Fractal visionaries and enthusiasts: 

Today's image is a venture into the fractal that results when the formula Z^(2.25)+C is iterated at a depth of one level down the hyperladder.  The parent fractal appears as a large bay split along the X-axis, with prominent period-2 buds on the northwest and southeast sides.  The image is located near the west edge of the main bay in some debris just north of the X-axis.

The name "Patches and Spots" refers to the curious circular elements filling the frame.

The rating of a 6 indicates only slight satisfaction.

But the fireball fast calculation time of a mere 30 seconds will pass well before boredom has a chance to set in.

A pleasant partly cloudy day was fully appreciated by all those here at Fractal Central today.  The temperature of 79F 26C was right in the middle of the comfort range, and was made all the better by the lower humidity.  The next FOTD will be posted before long.  Until then, take care, and don't be discouraged by the human condition.

Jim Muth
jimmuth@earthlink.net


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

Patches_and_Spots  { ; time=0:00:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident
  center-mag=-0.7364825061/+0.0949250143/2823/1/\
  -147.5/0 params=2.25/0/-1/0 float=y
  maxiter=1500 inside=0 logmap=31 periodicity=6
  colors=000EY`EVaESaGUbIWcKYcL_dNadPceQeeSgfUigVkgX\
  mhZoh_qiasjfupjwzmzzSbdFFY20R3BO3DL3GI6ELACPFFUKIU\
  PLUUMUPNUKNPFOKAQK8SL9SP9UTAWXAX`BYdBZhCZlC_pD`tD`\
  wKqsOoiRn_UmQXlGUcFSWEQNDOFDOJFOMHOQJOTLOWNO_PObRO\
  fTOiVOlXOpZOs`OvbSr_VoXZlVaiSeePhbNl_KoXHrUFnXGjZG\
  gaGccG_fGXhGTkGQmGMpGIrGFuGBwG8yGDvHHsHLqHPnITkIXi\
  I`fJdcJhaJlZKpWKtUKsSLsRMsQNsOOsNOsMPsKQsJRsISsGSs\
  FTsEUsCVsBWsAWrBUqCTqDSpERoFPoGOnHNnIMmJKlKJlLIkMH\
  jNFjOEiPDiQCkUDlYEmaFoeGpiGqmHsqItuJuxJvizwVzxGzy2\
  zw6zv9zuDzsGzrKzqNzpRznUzmYzl`zkdzigzhkzgnzfqzcjz`\
  czYXzVQzSJzQCzREzRGzRIzSJzSLzSNzSPzTQzTSzTUzTVzTUz\
  TTzTTzTSzTSzTRzTQzTQzTPzTPzXWz_azbgzemz`jzWhzSezNc\
  zJazNZzQWzTTzWQz_NzbKzeHzhFzfDzeBzc9zb7z`5z_3zY1zX\
  0zY2zY4zY6zY8zYAzZCzZEzZGzZIzZKzZLzZJzZHzZGzZEzZCz\
  ZBzZ9zZ7zZ6z`7za7zb7zd7ze7zf7zg7zi7zj7zk7zm7zn7zo7\
  zp7znBzlFzjJzhNzfQzEdzEaz }

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