Fractal of the Day
by Jim Muth

A Midget for Sunday ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- July 10, 2000   (Rating 5)

Fractal visionaries and enthusiasts:

Today brings another very slow midget from a very difficult high-iteration part of the Mandelbrot set.   The midget in today's picture lies in the north branch of the fifth valley of the period-10 radical on the northeast shore of the main bay of the M-set.

I named the picture "A Midget for Sunday" because that's the day of the week on which I found it.   The image was given a small but helpful contrast boost in a separate graphic program.   (I do occasionally permit myself this one bit of fractal impurity.)

I thought I was being liberal when I set the maxiter to 360,000 for today's picture.   But it turns out that even this was too conservative, for even at a maxiter of 360,000, the central midget is not fully resolved.   A maxiter of 500,000 would be more appropriate for this image.

The logmap of -55373 indicates that most of the image is composed of fractal material in the 100,000-plus iteration range.   It is this aspect of the picture that causes the parameter file to render so slowly.   Any render time over one hour demands a download of the image, which may be found on Usenet at:
alt.binaries.pictures.fractals
and on the WWW at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

The fractal weather today turned out to be just about average for these parts in early July.   The temperature of 87F (30.5C) and high humidity made things a but too sultry for heavy outdoor work, but near perfect for light indoor work such as searching for fractals.   The fractal cats slept through most of the midday heat.

The fractosophy went nowhere today.   Not only is it hard to concentrate in hot weather, it's even harder when one has nothing to concentrate on.   Eventually I'll solve the mysteries of existence, but not for quite some time yet.

For now, it's time to shut down the fractal shoppe and call it a night.   Until next time, take care, and fractals will always be a mystery to me.


Jim Muth
jamth@mindspring.com


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

A_Midget_forSunday { ; time=1:15:74.75 -- SF5 on a P200
                     ;  Version 2000 Patchlevel 9
  reset=2000 type=mandel passes=1
  center-mag=+0.33313110839152770/+0.05012066202761432\
  /3.64154e+012/1/20.001 params=0/0 float=y
  maxiter=360000 bailout=25 inside=0 logmap=-55373
  symmetry=none periodicity=10
  colors=000380180<2>0900900C31E75FB9IGEJKIKOMNU<3>aUj\
  eVniYtmZxnezp`zpXyqRxqNusJtsEqt9pt5mu0lu0iu0hw0fw0fx\
  0e<2>y8dyBdyCdzFb<4>zS`zV`zX`zZZ<3>ziYzlXznXzpXznVwn\
  UqmSlmS<2>XlORpOMqNGwM9yKBwM<3>BlMCiMChM<2>C`NNZNUYN\
  `YN<2>tUNmSNfRO`QOUQONOOGNOGMOGJOGGOGFOIEOICOIBOICOJ\
  FO<3>KGNKGNMGNMGNMIN<2>NINOONOONOONQONQQN<3>RQNRRMRR\
  MSRMSRMSRMUSMUSMUSMVSMVUMVUMXUMXUMXSMYRMXQMVOMUNM<11\
  >UONUONUON<2>UONUONUQN<28>VRNVRNVRN<2>VRNVRNXSM<10>X\
  SMXSMXSM<2>XSMXSMXUM<33>YVMYVMYUM<9>YUM
  }

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


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