[Fractint] FOTD 10-11-10 (The Mystical Donut [7])

9 Nov 2010

      FOTD -- November 10, 2010 (Rating 7)

Fractal visionaries and enthusiasts:

Like all images in the month of November, today's image lies in 
an unfamiliar slice of the Z^2+C Julibrot.  I'll not try to 
describe the location or orientation of the parent-fractal 
slice, other than reporting that it is centered on Seahorse 
Valley and is double-rotated halfway between the Mandelbrot and 
Julia orientations.  This is little help, since in the 4-D 
Julibrot there are countless orientations halfway between the M 
and J directions.  Today's scene is located on the rudimentary 
main stem of the parent slice.

I named the image "The Mystical Donut".  I know it's a rather 
silly name.  There is little of a mystical nature in a donut.  
But I can't help it if I saw a donut in the image.

Most of the image's detail was created by rendering it with the 
outside set to 'real'.  The 'imag' and 'summ' options work 
almost as well.

The rating of a 7 makes the image worth the minute required to 
run the parameter file.

Those with over-qualified machines can hopefully find the eye-
ball-ready image posted to the FOTD web site at:

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

A mixture of sun and clouds prevailed here at Fractal Central on 
Tuesday, with the clouds predominating.  The temperature of 55F 
13C was just a bit too chilly for maximum comfort, though it was 
about normal for early November.  The fractal cats enjoyed the 
sun when it appeared and sought comfort by the heat when it went 
behind the clouds.

My day was average.  Isn't that boring?  The next FOTD will be 
posted in 24 hours.  Until then, take care, and do we exist even 
when we are unconscious?

Jim Muth
jamth@mindspring.com

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

The_Mystical_Donut { ; time=0:01:03.50-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 center-mag=-1.41420407/\
  0/724383.1/1.5564/-90/0 params=45/0/-45/0/-0.75/0\
  /0/0 float=y maxiter=1400 inside=0 outside=real
  colors=000JffIeeIddIccIbbIbaIb`Ib_IbZIbYIbXIbWIbVI\
  bUKaTLaSNaROaQQaPSaOTaNVcMXeLYgK_iK`kKdmKhoKmqKrsK\
  vs2zz2zzzzzzzzzzzzvuzrw2my2hz2ZoCUeMPVWKLfGApCAzB8\
  vB6tB4rB3oB3mA4kA4iA5gA6eA6dA7c97b98a98`99_9AZ9AY8\
  BX8BW8CV8CU8DT8DS7ER7EQ7FP7FO7FN7GM7GL7GN7HP7HS7IU\
  7IW6IZ6J`6Jb6Je6Kg6Ki6Ll6Ln6Lp6Ms6Mu6Mw8Nv9OuAPtBP\
  sCQrDRqERpGSoHTnITmJUmKVlLVkMWjOXiPXhQYgRZfSZeT_dU\
  `cV`cSZdQYeOXeMWfJVgHUgFThDRiBQi8Pj6Ok4Nk2Ml0Ll2Nh\
  3Od4Pa5QY6RU7SR8TN9UJAVGBWCCX8DY5BaDAeL9iT8l`AmaBm\
  bDmcEmdGmeHnfJngKnhMniNnjOnkQolRomTonUooWopXpqZpr_\
  psaptbpucpuensflrgkqhipigojfnldlmcknajo_ipZhqXgrWf\
  n_djbcffabi`Zm_VpYRtXOwWNtVMqVLoVKlVJjUIgUHeUGbUF_\
  UEYTDVTCTTBQTAOTCPUDQUERUFSUGTUHUVIVVJWVKXVLYVNZWO\
  _WP`WQaWRbWScXTdXUeXVfXWgXVeUVcSVbQV`OV_MVYKUXIUVG\
  UUEUSCURAUP8UO6SSDQWKP_QNcXMgbKkiJnoKnpKnpKnpKnpKn\
  oKnnKmmKllKkkKjjKiiJhhJgg }

frm:SliceJulibrot2   {; 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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

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