FOTD 14-03-12 (Trouble in 4-D [6])

14 Mar 2012

      FOTD -- March 14, 2012 (Rating 6)

Fractal visionaries and enthusiasts:

Mandelbrot images and Julia images are slices cut at two 
different orientations through the 4-dimensional hyperthings 
known as Julibrots.  But there are also four other perpendicular 
orientations in Julibrots, which I unofficially call Oblate, 
Rectangular, Parabolic and Elliptic.  Today's image shows the 
Oblate view of yesterday's cubic minibrot, which is determined 
by the imag(c) and real(z) axes of the Julibrot.

The coloring is almost the same, but the shapes have undergone a 
terrible transformation.  Instead of the attractive symmetrical 
patterns surrounding the minibrot in yesterday's image, we have 
the stretched, tortured patterns surrounding it today.

Despite the identical colors, the disfigurement cuts the rating 
from a 9 to a 6.  The name "Trouble in 4-D" refers to this 
drastic deterioration of the rating.

The calculation time of 1-1/3 minutes is a fair price for the 
image.  The bargains may be found on the FOTD web sites.

Find the first bargain at the official FOTD web site, maintained 
by FL and myself at:

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

Find a high-definition bargain at Hal's web site at:>

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

And check all the past images at>

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

Total sun and a temperature of 68F 20C made today a day to be 
enjoyed here at Fractal Central.  The fractal cats found total 
enjoyment when they curled up on their sunny shelf in the south-
west window.  The humans found their enjoyment when the day 
passed uneventfully.  The next FOTD will be posted in 24 hours.  
Until then, take care, and global warming is a fact, so let's 
stop burning fossil fuels.  (It's a great solution, but what 
will we replace them with?)

Jim Muth
jimmuth@earthlink.net

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

Trouble_in_4-D     { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti function=recip float=y
  center-mag=-0.00000000000253310/-0.000000000099959\
  01/1.822797e+009/1.9508/-75.0923187513121064/50.92\
  04078507495339 params=3/30/0/0/90/0/-0.87249496347\
  77424/29.73584375063138/-0.8724949634777424/29.735\
  84375063138 maxiter=2200 logmap=215 periodicity=6
  colors=00000_00Z00Y00X00W00V00U00T00S00R00Q00Q10P2\
  0O30N40M50L60K70J80J90GA0DB0BC08D16E23F31H43J44L45\
  N56P57R58T69V6AX6BZ7C`7Db7Ed8Ff8Gg8HeBGdEFcHEbKDaN\
  C_QCZTBYWAXZ9Wa8Vd8WeDWfHWgLWhPXhUXiYXjaXkeYkjYlnY\
  mrYnv00K00K00K00K00K00K00K10K20K30K40K50K60K70K80K\
  90LA0MB0NC0OD1PE2QF3RG4SH5TI6UJ7VK8WL9XMAYNC_OE`PF\
  aQHbRJcSLeTMfUOgVQhWSiWTjUYWSbHRf2Tg7UhCViHWiMXjRZ\
  kW_l``leamjbnocnslTSt70s83s85r87r89r8Bq8Dq8Fp8Ip8K\
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  PwsUxsXyr6Cq6Bp5Ap59o48n47m36m36o2Ap49p69p89qA8rC8\
  sE8tG7uI7vK7wM6xP6yS6zV6zY8za9zeAziCzmDzrEwvFrzKoy\
  MlwOiuQfsScrUcqWcpYco_cnaclcckecjgckiWhmYko_jq`jsb\
  iuckwahy_izYhzWhzUhzShzKmzOmzRmzUmzYzz`zzczzgzzjzz\
  mzzrzzttzuvzvwzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:JulibrotMulti  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*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), aa=-(real(p1)-2),
  bb=imag(p1)-0.0000000000000000001,
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=z*z*fn1(z^(aa)+bb)+c
  |z|< 100000000 }

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

Jim Muth

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