[Fractint] FOTD 10-04-13 (The Mighty Midget [8.5])

11 Apr 2013

      FOTD -- April 10, 2013 (Rating 8.5)

Fractal visionaries and enthusiasts:

The formula behind today's image is Z^(1.09)+C, a hopeless 
expression if ever there was one.  But as today's image shows, 
things need not always be as hopeless as it first appears, and 
an expression as close to linearity as today's can produce 
interesting fractals when calculated with one of the alternate 
complex logarithms.

The parent fractal is shaped like a torpedo, much as the 
minibrot at the center of today's image.  In the range of 
exponents so close to unity, most all the fractals tend to 
resemble torpedoes, but this does not mean they are necessarily 
all the same.  Check the minibrot in today's image, which 
actually creates a rather pronounced 3-D effect.

Most of this effect is due to my semi-skilled coloring of 
course, and I rewarded myself with a full half point for the 
effort.  The name "The Mighty Midget" is a comment on how the 
image gets so much from so little.  The calculation time of 
2-1/2 minutes borders on slowness.  The web sites are there to 
avoid impatience.

So make life easy.  Check the finished image at:

      <http://www.crosscanpuzzles.com/Archives.html>

And check the hi-def variations at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The back images are filed online at:

       <http://www.Nahee.com/FOTD/>

Midsummer arrived with a bang here at Fractal Central today, 
with a temperature of 86F 30C and an afternoon thunder-shower.  
The fractal cat said enough heat is enough and started searching 
for a cooler spot than the window shelf.  The humans meanwhile 
had an average day.

The next FOTD will be posted before long, though I'm not sure of 
the route.  Until whenever and however, take care, and be ever 
aware of the dangers inherent in making hasty decisions that 
will do nothing but make someone feel better.

Jim Muth
jimmuth@earthlink.net

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

The_Mighty_Midget  { ; time=0:02:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=-0.192308145885724/-1.991515836863857/\
  2998.507/1/57.5/0 params=1.09/0/525/0 float=y
  maxiter=5000 inside=0 logmap=140 periodicity=6
  colors=00060F70F70F80F90F90FA0FA0EB0EC0DC0DD0DD0EE\
  0EF0FF0EG0DG0BH09I08I06J14J03K14K24K34L44L54L64M74\
  M84M94NA4NB4NC5ND5OE5OF5OG5PH5PI5PJ5QK5QL5QM5QN5RO\
  6RP6RQ6SR6SS6ST6TU6TV6TW6UX6UY6UZ7U_7V`7Va7Vb7Wc7W\
  d7We7Xf7Xg7Xh7bn7_k7Xh7Ve7Sb7Q_7NX7KU7IR7FO7DL7AI7\
  7H58G68G78G78G88G98G98GA8GB8GB8GC8GD8GD8GE8GF8GF8G\
  G8GG8FH8FI8FI8FJ8FK8FK8FL8FM8FM8FN8FO8FO8FP8FQ8FQ8\
  FR8FR8ES8ET8Qh8Qg8Qf8Qe8Qd7Qc7Qb7Qa7Q`5UeN6SQBWTGZ\
  VLaYQe`Vhd`mbZkaXj_VhZTgXReWPdVOcTMaSK`QIZPGYNEWMC\
  VN9WLBUKDSJEQIGPGINFJLELKDMIBOGAQF9RD8Tz6Vz5Wz4cz4\
  `z3cz3Xz3cz3Uz3cz3Uz2cz2Uz2cz2Uz2czUUzUUzUUzUUzUcz\
  UczUczUczUczUczUczUczUczUczUczUczc_kcbjceichhckgcn\
  fclecjechecfecdeccecceccecceccecczcczcczcczcczcczc\
  czcczcczmmzmmzmmzmmzmmzmmzmmzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-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 PARAMETER FILE=========================================