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October 26, 2010: Blazing Slices Oct. 25 Oct. 27 2010 FOTD Home
 Rating 5

blazing

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.

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