Fractal visionaries and enthusiasts:  

Today's image shows an 'almost' Julia midget, which is why I named it "Almost a Julia Set".  An 'almost' Julia image is exactly what it says.  True Julia sets are double rotated 90,90 degrees from the Mandelbrot orientation, so that they intersect the Mandelbrot plane in a single point at an orientation absolutely perpendicular to the Mandelbrot orientation.  By contrast, the plane of today's image is rotated only 89.99,89.99 degrees from the Mandelbrot orientation, which makes it an 'almost' Julia image.

The advantage of 'almost' Julia images is that the mini Julia sets in them are quite varied in their appearance, unlike the mini Julia sets in true Julia fractals, which are all of the same basic shape.

Today's scene lies in a near-Julia view of the East Valley of the minibrot on the southern main spike of the Mandeloid parent fractal, which was created by the expression (-Z)^(2.5)+C.

In my opinion, the image rates a 7 for both its art and math values.  Also in my opinion is that the image, with its calculation time of 6-1/2 minutes, is rather slow.  The web sites can eliminate this drawback however.

Heavy dark gray clouds, brisk winds and a temperature of 52F 11C brought a feeling of approaching winter to Fractal Central today.  The fractal cats chose their chairs early and remained snuggly curled up most of the afternoon.  The humans, always busy, made it through the busy day without incident, which is pleasant to live through but boring to tell about.

The next FOTD will be posted in a day or two or three.  Until next time, take care, and there's a new world coming, that's for sure.  But will it be better or worse than the world we have now?

Jim Muth
jimmuth@earthlink.net


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

Almost_a_Julia_Set { ; time=0:06:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot5 passes=1 float=y
  center-mag=+0.2300458979/+0.2386715144/791/1/67.5/0
  params=89.99/0/89.99/0/-1.4221/-0.22435/0/0/2.5/0
  maxiter=5500 inside=0 logmap=13 periodicity=6
  colors=00020830B50E71H92KB3ND4QF5TH6WJ7ZL8aO9dRAgU\
  BjXCm_DkaEicFgcGecHcbIaaJ_`KY_JWZIUYHSXGQWFOVEMUEK\
  TEIUDHUCKVBMVAPW9SW9UW8XX7_X6aY5dY4gY4iZ5jZ5jZ6jZ6\
  j_7j_7j_8k_8k`9k`9k`Ak`Ak`AkVIjPPjJXiDciFkhKrhPseU\
  sbZs_csYhsVmsSrsPwsNxsKxsHxsFunHriJocLlXMiLOfEQg7S\
  h0Tc2P_4LW5IS7EO8BQCIRFPSJVUMaVQhWTnZGq`4taCrbJpcQ\
  ndYledjfkhgrfdpdbnb`l`ZjZXiXVgVTeTRcRPaPWWWYQWXWUQ\
  aSIgQAjKAlOEmWImbJkaKi`Lg`Me_NcZOaZP`YQZYRXXSVWTTW\
  URVXSRWRTVQVUQWUPYTPZSO`RNbRNcQMePMfOLhOKjNKkMJmJM\
  sLKpMJnNIkNEgOHiOJjOMlOOmOQoOTpOVrOXsO_uOavLhzNexO\
  cwP`vZbxQZuHWr8To0Qm1Pl2Pl3Pl3Ok4Ok5Ok6Ok6Nj7Nj8Nj\
  6Ki8NjAPkCSlEUmGWmIZnK`oMbpOeqQgqSirUlsWnt`nuZotYp\
  tWpsVqsUrsSrrRsrQtrOtqNuqMvqKvpJwpIwpLsqOpqRlqUiqX\
  eq_bqb_qeWqhTqkPqnMqqJqlPrhUrdZs`csXhtTmtMsvOruPrt\
  QqsSqrTqrUpqVppXpoYonZon`omanlbnkcnkdkjeiiffhfdhga\
  gh_fhYfiVejTdkQckOclLbmJa }

frm:SliceJulibrot5   {; 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=========================================