxis periodicity=6 colors=000SqdTocUlaWj`XhZZeY_cW``VbZTcWSdUQfSPgPNi\ NMjKKkIJmFHnDGoBFdLGVVHLdIBnJ1xK2sI3oH4jG5fF6aD7YC\ 8TB9PAAK8BG7CB6D75E34G47I4AK4DM4GN4JP4MR4PT4SU4VW4\ YY4`_4c`4fb4id4lf4og4qg6pg7og8og9ngBngCmgDlgElgGkg\ HkgIjgJigKigMhgNhgOggPfgRfgSegTegUdgVdfUefTefSefRe\ fQefPffOffNfeMfeLfeKgeJgeIgeHgeGgeGgfHhfIhgJigKihK\ jhLjiMkiNkjNkjOlkPlkQmlRmlRnmSnmTonUonUolTpkSqiRqh\ QrfPsePscOtbNu`Mu_LvYKwXKwZOr_Rm`UhaYcb`ZdcUegPfjK\ gmFhpAdn9am8Zl7Vj6Si5Ph4Lf3Ie2Fd1Cc0`4Ec8eaCc`Ga_J\ `ZNZYQYJRh5Ss6Vp7Xm8Zj9`g9bdAeaBgZCiXDkUDmREpOFrLG\ tIHvFHxD61H90FB7DETBEU9Jk7ds6PkCTcIXVOWNUSLULLVMLV\ NLVNKlOKtOKmPKpPJzQJtRJzRJvSIrSImTIhUIcXHZUHVVHVVH\ VWHVzK5yI6xG7wE8vD9uC9tCAsCBrCCqCCoDDmDElDFkDFjDGi\ EHhEIgEIfEJeEKdFLcFMbFM`FNZFOWGPUGPTGQSGRRGSQHSPHT\ OHUNHVlqIkpJkoJjnJjmKjlKikKijLhjLhiLhhMggMgfMfeMfd\ NfdNecNebOdaOd`Od_PcZPQtf } END PARAMETER FILE=========================================