Fractal visionaries and enthusiasts:

As I said in yesterday's FOTD, I have grown bored with the odd slices of the Julibrot, and have decided to return to the old familiar routine images a week early.

Today's image lies in a remote valley of the strange parent fractal that results when the formula Z^sqrt(2)+C is iterated 41.3 levels up the complex logarithmic ladded with no function applied.

The minibrot at the center is a square-root-of-2 thing.  With exponents of Z in this range, parent fractals and their minibrots can take any shape whatever, which is not surprising, since the complex logarithm is multi-valued.

The name "Busy-body Blueness" is one of the most unjustified I can remember.  Very few blue tints are in the image, which is more of a sickly olive-green and orange than anything else.  I have no idea what the 'busybody' is supposed to refer to. 

The rating of a 5 might have been higher if I had put a bit more effort into the coloring.

The calculation time of 5-1/4 minutes is asking a bit much from the casual viewer to see a 5-rated image, but those who decline to view it will never know what they have missed.

Running the included parameter file may not be necessary.  The finished image is likely posted on the FOTD web site at:

       http://www.Nahee.com/FOTD/

Clouds prevailed all day Tuesday here at Fractal Central, but they broke in the west just before sunset, leading to a spectacular light show.  The temperature reached a pleasant 57F 14C.  The fractal cats took things easy until late afternoon, when they began agitating for food.

My day was a very boring average, but then who needs excitement all the time.  The next FOTD will be posted in 24 hours.  Until then, take care, and the fractals will keep coming until the supply is exhausted.

Jim Muth
jamth@mindspring.com


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

Busy-body_Blueness { ; time=0:05:14.45-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.09186130753/+1.498879230002/2387775/\
  1/110/0 params=1.4142/0/41.3/0 float=y maxiter=8400
  inside=0 logmap=362 periodicity=6
  colors=000qPLqPLqPMqPNqPOqPPqPPpPQpPRpPSpPSpPTpPUp\
  PVpPVoQWoRXoSYoTYoUZoV_oW`oXboY`mZ_k_Yh`XfaWdbUacT\
  _dRYeQVfPTfNReMOdKMcJJdJKcILcHLbGMbFMaFN`ENZDOYCOX\
  CPdBPcAQa9Q`9RZ8RY7vW6vV6vU5vS4vR3vP3vO2sM1pL0mK0j\
  M2gN4dO6aP8ZQAXRCYSEYTGYUHYVJYWLYYNYZPZ_RZ`TZaVZbW\
  ZcYZd__ea_fc_ge_ig_ji_kj_ll`mn`np`or`pt`qv`rx`sy_q\
  wZpvZouYnsYmrXlqXkoWinVhmVgkUfjUeiTdgTcfSaeR`dR_bQ\
  ZaQY`PXZPWYOUXNTVNSUMRTMQRLPQLOPKMOJKMJILIGKIEIHCH\
  HBGG9EF8DF7CE6AE59D48D37E58F78FA9GC9HE9HHAIIAIJAJL\
  BKMBKNBLPCLQCMRCNTDNUDOVDOXEPYEQZEQ`FRaFRbFQ`KQ_UP\
  ZcPXjOWcOVUNUKNSCMRCMQCLOCLLBKJBKHBJFBJDAICAIBAIBA\
  HD9GF8GI8FK7FL6EO6EQ5DS4CV4CW3BY2Be2Af1Ag1lh2li3lj\
  4lk5ll6lm7ln8lo9qpAqqBqrCqsDqtEquFqvGqwHqxIqyJqzKq\
  zLqzMvzNvzOvzPvzQvzRvzSvzTvzUzzVzzWzzXzzYzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  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=========================================