Fractal visionaries and enthusiasts:  

Today's image is not a scene in a parent fractal; it is the parent itself.  This parent came to be when I checked to see what would happen when the formula Z^(1.237)+C is iterated 14 levels up the hyperladder.

What happened was hardly overwhelming, but when rendered with the inside set to bof60 and the outside set to tdis, it was interesting enough to rate a 4 for math value and a 6 for artistic value.

The name "The Parent Unleashed" is intentional hyperbole, but it might get a few reluctant fractalists to check the implied wild-animal ferocity in the image.

The running time of the parameter file is 1-3/4 minutes, which is about average, but setting up and running a parameter file is far more complicated than checking the FOTD web sites, where the image is already rendered.

Today brought ample sun along with a fine display of cirrus clouds and a temperature of 68F 20C to Fractal Central.  The fractal cat, now nearing senior cat status, slept through most of it, while the humans busied themselves with human things.

There will be no FOTD for May 18; the next FOTD will be posted most likely on the 19th.  Until whenever, take care, and a lot of people are being injured by . . . so let's pass a law to ban . . . (fill in the blanks)

Jim Muth
jimmuth@earthlink.net


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

TheParentUnleashed { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=floor passes=1
  center-mag=-0.590338/-0.280652/0.6230116/1/-12.5/0
  params=1.237/0/14/0 float=y maxiter=1150
  inside=bof60 outside=tdis
  colors=000G0XRKgVUhYci_ihanhcigecggZfiWfkSemPeoNdq\
  RdsUcuXcw_bzcbzg_zlYzl_zneznjzppzrvzvzzzzzzzzzzgDB\
  gDBgDBgDBhCBhCBhCBhCBhCBgBAfBAeB9dB9cB9bA8aA8`A8_A\
  7ZA7Y96X96W96V95U95T85S84R84Q84P83O73N72M72L72K71J\
  61I61H60G60F60LE1RL2XS3bZ3he4nl5ts6yz6wxAuvDstGqrK\
  opNmoQnnRonRpnRqnRrnRsnRtnRunRvnRwnRxnRynRynRxoSxo\
  SxpSxpSwpSwqSwqSwqTvrTvrTvrTvsTvsTutTutUutUuuUtuUt\
  uUtvUtvUtvUirSZnQOjODfMEeOFePFdRGdSGdUHcVHcXIcYIbZ\
  Jb`JaaKacKadL`fL`gM`iM_jN_kNZmOZnOZpPYqPYsQYtQXvRX\
  wRXxSZwS`wSbwTcwTewTgwThwUjwUlwUnwVowVqwVswVtwXpxY\
  mx_ix`fxbcyc_yeXyfUygTxgTxgTxgTwhTwhSwhSvhSvhSviSu\
  iSuiRuiRtiRtjRtjRsjQsjQskQrkQrkQrkQqkPqlPqlPplPplP\
  plPpmNomLnnJmnHlnFkoDjoBioAimCgkEejGdhIbfKaeM_cNYa\
  PX`RVZTUXVSWXRUYPS_NRaMPcKNeJMgHKiGIjEHlCFnBDp9Cr8\
  At69u5Ds6Hq6Lo6Pm6Tk6Wj6_h7cf7gd7kb7o`7r_7tZ6eFBeF\
  BeFBeFBeFBfEBfEBfEBfEBgDB }

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