Fractal visionaries and enthusiasts:  

Today's image shows the same scene and uses the same color palette as yesterday's image, yet it appears totally different.  The reason is that today's image is sliced through the Julibrot at a different angle.  And while yesterday's image calculated in 10 seconds, today's takes 5-1/4 minutes to finish.  This time difference is a result of the high speed of the mandel formula hard-coded in Fractint.

As is usually the case with images sliced at such odd angles, I needed to stretch and skew the image to bring it to reasonable proportions.  I re-used the same color palette to keep track of the elements common to both images.

The artistic aspect rates only a 5.  The stretched and tortured features are really not all that attractive.  The math aspect however is worth a 7, up four points from yesterday's lowly 3.  The four dimensional nature of the Julibrot plays a great part in the math rating of today's image.

The calculation time of 5-1/4 minutes is slow by any standards, but visiting the web sites will eliminate the calculation wait.

A mix of sun and clouds with a high temperature of 48F +9C made today feel like spring despite the huge piles of snow still lying around.  The fractal cats took advantage of the sun when it was shining, then got into a tussle that grew a bit too heated.  The fractal humans watched the olympic ice skating, but became only mildly disappointed when the U.S. (in the opinion of many, the greatest nation on earth), failed to win a medal.

Unless something unexpected happens, the next FOTD, which is already in the bag, will be posted in 24 hours .  Until next time, take care, and is there such a thing as a real illusion?

Jim Muth
jimmuth@earthlink.net


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

A_New_Orientation  { ; time=0:05:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=-0.000000000\
  00429617/+0.00000000000046497/1.427789e+012/\
  0.02601/6.40410471357221045/70.6951562808555707
  params=-105.18/-176.87/37.25/8.91/-1.7864399162298\
  41/1.20723576e-007/-1.786439916229841/1.20723576e-\
  007/2/0 float=y maxiter=6400 inside=0 logmap=-893
  periodicity=0 mathtolerance=0.05/1
  colors=00000C00C00D00D00E00F00G10H20I30J40K50L60M7\
  0O81Q92SA3TB4UC5VE6WF7YG8_H9aICcNFeTHgZKicNmiQroTv\
  tVzKHePIaUJYZKUcLRhLNmPJrUGvZCzc8zh5z0Dc6KP8DDA70C\
  14G58K8BOCFRFJVIMZMQbPTeSWbOY`K_YHaWDcUAVP9NL8FH77\
  D66A960C6AF5FI5KK5PN4UQ4ZT4cV5eY6g`7hb8je9lhAmjBom\
  CrpCwrLzzHcxDUv9Kt5Cs8FqAHpCJnFLmHNlJQjMSiOUhQWfTY\
  eV`cXbb_daaffchmejzbhm`ffZd`WbaU`aSZbPXcNVdLTdIReG\
  PfENgCMgELeGLdIKcJKaLK`NJ_OJYQIXSIWTIUVHTXHSYHRVOS\
  SVSQ`TNgTLmUItUGzUHxVHwVHuVItVIsVIqVJpVJnWJmWKlWKj\
  WKiWLgWLfWLeWTc1WcBYcK_cTbcbdckfctgcthcsictjcukcvm\
  cwncxocypczqczrczscztczuczvczwczxczzczzczzczzczzcz\
  zczzczzczzczzczzczzczzczzczzczzczymzzmzzmzzmzzmzzm\
  zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzz\
  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=========================================