[Fractint] 27-07-09 (Time for Thinking [7])

27 Jul 2009

      FOTD -- July 27, 2009 (Rating 7)

Fractal visionaries and enthusiasts:

Today's image lies in the parent fractal that results when equal 
parts of Z^4 and Z^6 are mixed and C is added.  This parent 
fractal looks somewhat like a butterfly with a head on the 
negative X-axis shaped like a Mandelbrot bud.

With thick arms converging on its mouth, this bud appears to be 
non-critical, but curious double-bays along the edges of these 
arms are filled with spider-like minibrots.  Today's image shows 
one of these minibrots made all the better by rendering it with 
the inside set to 'bof61'.

After all the work, I rated the image at an average 7.  It's 
kind of fun to look at, with a bit of an art-deco feeling.  I 
named it "Time for Thinking" for some reason that I have forgot-
ten.  The words probably just popped into my head.  (An armchair 
psychologist could probably work up a complete psychoanalysis 
based on the names I give the FOTD's that just pop into my head.)

Luckily for those with time issues, today's image calculates in 
only 1-1/6 minutes, about the time it takes to make a New-York 
style egg cream.  (An egg cream consists of chocolate syrup, 
milk and seltzer water mixed in just the right amounts.  The 
amounts are critical.  It's kind of a chocolate ice-cream soda 
without the ice cream.)

Those who prefer to avoid calculation may view the finished 
image on the FOTD web site at:

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

Lots of clouds and humidity with some sun and a temperature of 
84F 29C made Sunday a perfect day for warm weather activity here 
at Fractal Central.  The fractal cats believe in warm weather 
inactivity however, so they did little but eat and sleep.  My 
day was correspondingly inactive.  If I get the ambition, the 
next FOTD will be posted in around 12 hours.  Until then, take 
care, and then do it again.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

START PARAMETER FILE=======================================

Time_for_Thinking  { ; time=0:01:10.02-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-0.73229701362/+0.00870137264/385017.8/\
  1/82.5/0 params=1/4/1/6/0/0/0/0 float=y maxiter=950
  inside=bof61 periodicity=10
  colors=000XTBVVCSWDPYEN_FK`GHbHFdICeJ9gK7hL9dOAaRB\
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  Q6CP7DP7EP8GO9HOAIOBJNCKNDLNDMcHaWLfOPkGTp8Xu0_z4`\
  x8`vBatFarIapMbnQblTcjXch }

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=========================================