Fractal visionaries and enthusiasts:

Today's image is presented exactly as it came off the press, with no manipulation such as rotating, stretching or skewing applied.  What appears on the screen is all there is of the fractal.  Nothing has been cropped.  Such chaos is typical of Julibrot slices at such weird 4-D angles.

The foreground features, which are colored dirty brown, are low iteration stuff that can go in any direction at all.  The brilliant blue stuff in the background is high iteration stuff that defines the Mandelbrot set.  This blue stuff is actually a very familiar segment of the Mandelbrot-set shape, though at the weird angle at which it is being viewed, it is unrecognizable.

In tomorrow's FOTD however, I will post another version of today's scene, in which I have done all the manipulation needed to return the Mandelbrot part to its normal state.  This will include substantial stretching and skewing, as well as a generous rotation.

Since today's image is all math with almost no artistic intent, I could not give it a rating.  The name "UnManipulated View" describes the image.

Since the image is of such a low magnitude and maxiter, it calculates in a fireball 6 seconds.  The image should also be available on the FOTD web site at:

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

Heavy clouds and blustery conditions continued here at Fractal Central on Thursday, with a temperature of 50F 10C.  The fractal cats kept happy chasing the point of light from a toy laser around the living room until they both began panting, and we decided they had had enough exertion for one day.

As far as the graphic design work went, my day was slow.  As for politics, in the morning paper I saw a column by a liberal woman columnist about how our schools are failing the young men, while the young women are excelling.  I thought it was the women who are supposed to be suppressed beneath a glass ceiling by our patriarchal, male-dominated society.

Regardless of who is suppressing who, the fractals are certainly not being suppressed.  In fact, the next one will be posted in 24 hours.  Until then, take care, and you can't have it both ways!

Jim Muth
jamth@mindspring.com


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

UnManipulated_View { ; time=0:00:06.04-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot2 center-mag=0.967912/\
  -0.1798/0.7473842 params=152/105/-64/49/-1/0/\
  1.118/0 float=y maxiter=1800 inside=0 logmap=yes
  symmetry=none periodicity=6
  colors=000C36D47E58F69G7AH8BI9CKADMCEOEFQGGTIHWKIZ\
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  MrzErzFrzFrzFrzGrzGrzGrzHrzHrzHrzHrzIrzIrzIrzJrzJr\
  zJrzKrzKrzKrzXzzWzzWzzVzzVzzUzzUzzTzzTzzSzzSzzRzzR\
  zzQzzQxzPwzPuzOszOrzNpzNnzMmzMkzLizLhzKfzKdzTdzScz\
  RczQczQczPczOczNczNczMczLczKczeVzdWzcWzbXzaXz`Xz_Y\
  z_YzZYzYZzXZzWZzV_zV_zU_zT`zS`zR`zQazPazPazObzNbzM\
  bzLczKcz_zzXzzUwzSrzPmzMhz`zz_zzZzzZzzYzzYzzXzzXzz\
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  zzNzzMzzLzzKzz6zz7zz8zz8zz9zz9zzAzzAzzBzzBzzCzzCzz\
  DzzDzzEzzFzzFzzGzzGzzHzzHzzIzzIzzJzzJzzKzz4zz5zz6z\
  z7zz8zz9zzAzzBzzPzzOzzNzz }

frm:SliceJulibrot2   {; draws most 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=========================================