[Fractint] FOTD 23-05-04 (Z-Eexponent-Pi [3])

23 May 2004

      FOTD -- May 23, 2004 (Rating 3)

Fractal visionaries and enthusiasts:

Unless I am mistaken, today's image is the third consecutive one 
with a rating of a lowly 3.  FOTD quality seems to be slipping.  
The work rush here at F.C. is taking its toll.

There is an infinite family of 'zexpe' fractals with an exponent 
of epsilon, so why not a family of 'zexpi' fractals with an 
exponent of pi?  In fact, there is a family of 'zexpi' fractals, 
(I just decided there is), and one of its infinite number serves 
as the source of today's image, which I have named Z-Exponent-Pi.

The scene of the image is very near the negative real axis of 
its parent, in an area filled with discontinuities.  The render 
time of 4-1/2 minutes gives an overall value of 65, which, 
depending on the individual fractalist, may or may not be worth 
the effort.  The simplest and quickest way to see the image is 
to view it on the FOTD web site at:

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

Saturday was quite warm and sunny here at Fractal Central.  The 
high temperature of 90F 32C was near perfect for both fractal 
cats and cicadas.  The cats watched from the yard while the 
cicadas sang in the trees, and as far as I could tell, everyone 
was happy.  When evening arrived, the cicadas stopped singing 
and the dynamic duo came indoors for their treat.  Today is 
starting the same.

I'm going to take it as easy as possible today.  It looks like a 
very busy week coming up.  Until next FOTD, which I still hope 
to have ready in 24 hours, take care, and see you then.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

Z-Exponent-Pi      { ; time=0:04:34.96--SF5 on a P200
  reset=2003 type=formula formulafile=allinone.frm
  formulaname=MandelbrotBC2 passes=1
  center-mag=-0.44889489820032070/-0.008655752583507\
  26/1687871/1/-80/1.02041138039243862e-009
  params=3.14159265358979/0/0/0 float=y maxiter=1400
  inside=0 logmap=114 periodicity=10
  colors=000VMGIIDFF9BB8S84O400002604D06F29G4BG6DI8F\
  I9P`O`qaeyghzlauhVhcPZZIMTG6GDBO9GT6MZ4Pc0Vh0`n0es\
  0Mw0hy0sz0zz0jw0Rs08p00n0DZ0aK0gR0jX2nc8shBwpFzuIq\
  sMjsPcqRXqVPqZGp`9pc2ng0nh0n6az2`z0Zz0Xz0Vz0Tz0Rz0\
  Pz0Zz0Oz0KzBFzMBzZ6zh2zs0zz0zz0yz0wz2uz8szFqzKpzPn\
  zXlzalzgjznhzsgzyezzczzazz`zz`zzZzzXzzVzzVzzTzwRzs\
  RzpPzlOzgMzcMz`KzXIzTIzPMzMPzKTwGXuF`qBcp9gl6hh2lg\
  0pc0sa0wZ0zX0zT0zR0zT0zV0zX0zZ0z`2z`4zyVzzuzzzgjzK\
  Xz0Tz0Pz0Oz0Kz0Gz2Fz4Bz69z66z82z90zB0zB0zD0zF0zG0z\
  F0zG0zG0zG4zIBzIGzIOzKTzKZzKezMjzMqzMwzOzzOzzOzzIz\
  zOzzTzzZzzczzhwzlsyqpwwlszhpzelzlczajzTqzKyzBzu2zn\
  0zg0z`0zZ8yZKlXV`XgMXq9Vz0Vz0Vz0cz0jz6qzDyzKzzRzzV\
  zzXzzZzzZzzZzz`zz`zz`zzazzazzazzczzczzczzezzczzazz\
  `zzZzzZzzXzzVzzTzzRzzRzzPzzOzzMzzMzzIzzGzzFzzDzzDz\
  zBzz9zz8zz8zz6zz4zz4zz6zz8zz9zzBzzDzzFzzGzzGzzIzzK\
  zzMzzOzzPzzRzzTzzTzzPzz0z }

frm:MandelbrotBC2   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*floor(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==================================