[Fractint] FOTD 03-05-02 (Eight Gold Keyholes [6])

3 May 2002

      FOTD -- May 03, 2002 (Rating 6)

Fractal visionaries and enthusiasts:

Today's fractal scene exists in an oversized parent fractal, way 
out on a filament that leads from a mandel-bud of the main bay 
and terminates in a ring-like feature.  Many filaments converge 
on this ring, but only the one that comes from the bud has 
midgets along it.

The terminal ring is mirrored in the eight rings, (I call them 
keyholes), that surround the midget in today's image.  The 
formula of the parent fractal is Z^(-11)+6Z^(-1.1)+(1/C).  This 
formula was iterated by the MandelbrotMix2 Fractint formula, 
which likely will replace the old M-Mix4 formula as my most 
often used formula.  The speed of the new formula is the same, 
and the new one is more versatile.

The blue-gold color scheme makes the image appear a bit better 
than its actual worth of average.  I therefore rated it at a 6, 
which is the least possible above-average rating for a FOTD 
fractal.

The 9-minute render time of the attached parameter file makes a 
download of the completed GIF image the marginally better 
choice.  That download can be found at Paul's web site at:

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

and at Scott's site at:

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

The fractal weather Thursday started with a heavy thunder-storm, 
followed by sun from 10am to 3pm.  At 4pm, another heavy thunder-
storm, this one with golf-ball-sized hail, passed over.  Between 
storms it was warm and humid, with a temperature around 80F 27C. 
The fractal cats found enough time during the midday sunny 
period to romp in the yard, but when the hailstones started 
clattering, they dashed for cover and didn't come out for nearly 
an hour.

As for myself, I've got work waiting and not enough time in 
which to do it.  The best way I know of solving the problem is 
to get started, so that's what I'm about to do.  And that FOTD 
CD, which has been languishing of late, still has a considerable 
amount of work to be done.  The next FOTD will appear May 6.  
Until then, take care, and be philosophical.

Jim Muth
jamth@mindspring.com

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

EightGoldKeyholes  { ; time=0:09:07.33--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix2 function=recip passes=1
  center-mag=+428.8990414983479/-46.07822226439/272/\
  1/-15/-6.55149697686985277e-009 params=6/-1.1/1/-1\
  1.1/0/525/0/0 float=y maxiter=1500 inside=0
  logmap=149 periodicity=0 colors=00000l00m00n01o02p\
  03q04r05s06t07u08v09w0Ax09y07z05x05z03u03x03r03q01\
  m01j01f01d00a00Y10U10Q10N30J30F30D3095055015007007\
  00700700B00F30H70LB0PF0QL0UP3YS5ZW7cZBfdDhhFllJooL\
  qpNrqLsqLtqLuqLvqLwqLwqLwoLwoLwoLroLroLmoLmoLmmLmm\
  LmmLmmLimLimLfmLijNjhPlfQmdQoaSqZUsYUtWWvUYyQYzPZz\
  NazLazJczFdzDdzBfz9hz7hzBjzFlzHmyLovPqsQqoUslYthZv\
  dcxafyYhyUlzQozNqzJtzFxzByzDzzDzzDzzDzyDzvDztFzsFz\
  qFzmFzlFzjFzhDzjBzlBzl9zm9ym7vo7sq5oq5ls3hs3dt1av1\
  Yv0Ux0Qx0Ny0Jy0Fy0By07y09v0Bs0Do0Fl0Hh0Jd0Ja0LY0NU\
  0PQ0QN0SJ0UF0UB1YF1aP3dY5hf7loFoxNszUvzayzhzzfzzdz\
  zdzzczzazzazzYzzUzzQzzPzzLzyHzyFzxBzx7zv5zv7zo9zhB\
  taDmUFfNHaFJc7Ld0Nf0Ph0Pj0Sl0dm0fq0ht0jq0lo0mm0oj0\
  qh0sf0tc0ta0vZ0xY0yY0zY0zY5zYFzYJzYNzYQzYUzYYzYazY\
  dzYhzYlzYozYszYvzYyzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzz\
  YzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzYz }

frm:MandelbrotMix2 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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