[Fractint] FOTD 26-10-10 (Blazing Slices [5])

26 Oct 2010

      FOTD -- October 26, 2010 (Rating 5)

Fractal visionaries and enthusiasts:

Today's image is a view of the western part of the Mandelbrot 
set rotated so that west is facing up.  It is sliced at an angle 
rotated 66 degrees toward the Oblate orientation.  The image is 
actually a scene in the four-dimensional Z^2+C complex known as 
the Julibrot, which holds all the perturbed Mandelbrot sets as 
well as all the Julia sets.

Over the years I have stumbled upon countless other Julibrot 
scenes sliced in odd directions, which look nothing at all like 
either Julia or Mandelbrot images.  Perhaps I'll use some of 
these odd images as FOTD's before too long.  They certainly are 
interesting enough even though they might not always excel in 
artistic worth.

The spurious buds in today's image are neither Julia nor 
Mandelbrot things.  They exist only at the orientation of 
today's image.  Changing the P1 or P2 parameters will show how 
critical the orientation is.

The name "Blazing Slices" has no connection to an old western 
comedy movie.  It refers to the fiery colors I intentionally 
gave the image.

The calculation time of 10 seconds makes even a 5-rated image 
such as today's a bargain.  The image may also be viewed, this 
time in finished form, on the FOTD web site at:

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

I made a big mistake Monday afternoon when I caught FL watching 
one of those mushy latin soap operas and asked her what the show 
was about.  When she described the plot, it went something like 
this: `that woman loves that man but he doesn't love her and the 
woman he does love doesn't know that he is her brother.  This 
other woman wants a divorce from her no-good husband, but he has 
just won a huge lottery and now she doesn't know what to do 
about the man she really loves.  This other man loves the first 
woman but he has a crippled wife who depends on him.'  On and on 
the convoluted plot description went until, after a few minutes 
of trying to fathom the intricacies, I dozed off.  When I jerked 
to my senses, I asked FL where does the action fit in.  The 
resulting laughter made my day.

A fairly pleasant day passed almost un-noticed here at Fractal 
Central on Monday.  The fractal cats did notice the intermittent 
periods of sun and the unseasonably warm temperature of 72F 22C, 
but the humans were involved in other things.

The next FOTD will be posted in 24 hours.  Until then, take 
care, and the golden rule is supposed to work both ways.

Jim Muth
jamth@mindspring.com

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

Blazing_Slices     { ; time=0:00:10.10-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=0/1.10231/\
  1.5/2.0709 params=0/66/0/90/-0.75/0/0/0/2/0 float=y
  maxiter=450 inside=0 logmap=yes passes=1
  colors=00091ZB2_E3`H4aK5bM6cP7cS8cV9cYAc`BccC_fDWj\
  ESmFOpFMqEKs9Iv2Jz0KzALzDMvGNsJOpMPpPQpSRpVSpYTp`S\
  ocSofSoiRpiRpjQpkQqlQqlPqmPrnOroOroNspNsqNsrMtrMts\
  LttLuuLuuKuvKvwJvxJwzKvxJvwJuvJutJtsJtrJspJsoJrnJr\
  zJqzJqzJpzJpzJozJozJnzJnzJmzJmzJlzJlzJkzJkzJjzJpzK\
  mzJjzJhzIzzzbzzzzzYzzWzzzzzQzzOzzzzzKzzJzzJzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

END PARAMETER FILE=========================================