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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The logical step beyond yesterday's quartic minibrot is today's quintic minibrot. To explore the Z5+C Mandeloid I had to turn to the MandelbrotN formula, which can calculate Mandeloids of any order. Things go a bit slower because the type=formula is not quite as fast as the type=mandel4, but I doubt that anyone will complain about a calculation time of 14 seconds on a fast computer and maybe a minute or two on a slower unit. Though the parent Mandeloid is of order 5, it has only 4 lobes, which is the exponent of Z minus 1. This is true of Mandeloids of all orders. Today's image is located on a small filament extending from a small minibrot near the large northwest bud of the parent. The extreme magnitude of over 6*1012 requires the mathtolerance entry in the parameter file. I named the image "Quintic Conundrum" though I can see nothing unusually puzzling or punnish about it. The rating of a 6 seems appropriate for an image that required so little effort. The major part of running the included parameter file will be copying it in text format into your Fractint directory and running it as you would any other parameter file. Even this minor task may be eliminated by viewing the completed image on the FOTD web site at: Thursday began with a fog bank hanging overhead, but a warm sun cleared away the mist by 9am and the rest of the day was near perfect, with a temperature of 77F 25C. As is usually the case, the fractal cats paid little attention to the weather, diverting themselves instead with various sorts of mischief, such as over-turning waste baskets and scattering the contents. In my department, the work was mostly finished by mid-afternoon, leaving ample time for the fractal search, not to imply that a major search was necessary to find today's image. The next FOTD will appear in 24 hours. Until then, take care, and before you begin a search for reality, be sure you know what reality looks like. Hint -- it might not be the material universe. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Quintic_Conundrum { ; time=0:00:14.12-SF5 on P4-2000
reset=2004 type=formula formulaname=MandelbrotN
formulafile=slices.frm float=y passes=b maxiter=500
center-mag=-0.8795136125317894/+0.584447614384022/\
6.046e+012/1/-15/0 inside=255 mathtolerance=0.05/1
params=5/0/0/0/0/0 logmap=58 periodicity=10
colors=000HFZHFXHFVHFTHERGDPECNCBL9AF6790040000000\
0zBwz5rz8mw7hr6cm5Zh5Uc4PZ3KU2FP2AK15Fzz3itAZh8N`6\
AT54M3201JzOHuMGpKEkIDfHCbFAYD9TCAOAKJ8UF6cB5m73z3\
1zO5zJ4zE3z92z41nQziNzeLzaJzYHzTFzPDzLAz_pz`ozanmb\
mcblUckKdjFeiDehCfgBgfAhe9hd8ecAcbB`bDZaEWaGU`HR`J\
P_KM_MKZNIZOMXPPVPSTPVRPYPQ`NQcLQfJQiHQlFRoDRrBRu9\
Rx7Rv8Uu9WsAZrA`pBcoCemDhlDjjEmiFogGrfGtdKqbOn`RkZ\
VhXZeVabTe_RiXPlUNpRLtOKwMHpOEiQCcS9XU7RW4KY2EZ4K_\
6P`8V`A_aCebEjbGpcIudKzdLzeMzeMzeNzeOzeOzePzePzeQz\
eRzeRzeSzeSzeXzYazRfzKkzDhzCfzBdzAbz9_z9Yz8Wz7Uz6R\
z6Pz5Nz4Lz3Jz3Gz6Ez8CzA9zC7zE5zG8zIBzKEzMHzOKzPNzR\
QzTTzVWzWZzYaz_dzagzbfz_ezYdzVczTbzQazO`zM_zJZzHYz\
EXzCXzARz8Mz6Gz5Bz34z25z1EzPDzNCzzBzzAzz9zz8zz7zz6\
zz5zz4zz3zz2zz1zzkzzhrzezzbzz_zzXzzUzzRzzOzzLzzIzz\
FzzCzz9zz6zz3zz`zzIzzLzzJzzHzzFzzEzzCzzAzz8zz7zz5z\
z3zz1zzgzz_zzTzzMzzEzz000 }
frm:MandelbrotN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=z^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
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