[Fractint] FOTD 06-05-02 (A Broken Minibrot [5])

5 May 2002

      FOTD -- May 06, 2002 (Rating 5)

Fractal visionaries and enthusiasts:

The parent fractal of today's image was created by the iterated 
formula Z^(1.8)+C, and is shaped like a rotated and perturbed 
version of the classic M-set.  The image is located in a broken 
elephant trunk of the fractured East Valley area of the parent.

I named the image "A Broken Minibrot" because of the spirals 
which are so obviously broken.  The image is of average quality 
and rates an average rating of 5.  The breaks in image 
continuity are unavoidable with fractional exponents of Z, and 
are caused by the multi-valued nature of the complex log 
function.  But the same multi-valued nature is not all bad, 
since it makes the resulting fractals infinite both on the 
surface as well as in their depth.

The 14-minute render time can be reduced to a minute or two by 
going online and downloading the finished image from Paul's web 
site at:

          <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

or from Scott's site at:

          <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html>

Though I took the day off on Sunday, the FOTD CD is progressing. 
A midsummer completion still looks likely, and anything worth 
having is worth waiting for.

The all-important fractal weather Sunday here at Fractal Central 
was just what the fractal cats ordered.  Well, maybe they didn't 
order it, but they certainly did enjoy it.  Warm sun, light 
winds and a temperature of 68F 20C made conditions ideal for man 
and cat alike.  Both the dynamic duo and myself spent a good 
part of the afternoon in the yard, the only diversion being when 
Tippy started rolling in the emerging catnip patch.

Since all good things must eventually end, this day is just 
about on its last lap.  It's near late-news time and I can't end 
the day without knowing the latest bit of bad news.  So until 
next time on May 9, take care, and let's get some fractal into 
that fractal philosophy.

Jim Muth
jamth@mindspring.com

START 20.0 PAR-FORMULA FILE================================

A_Broken_Minibrot  { ; time=0:14:36.56--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC1 function=floor passes=1
  center-mag=+0.00817267703828271/+0.240493666992600\
  80/1.818109e+011/1/114.999944662658265/-1.10636886\
  913803578e-005 params=1.8/0/28.7/0 float=y
  maxiter=4500 inside=0 logmap=366 symmetry=none
  colors=0009F04D06F07F09F09G0AG0CG0DI0DI0FI0GJ0IJ0I\
  J0JL0LL0LL0MM0OM0PM0PO0SO0VO0VP0WP0XP0XQ0YR0YS0ZS0\
  ZS0ZS0YT0ZS0ZT1XV4VX7TYAQ_DP`GOaJLcMJdPIfSGhVDj_Cl\
  aAmd7og6pj4rm1sp0us0vv0xy0yz0zz0zz0zz0zz0zx0zu0zr0\
  zo1zl3zi4zfAzXGzOMzFSy6Yu0cr0do0fm0gl0gj0ii0jg0jf0\
  ld0mc0ma0o_0pY0pX0rV0sT0sS1uQ3vP3xO4xM4yL6zI6zG7zF\
  7zD9zC9zAAz9Az7Cz6Cz4Dz0Cz3Dz6Dz9FzCFxFGuIGrLIoOIl\
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  GDlJDgLDcOD`QFXTFTTFPTFLTFITFDTFATF6TF3YTSacu_foXi\
  jTlfQo`OrXLuSIvOJvPJvPLvPLvQMvQMvQOxQOySPzSPzSQzTQ\
  zTSzTSzVTzVTzVVzXVzXXzXXzYYzYYzY_z__z_`z_azY`z_`z_\
  `z``z``za`za`za`zc`zc`zd`zd`zd`zf`zf`zg`zgMzJMzOLz\
  QLzTLzXJz_JzcIzfGz4Dz3Cz1 }

frm:MandelbrotBC1   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END 20.0 PAR-FORMULA FILE==================================