;     Date: Mon, 25 Oct 2010 20:24:02 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 26-10-10 (Blazing Slices [5])
;       Id: <1.5.4.16.20101025202356.12ef55ca@pop.mindspring.com>
; ---------
; 
; 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=========================================
; 
; 
; 
; 
; _______________________________________________
; Fractint mailing list
; Fractint@mailman.xmission.com
; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint
;