Fractal visionaries and enthusiasts:  

PI is the delicious dessert that mother used to bake.  It is also the 16th letter of the Greek alphabet, and also the transcendental number 3.14159..., which is ratio of the circumference of a circle to its diameter.  And PI is also 200 radians, which is an angle of 180 degrees or half of a complete rotation.  In today's case, PI is strictly for fun.

Today's image shows some of what happens in the fractal that is created when the expression Z^(PI)+C is iterated PI levels up the hyperladder.  This parent itself appears as a shapeless blob with an obvious split along the X-axis and mis-shapen buds all along its convoluted edges.

Today's scene lies in the chaos surrounding a small bud in the northeast quadrant of the parent.  I named the image PI in PI because of the double PI in its parameters.

The art rates a perhaps overblown 6, while the math comes in at a 7.  The calculation time of a speedy 30 seconds will cause no one any distress.  And the web sites can cut even this time.

Lots of clouds filled the sky here at Fractal Central today, but enough sun got through to leave the impression of a fair day.  The mild temperature of 68F 20C actually made things rather pleasant.  The three dynamic fractal cats slept through most of the afternoon but were quite frisky in the evening.  The humans had another in an endless string of uneventful days.

The next FOTD will be posted.  This is all I can say at the moment.  Until whenever, take care, and those who say their prayers at night will get their PI in the sky bye and bye.

Jim Muth
jimmuth@earthlink.net


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

PI_in_PI           { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=Mandelbrot4BC center-mag=+0.0718685468\
  4132285/+0.7486480448134041/9.518355e+011/1/55/0
  params=3.14159265358979/3.14159265358979 float=y
  maxiter=1500 inside=0 logmap=58 periodicity=6
  mathtolerance=0.05/1
  colors=000DR7FTAHWEJZHLcKNhKPmNRrQTvTVzWXxXZwX`vXc\
  tXfsXhrXmwelt`kqWjoRimMhkHgiCfg7ee2dc4ca6b_7_X9ZUB\
  YRCXMEWIFVEFUAET6ES2ER2EQ2EP2DO2DN2DM2DL2DK2DK2CK2\
  CK2CK2CK2CK2BK2BK2BK2BK2BK2BK2AJ1AI1AH1AG1AF1AE19D\
  19C19B19A19919918918818818818817817717717717717716\
  61661661661661561551551550550550440440440440440330\
  33033033033033022022022022022011011011011011010000\
  00000000500A52FA4KF6PK8UPAZSCcVEfUGiUIhUJhUIhUIhUI\
  gTIgTIgTIgTIfTIfTIfSIfSHeSHeSHeSHeSHdRHdcHdcHdcHdc\
  HccGccGccGccGbcGbcGbcGbcGacGacGacFacF`mF`mF`mF`mF_\
  mF_mF_mF_mFZmEZmEZmEZmEYmEYmEYmEYmEYwEXwEXwDXwDXwD\
  WwDWwDWwDWwDVwDdwfWw`MwWCwQ0wB2wG3gL5iP6kU8mY9pbBr\
  fCtkEvoFxtGzxKxvNvuQutTsrWrqZppazodzmgzljzkmzipzhs\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:Mandelbrot4BC   { ; by several Fractint users
Z=C=Pixel:
Z=log(Z),
IF(imag(Z)>0),
Z=Z+flip(2*PI), ENDIF
Z=exp(real(p1)*(Z+flip(imag(p1))))+C,
|Z|<36 }

END PARAMETER FILE=========================================