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April 12, 2013: Floating Continents April 10 April 14 2013 FOTD Home
  Rating 7

floating continents

Fractal visionaries and enthusiasts:  

Today's image is a trip into the world of close-to-linear fractals.  The exponent of Z is 1.009, which is not quite linear but close enough to give a good idea of how things might go as the exponent approaches ever closer to unity but never quite reaches it.

I gave the image the unlikely name "Floating Continents".  The inspiration most likely was a painting by Magritte, which depicts large chunks of landscape floating in a vast empty space.

The parent fractal is another of those very low order torpedoes, with today's scene located in a bit of debris at the edge of the nearly featureless main bay.  There might possibly be minibrots hidden somewhere in this debris, but so far I have found none.

The rating of a 7 is only average; the calculation time is an annoyingly slow 13 minutes, but this annoyance can be avoided by checking the finished image on one of the FOTD web sites.

Rain with occasional grumbles of thunder hung on most all day here at Fractal Central, while the temperature stopped short at a rather chilly 50F 10C.  The fractal cat wanted more sun but satisfied himself with more food instead.  The humans wanted less rain.

The next FOTD will be posted in a number of hours.  The question is the exact value of that number.  Until whenever, take care, and why have those 'end of the world' shows become so popular on TV?  Could it be that people are disturbed by what they see coming in the not-too-distant future?

Jim Muth
jimmuth@earthlink.net


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

FloatingContinents { ; time=0:13:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-3.893895417262991/-1.242689299920607/\
  1.939e+009/1/-177.7/0 params=1.009/0/2/3500 float=y
  maxiter=3600 inside=255 logmap=-1238
  periodicity=6 mathtolerance=0.05/1
  colors=000rzztycsxGrwGqvGtucrtGnsGmrIlqGkpFjqEinDh\
  mCglAfk9ej8di7ch6bg5af6`e6_d7Zc7Ya7W`8V_8UZ8TY9SW9\
  RV9PUAOTANSAMQBLPBKOBINCHMCGKCFJDEIDDGDBEEABE99E87\
  F75F71D64F76H88I9BKBDLCFNDIOEJQFKRHLTINUJOWKPXMRZN\
  S_OTaPVbQWdSXeTYgU_hV`jXakYcmZdn_ep`fqadrbcrcard`r\
  dZseYsfWsgVshTshStiQtnFznEznDznCzuFzqDznCzkBzhAze9\
  zb8z_7zX6zU5zS2zR4zR5zR7zR8zRAzRBzRDzQEzQGzQHzQJzQ\
  KzQMzQNzPPzPQzPSzPTzPVzPWzPYzPZzMWzKTzIQzGNrEKsBHt\
  9Eu7Bv58w07z26y36x56w66v86u96uB6tC6sE5rF5qH5pI5pK5\
  oL5nN5mO5lQ4kR4kT4jU4iW4hX4gZ4g_4fa3eb3dd3ce3bg3bh\
  3aj3`k3_m2Zm2zm2zm2zm2zm2zm2zm1zm2zm2zm3zm3zm4zm4z\
  m5zm5zm6zm6zm7Vm7Vm8Vl8Vl9Vk9VjAViAzhBzhBzgCzfCzeD\
  zdDzdEzcEzbFzaFzaGz`Gz_HzZHzYIzYIzXJzWJzVKzUKzULzT\
  LzSMzRMzQNzQNzPOzOOzNPzMPzMQzLQzKRzJRzISzJRzJRzKRz\
  KRzKRzLRzLRzMRzMRzMRzNRzNQzOQzOQzOQzPQzPQzQQzQQzQQ\
  zRQzRQzSPzSPzSPzTPzTPzUPz }

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