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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's modest effort takes us back to the warhorse formula, the MandAutoCritInZ. I was away from this formula for so long that I almost forgot how it works. After a few minutes trial and error however, my memory was refreshed, and I found today's image in the fractal that results when various negative portions of Z^(-1.6) and Z^(-6) are combined and (1/C) is added. The parent fractal is a string of four large north-south oriented bays, with today's image located just inland from the western shoreline of the southernmost bay -- the bay with the shoreline that most closely resembles the shoreline of the M-set. The scene lies in a field of scattered and disconnected debris. The character of this debris is reflected in the patterns of today's image. I named the image "Back to Basics" because it is a return to the basic workhorse formula. I rated it at a 6 because I think it's worth no more. The calculation time of 20 seconds is blessedly brief, as is the trip to the FOTD web site at: Saturday here at Fractal Central was on the hot side, but the temperature of 91F 33C was made bearable by a moderate breeze and humidity that was not too high. The fractal cats spent much of the afternoon playing with a few japanese beetles that somehow got inside. After clearing the beetles from FL's roses and giving the plants a good spraying, I had an acceptable day. The next FOTD, good or bad, will be posted in 24 hours. Until then, take care, and if the world is not really out there, then where is it? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Back_to_Basics { ; time=0:00:20.36-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip inside=0
center-mag=+0.3555098124098118/-1.390142792952676/5\
.287551e+009/1/83.5/0 float=y maxiter=500 logmap=46
params=-6/-1.6/-1.6/-6/0/0/0/0 periodicity=10
colors=00000000000000200600820C60EE0CL0AH08P06N24J\
62RA0eC0zKCzcNzkZzvimobXbVERN0EGz2AzPHziNzzm0zczz`\
0zz0xb0od0gdu`0oe6kiHgoVdseZxsVzzRzzNzzRzzVszZizb`\
qeRggH`eH`eJ`eJZeJZeJZeJZdJXdJXdJXdLVdLVdLVbLVbLTb\
LTbLTbNRbNRCz4Rz0ez0ux0zu0zs0zqPzqvzzTmz0szEvzRzzd\
zzqzvzzszmsqNsR0s04o0Cm0Jk0Ri0Ze0ed0mb0s`0X0iV0gT0\
eT6dRHbPT`Pb`NeeNiiLkoLosLsvJuzJxzJzzdsqvk`zeJ0Cz0\
kg0zL0xv0dz0JzGXzbizxvzimgVdRGXAVi8iu6xz4zz2zz0zzJ\
vzbgzuTzzVzzVzzVzuVxoXugXqbXmXXkRZdV`XZbRbdVXeZRg`\
LidHkgCmi6om0qo0xg0zb4zX8ddzZizVmzPqzLuzHzzCzz8zz4\
zzEvzLizVXzbHzk4zs0zg0kZ0TN0AE00G00G00G02G06H4AHAC\
HGGHLHRRJZVJeZLodLvgNzkNzoNzmNzmNzmNzkNzkNzkNzkNzi\
NziNziNzgNzgNzgNzgNzeNzeNzePxdPxdPvdPvdPvbPubPubPs\
`Ps`Ps`Pq`PqZPqZPoZPoXPmXPmXPmXPkVPkVPiVPiTPiTPgTP\
gTPeRPeRPeRPdPPdPPbPPbPPbNP`NP`NP2zz4xz6vz6uz8uzAs\
zAqzzz4quEb`LNGT0RE0HA0A4 }
frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================
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times.
