[Fractint] FOTD 13-07-08 (Back to Basics [6])

13 Jul 2008

      FOTD -- July 13, 2008 (Rating 6)

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:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

to view the pre-calculated image there.  But due to the unusual 
hour of this posting, give Paul a chance to get the image up.

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 some-
how 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 params=-6/-1.6/-1.6/-6/0/0/\
  0/0 float=y maxiter=500 logmap=46 periodicity=10
  colors=00000000000000200600820C60EE0CL0AH08P06N24J\
  62RA0eC0zKCzcNzkZzvimobXbVERN0EGz2AzPHziNzzm0zczz`\
  0zz0xb0od0gdu`0oe6kiHgoVdseZxsVzzRzzNzzRzzVszZizb`\
  qeRggH`eH`eJ`eJZeJZeJZeJZdJXdJXdJXdLVdLVdLVbLVbLTb\
  LTbLTbNRbNRCz4Rz0ez0ux0zu0zs0zqPzqvzzTmz0szEvzRzzd\
  zzqzvzzszmsqNsR0s04o0Cm0Jk0Ri0Ze0ed0mb0s`0X0iV0gT0\
  eT6dRHbPT`Pb`NeeNiiLkoLosLsvJuzJxzJzzdsqvk`zeJ0Cz0\
  kg0zL0xv0dz0JzGXzbizxvzimgVdRGXAVi8iu6xz4zz2zz0zzJ\
  vzbgzuTzzVzzVzzVzuVxoXugXqbXmXXkRZdV`XZbRbdVXeZRg`\
  LidHkgCmi6om0qo0xg0zb4zX8ddzZizVmzPqzLuzHzzCzz8zz4\
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  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=========================================