Fractal visionaries and enthusiasts:  

From a distance the little minibrot at the center of today's image may look quadratic, but it certainly is not.  It is of order 1.5 and lies in a parent fractal that resulted when I iterated the expression Z^(1.5)+C at a level 33 levels up the hyperladder with no function applied.  The name "It's Not Quadratic" confirms the apparent discrepancy.

This parent is shaped quite like the minibrot in the image, and is oriented so that the large period-2 bud points out to the south.  Today's scene is located in a sprawling chaotic spiral just inland from the southeast shore line of the parent's main bay.

I intentionally set the logmap about 25 levels too high.  Doing this created a flat background that could be given any color I wished.  For various reasons I chose solid black.

The art rates a 7, mostly because of the flat black background.  The math rates a 6, since the math trick is so old that it is hardly a trick any longer.

The calculation time of 1-1/2 minutes is fast enough.  But visit the web sites for an even faster way to view the image.

Lots of clouds with only a few breaks of sun spoiled the day here at Fractal Central.  The brisk north wind and temperature of only 54F 12C made things even worse.  The fractal cats endured the discomfort with only minor complaints.  The humans had no complaints at all -- we were too busy.

The next FOTD will be posted in about 24 hours.  Until then, take care, and let's avoid discussing religion, politics or philosophy for a few days.

Jim Muth
jimmuth@earthlink.net


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

It's_Not_Quadratic { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.7796928496537461/-0.5595061592029913\
  /3.314487e+008/1/112.5/0 params=1.5/0/33/0 float=y
  maxiter=2400 inside=0 logmap=162 periodicity=6
  colors=000000SafRWfPQfOKgMEgLGgKKgPPpUUxWZvXcuYhtZ\
  ms_or`qqctphwpmznrzjjzgdoddgadeZdUmdUmdUmdKmdKmdKm\
  dKmdKzdKzdKzdKzZKzUKzPCzQKzRKzUKzWKzZKz`KzcQzePzfQ\
  zgRzgRzhSzhSmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmz\
  cmzcmmcmccmUcmKcmIcmLcjOcgRccTc_WcXZcTacPdcMfcIidE\
  leBof7qg4kf8eeB_dEVdHTaKR_NPYPOWSMUUKRXIPZHNaFLdDJ\
  fBGiAEk8Cn6Ap48s36u5At6Dt7Ht9KsAOsBRsDVsEYrFarHdrI\
  hrJkqLoqMrqNuqe_ZwEHpHOiJUbL_WNeQPkTSjWVjYYi`_icbi\
  eehhghkjhmmgppgsrguufxxfzzfzzazzWzzR4mMFmPQmS`mVjm\
  YlmVnmTocQqcOscMtcJvcHwcFvcGucHtcHscIreJrkJllGflE`\
  lCWlAZfC``EccGecIhcKjcMlcN8hxHhyKhhPcbUcXXcVZcTacR\
  cePehNhjLjmJloHhoFdoE`oDYoC_nBanBczAezAizAjz9kz9lz\
  8mz8nz8oz7pz7qz7rz6sz6tz5uzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  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=========================================