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March 19, 2013: Hyper-Minibrots March 18 March 20 2013 FOTD Home
 Rating 7

hyper-minibrots

Fractal visionaries and enthusiasts:  

Today's image shows what I take to be parts of minibrots in an East Valley section of the Hypermandelbrot set.  Since the HyperMandelbrot set is four-dimensional, its minibrots must be four-dimensional also, which means it will never be possible to show all of one on a flat two-dimensional screen.

The name "Hyper-Minibrot" simply describes the image.  The rating of a 7 indicates that I did too little work on the colors.

The calculation time of 1-1/4 minutes will pass quickly enough considering that a 2-D slice of an 8-D object is being calculated.  But calculation may be avoided entirely by checking the web sites.

Yesterday's snow made a quick exit from the Fractal Central area today when the temperature reached 48F +9C under partly cloudy skies.  The fractal cat, now in the senior cat category, passed the afternoon sleeping on top of his tall bookcase, while the humans finished the work.

The next FOTD will be posted in 24 hours.  Until then, take care, and have a good day.

Jim Muth
jimmuth@earthlink.net


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

Hyper-Minibrots    { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 center-mag=-0.6555077\
  854/0/39173.06 params=0/0.3/0.3/0/1.5/0/1e-045/0
  float=y maxiter=5000 inside=0 logmap=181
  symmetry=xaxis periodicity=0
  colors=000m_am``l``k`_k`_j`ZiaZiaYhaYgaXgaXfbWebWe\
  bVdbVcbUcbUbcTbcTacS`cS`cR_dRZdQZdQYdPXdPXeOWeOVeN\
  VeNUeMUeMTcLTbLT`LT_KTYKTXKTVKTUJTTJSRJSQJSOISNISL\
  ISKISIHSHHSGHREHRDGRBGRAGR8GR7FR5FR4FR3FS4GT5HT6IU\
  7IU7JV8KW9LWALXBMXBNYCOYDOZEP_FQ_FR`GR`HSaITaITeJS\
  hLSkMSjKTjITiGUiFUiDUhBVh9Vh8VfAUeBTdCSbERaFQ`GP_H\
  P`IQaIRbISbJTcJUdJUdKVeKWfKXfLYgLYhLZhM_iM`jMahMah\
  K_gJZeIYdHXbGVaFU_FTZGSXHRWIPUJOTKNRKMQKLRKESK7TK0\
  VK2WK4YM6ZO8`Q9aSBcUDcUFcUHcUIcUEcUBcU7cR4cQ1cP2cO\
  3cO3cN4dM5cM5aL6`L6_K7YJ8XJ8VI9UHASHARGBQGBKC6F92E\
  D7EGCDJHDMLDPQCSVCV_CYcB`hBcmBfqAij8ld7oYjZcj`djbd\
  jcdjeejgejieligjjeijcgjafj`dkZckXbkc`kc_kcYlcXlmVl\
  mUlmTlmRmwQmwOmwNmwMmzNkzOizOhzPfzPezQczQbzR`zR_zS\
  YzTWzTVzUTzUSzVQzVPzWNzWMzVLzVLzUKzUKzTKzTJzSJzSIz\
  SIzRIzRHzQHzQGzPGzPGzPFzOFzOEzNEzNEzMDzMDzDLzMDzV3\
  zU5zU7zT8zTAzTCzSDzCaz9Zz }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

END PARAMETER FILE=========================================