Fractal visionaries and enthusiasts: 

Today's image takes us to the world that results when the expression Z^1.666... is iterated PI levels up the hyperladder.  This world is a parent fractal with a football shaped main bay centered at the origin, with XY symmetry and large buds on the Y-axis at the north and south edges of the football.  Except for these two prominent buds, the shore line of the fractal, though lined with sandy debris, is exceptionally free of buds.

A prominent minibrot lies in the debris on the ENE shore line of the main bay.  This minibrot also exists in the other three symmetrical quadrants.  Today's scene lies near another minibrot near the large prominent northeast minibrot, but beyond its field of influence.

The image has a somewhat creepy feeling, with the yellowish tendrils reaching outward from the minibrot in the upper left corner, ready to wrap around and snatch away any fractalist unwary enough to stray within reach.

I named the image "Lime PI in the Sky" as kind of a joke.  Key lime pie is my favorite pie, and PI is a transcendental number, which certainly has no flavor.  Also, 'pie in the sky' is what is sometimes said of the dream of those who put too much faith in hypothetical bliss to come in the sky in heaven after they die.  (I'm not saying it isn't so, but I have yet to see any convincing signs that it is.)

The rating of both the art and math aspects is an everyday 6, while the lengthy calculation time of 3-1/3 minutes removes any pretense of the image being a bargain.  Salvation of the material kind is available on the FOTD web sites.

Cloudless skies and a temperature of 75F 24C made today nearly ideal here at Fractal Central.  The fractal cat celebrated the fine outside weather from the inside.  Instead of sleeping the afternoon away, he got in the mood for play, and satisfied himself when I brought out a string, which he chased and caught.  The humans had more mundane things to do.

The next FOTD will be posted when I get a round tuit.  Until I find the tuit, take care, and people report seeing things such as alien spaceships, bigfoots, lake monsters, ghosts and fairies, etc., etc.  And people also report being abducted, taken into alien space ships and examined by the aliens.  It is very unlikely that all these people are lying, yet any sensible person knows that such things do not exist.  If they did, especially with so many cameras everywhere, we would have solid evidence.

So where are the bigfoot bodies?  Where are the unambiguous photos of alien space ships?  Where are the ghost photos that look like something more than a condensation cloud?  Where are the recorded spirit voices that sound like more than static?

Absolutely everyone who reports experiencing something that science implies is impossible cannot be lying, mistaken or deluded.  What do these contradictions mean?  The contradictions are good ideas for topics of future discussions however.  I'll take them one at a time with no guarantee of making anyone, especially born again believers or born again skeptics, happy.

Jim (good with fractals but bad with common sense) Muth
jimmuth@earthlink.net


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

Lime_PI_in_the_Sky { ; time=0:03:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.935424261758573/+0.3869284494344593/\
  30973/1/-120/-1.23147186892325067e-011 logmap=163
  params=1.6666666666667/0/3.1415926535898/0 float=y
  maxiter=2750 inside=0 periodicity=6 mathtolerance=/1
  colors=0008ZY8ZX8YW8YV7XU7XT7XS7WR6WQ6VP6UO6TN5SM5\
  RL5QK4OZ4NU4LP4KK3II3HH3FG3EE2CD2BB29A28949B69C8AD\
  9AFBBGDBHECJGCKIDLKDNKEOKEPKFRKFSKGTKGVKHWKHXKIZKI\
  _KJUKJUKKUKKUKLUKLUKMUKMUKNUKNUKNUKNUKNUKNUKNUKOUe\
  OhdOhcOhcOhbOhaOh`Oh_Ph_PhZPhYPhXPhWPhVPhVQhUQhTQU\
  SQURQUQQUQQUPQUORUNRUMRUMRULRUKRUJRUISUHSUHSUGSUFS\
  UESUDSUCUUDSUDQUEOUEMUEKUFIUFGUGFUGDUGBUH9UU7VU5TU\
  3SU2RU3QU3QU3QU3PU3PU3PU3OU3OU3OU3NU4NU4NU4NU4MU4M\
  U4MU4LU4LU4LU4KU4KU5KU5KU5JU5JU5JU5IU5IU5IU5HU5HU5\
  HU6HU6GU6GU6GU6FU6FU6FU6EU6EU6EU4FU6EI7EJ8EK9EKADL\
  BDMDDNEDNFDOGCPHCQICQJCRLBSMBTNBTOBUPBVQAWSAWTAXUA\
  YVAZW9_X9mc9mc9mc8mc8mc8mc8md8mf7zzUzzUzzUzzUzzUzz\
  UzzUzzUzzczzczzczzczzczzczzczzcmscmrcmrcmqcmqcmpcm\
  pcmocmocmncmncmmcIocGqbDtdBwfUzhUzkcznczqczsczuczw\
  mzxmzymzzmzzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-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 PARAMETER FILE=========================================