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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: In today's short discussion I will not wax philosophical, nor will I wax political. I will wax fractal. After all, we're here because we enjoy fractals, and not to give our opinions of world events. Today's quickie shows a midget that is located on a surprisingly long and straight filament extending from the main body of the Z^1.314159...+C Mandeloid when this fractal is calculated 62 levels up the logarithmic spiral. I rated the image at a 7, mostly because of the striking colors, which I found almost totally by chance. I named the image "Pi in Sight". A closer examination of the exponent of Z will reveal the reason for the name. The parent fractal appears to hold several other interesting areas. If I find the time, I will do further investigating and present anything of interest I might find as a future FOTD. When the render time of 23 minutes is factored into the rating system, the overall value equals a 31. That value can be made higher by downloading the completed image from: Another in an unending string of near perfect 84F 29C days gave the fractal cats little to complain about on Wednesday. I could complain a bit about the work that is yet to be done -- but I won't. Hopefully, what I will do is return in 24 hours or so with the next FOTD. Until then, take care, and are fractals necessary for life? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Pi_in_Sight { ; time=0:22:55.28--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC2 passes=1 center-mag=+7.0\
092422286503/+5.547921277829/9.579319e+008/1/15/1.\
92347512060556114e-005 params=1.314159265358979/0/\
62.85/0 float=y maxiter=120000 inside=0 logmap=63
periodicity=10 colors=0004004005105205305405505608\
71B81D91GA1JB1MC1PD1SC1VA1Y91`81c71e61g51i41k31m84\
oD6qI9sMBuREwWGt`IqdLniNknQZsSUwUUpRUjOWfIYbD_bFab\
HcbIebKgbLibNkbOmbQobRqbTsbUu_awYhygbwfctbCfYEfbF`\
aDW`BR_9MZ7HY5CX4GV9JUDNTIQSMURQXPV`OZcNcgMgjLkbMf\
VMaOMXGMS9MO8KR8JT7IW7HY6G_6Fb5Ed5Df5Ci4Bk4An39p38\
r27u26w25y39w4Du5Gs6Kq7No8Rm9UkAYiBagCdeDhcEkaFo_G\
rYHvWIyUKxTMwSOvRQuQStPUsOWrNYqM_pLaoKcnJemIglHikG\
kjFliELdCHSJDFQ93WDAUGGSJMQNSOQYMTcKXiI_oGbuEckDdb\
CeTBeKAhLGjLMlMSnMYpNcrNhmOeiOceOe`OhXOkTOnOOqKOtG\
OwcEzz5zx8zwBzvEzuGxtJzsMzrOzlRzfTzaVzWXzR_zLazGcz\
Aez5gz8czB`zEXzHUzKQzNNzQJzTGzWCzZ9za6z`5z_5zZ5z`7\
za8zb9zcAzeCzfDzgEzhFzjHzkIzlJzmKzlMzlNzkOzkPzjQza\
ZzjRzjTziUziVzhWzhXzKezMdzOczQczSbzUazWazY`z_`za_z\
cZzeZzgYz6czAbzEazHazL`zO`zS_zV_zZZzaZzeYzCKzGMzKO\
zNPzRRzVSz6Az29z3Az3Bz3Cz3Cz3Dz4Ez4Fz4Fz }
frm:MandelbrotBC2 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*floor(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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