Fractal of the Day
by Jim Muth

Z-Exponent-Pi ©
Jim Muth's fractal image in GIF format (640x480).


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==================================


Want to view, create, or know more about fractals?
Go to my Fractal Links webpage,
or to the renowned Fractal Census

Go to Paul's Fractal pages or Home Page.

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