|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: Today's image is a scene in the fractal world that results when various portions of Z^(-0.8) and Z^(1.4) are combined and (1/C) is added. I say the fractal world because the formula does not produce a single fractal. It produces an entire world of smaller individual fractals. Though the number of tiny fractals in today's world is infinite, there are two main Mandeloid fractals, surounded by considerable debris. Today's scene is near the point where the sprawling debris surrounding the large Mandeloid on the left bleeds into the Mandeloid on the right, which is surrounded by less fractal debris. To add a little extra sparkle to the image, I rendered it with the outside set to 'real'. The additional sparkle was enough to raise its rating to a respectable 6. When the render time of near 7-1/2 minutes is figured in, the overall worth registers an 81. The name I gave today's FOTD is "Eighteen", a name that has no relation whatsoever to the image. I chose the name because I was in an ambiguous mood at the time. The small task of rendering the image from the included parameter file may be avoided by downloading the finished GIF image from the FOTD web site at: Due to another of those unexpected-work rushes, I have no time to philosophize today. But the philosophy will return, more intense than ever, in the philofractal version of tomorrow's FOTD discussion. The high temperature of 48F 9C and total lack of sun here at Fractal Central on Thursday made it a bit too chilly for the fractal duo to fully enjoy their time outdoors. They came inside in bad moods after only an hour in the yard, and demanded extra tuna, which, knowing the alternative, I gave them at once. The tuna did the trick, and they settled down side by side on the couch for a long nap. Today is starting cloudy again, but it is supposed to turn sunny and warmer by afternoon. (I'll believe it when I see it.) While waiting for the sun to appear, I'll finish the small bit of work waiting to be done, then set out for fractal land to see what lies there. The next FOTD will appear in 24 hours. Until then, take care, and be stoical. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Eighteen { ; time=0:07:25.50--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.15309530048864980/+0.263094172672526\
40/3164517/1/-152.5/1.98736362089224627e-009
params=1.1/-0.8/-0.7/1.4/0/0 float=y maxiter=1000
inside=0 outside=real periodicity=10
colors=000mPVmPZkNbkNfiNkiNmmPioPfsPeuPbyPZzPXzPVz\
PTzPPzPNzPKzPIzPEzPCzPAzP8zmCzmEzmGzmEzmEzmCzmCwmA\
miAe`AXT8NK8EC664600400400400600800A02C08E0CG0II0P\
K0TN0ZP0bR0eT0fT0fT0iV0iV0kV0kV0mX0mX0oX0oZ0qZ0qZ0\
sZ0s`0u`0u`0wb0wb0yb0ybGk`ZX`oK`z6`z0`z0`z0Xz0Vz0T\
z0Rz2Pz6NzAKzEIzIEzNCzRAzV8zZ6zb4zf2zk0zo0zs0zw0zz\
0zz0zz0zz0zz0I40K60K60K60K60K60K80K80K80N80N80N80N\
A0NA0NA0NA0NA0NA0V6C`DiZEkXFmVGmTHoTIoRJqPKrNMtKOu\
KQvISwGUyEWyCYzC_zAaz8cz6ez4gz4iz8kzAmwCkuEksIiqKi\
oNimPfkRfiVegXeeZbc`babb_f`Xi`PkZKmZAoZ0mX0kV0iV0f\
T0eT0bR0`R2ZP2XN4VN4TK4TK2PI2KI2GG2CE08E06C04C02A0\
0A20840864EAAICGNEKRGTVI`ZKfbNofPwiRzkRzmRzoRzqRzs\
RzuRzwRzzRzwVzsXzoZzk`qfeibfZZiRZk`boiesqiuymyzqzz\
uzzzzzzzzzzzzzzzzzzzzzyzzwzzszzozzkzzfzzezy`ywXuuT\
sqRoqNkoIimEemA`m8Zm4Vo0Ro0Po0Tk2Vi8XeG`bNbZTeX`iT\
fwT0uT2uT6sRAsREqRIqRNoPR }
frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
|
times.
