FOTD -- March 14, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's image is as far as we can go into the center of the Hyper-Mandelbrot thing that appeared as yesterday's FOTD. Even at the incredible magnitude of almost 2*(10^14) there is no end in sight to the bottomless pit, which appears to go on to infini- tesimal infinity, with new scenery all along the way. The math- tolerance entry in the parameter file is necessary to assure that the image calculates at the extreme magnitude, which is actually a little beyond the limit of full definition. I named the image "Beyond all Limits" because there appears to be no end in sight. Then I gave it a rating of a 5. It's hard to give a higher rating to the third consecutive view of the same object. The calculation time of 3-2/3 minutes is easy to live with, as is the trip to enjoy the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A rather pleasant but slightly chilly late winter day prevailed here at Fractal Central on Friday. The fractal cats enthusiasti- cally approved the brilliant warm sunlight that flooded their window shelf all afternoon, while I interrupted my work several times to also enjoy the cheerful show. Unless some weekend distraction, such as an antiquing trip, arises, I'll post the next FOTD in 24 hours. Until then, take care, and what will we turn to when we outgrow science? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Beyond_all_Limits { ; time=0:03:41.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=HyperMandelbrot2 center-mag=+0.2527592\ 487851626/-0.0002262879051008/1.578045e+014/1/-87/0 params=0/0/0/0/-4.085/0/1e-015/0 float=y inside=0 maxiter=2400 logmap=1319 periodicity=0 mathtolerance=0.05/1 colors=0009iZAgWBdSCaPDYLEVIFSEGPBHN7HL4GK7FKAELDD\ MGCNJBOMAQP9RS8SV7TY6U`5Vc4We8Z_C`VGcQKeKOhFRjAQlD\ PnGOoJNqMMsPMtSOuRPuQRuQSuPUvOVvOXvNYvM_wM`wLbwKcw\ KPQnIANCBO6CPADQEGRHISIKTJMUKOVLQWDSX5VY6Y_6``6ca6\ fX7iS7lN7oI7qEBoFFlGJhHNcIRZJVUJZPKbKLfFMjANn5Or1O\ q2Mp3Lo3Ko4In4Hm5Gl5El6Dk6Cj7Ai79i88h86g95g94iG5kN\ 5lT6n_6oe7ql7rr7giIY`SNSbDJl3BvSnEZoCeqBls9rt8TkC3\ bFDaJN`NWaRe`Vo_ZsaXucUwdLyfCzh4ze3za2zY1zT0xPHsJI\ jKKhILzzMSJOVHPZFQaDSeBTh9Ul7Wo5Xs3Yv1Zw2_w3`w3aw4\ bx4cx5dx5dx6ex7fy7gy8hy8iy9jy9jqDijHhcLgXOgVQhTShR\ ViPXjNZkL`lJbmHdnFfoDhoSRue9zdCwcFubIsaLq`Oo_RmZUj\ YXhX_fWbdVebUh`UkZPaXLSWGIVC8UF7VH7WJ7WL6XO6YQ6YS6\ ZU5_W5_Z5``4ab4ad4bf4bTNNFd8IXKLQzOczRBz0gH4hG8hGB\ iGFiGJjGMjGQkFTkFXlF`lFcmFgmFjmFcXyZasUemPihKnbFrX\ BvSAzUAzWmzXzzZzz_zzazzbzzdzzezzgzzhzzjzzkzzmzznzz\ lzzjzzhzzgzzfzzezzezzdzzc } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================