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July 31, 2010: No Minibrot Here July 30
Aug. 1 2010 FOTD Home
  Rating 7

no minibrot

Fractal visionaries and enthusiasts:

Today's image shows an anti-minibrot, or maybe a negative minibrot, depending on what one chooses to call fractal hills instead of basins.  Whatever the thing in today's image is called, it is the opposite of a minibrot.

The area with the lowest iteration count lies at the center rather than at the edges, and the number of elements is arranged in decreasing powers of two as the center is approached rather than in increasing powers of two.

This arrangement makes a mockery of Fractint's automatic logmap feature, which sets the logmap to the lowest iteration count it finds at the edges of the frame.  In today's image the lowest count is at the center, causing the automatic logmap feature to set the logmap to a number that is far too high.

The parent fractal is a normal Mandelbrot set -- normal on the surface, that is.  In its depths, where today's image lies, it is anything but normal.  The deeper one dives into the parent, the more things take on order-16 characteristics.

Today's scene is located in a bit of debris in the main bay of a half-morphed minibrot lying in the trunk of an elephant on the southeast shore line of the large minibrot on the west branch of the filament extending from the period-3 bud on the north shore line of the main bay of the parent Mandelbrot set.  (After reading this guide I doubt I'll ever find the location.)

I named the image "No Minibrot Here".  There certainly are minibrots in the arms, but they lie well beyond resolution.  The rating of a 7 shows that I rather like the image.  The calculation time of 2-1/3 minutes means the image is an efficient one.

The weather was perfect here at Fractal Central on Friday, with a temperature of 82F 28C, low humidity and mostly sunny skies.  The fractal cats made the most of things when they started chasing each other up and down the hallway, filling FC with the rumbling thunder of cat-paws.

My day was uneventful; FL's day was the same.  I hear rumors that an antiquing trip is planned for tomorrow, so if the next FOTD is late, you will know why.  Until whenever, take care, and with all the cameras in circulation, why has no one ever gotten a clear photo of a bigfoot?  Could it be that bigfoot is nothing more than another fantasy, religiously believed by those who want to believe?

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

No_Minibrot_Here   { ; time=0:02:20.87-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=-0.1543020574040948/+1.030334624147516/\
  4.524186e+009/1/50/0 params=16/1e+050/0/0 float=y
  maxiter=1500 inside=0 logmap=162 periodicity=6
  colors=000zczwczwczwcvwcrwcmwchuccscZqcUocPmcKmcGm\
  cBmcAmcCmcEmcFmcHmcJmcKmcMmcOmcPmhRmmRchSccScZScUS\
  cPSZKSZGSZDSZBSU8SU6SU1WU4SU7PU9MOCJOEGKHDGJABM7AO\
  4_fS0rz0rz0rz0rz0rz0rz0rza43a55a67a79a8Ba9CaAEaBGa\
  CIaDJaELaFNaGPaGQ`FU_EXZD`YCcXDgWEjVGnUIqSKvTOtUQs\
  VSrWUqXWpXYoY_nZam_ch`ec`gZaiUckUhmUmoUrrUvqUxoUvn\
  UrmUmlUhkScjQZiSUhQPhNKgLFfJAeG9dE7cB6b95b74_64X64\
  U54R54O44L44I44F34C3492462442885CB7GEAKICOLFLfeMhc\
  NiaOj_PhXUeU_bReYOkSLmMIpGFq3Cr79r86p93pA6nB8lCAjD\
  ChDEfEGdFIcGJaHL_INYIPWJRUKTSLVQMXONZNN_PLaRKbTJdV\
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  iREgREeRDcQCaQBZQBXQAVQ9TQ8RQ8PQ6VU5`Y4fa3le2qi1pj\
  1oj1nj1nk1mk1lk1ll1kl0jl0jm0im0hm0hn0gn0fn0fn3em5e\
  l8ekAejCejFeiHehKdgMdfOdf }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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