Fractal visionaries and enthusiasts:  

I have heard that my recent FOTD images have displayed a preponderance of deep blue shades, which indicate that my mood could be less than totally cheerful.  So today's image is flooded with brilliant reds, not that this has anything to do with cheerful feelings

Minibrots of the sixth order are usually not very interesting.  To put it bluntly, they all look the same.  But today's sixth order minibrot is quite interesting.  The reason is that it is not exactly of the sixth order and that the parent fractal was calculated at a level exactly one-half rotation up the logarithmic hyper-spiral.  The scene lies at the edge of the infinitely divided short main stem of the parent, which not surprisingly points out along the positive east extent of the X-axis.

I have checked similar areas of near-quadratic fractals in the past, but never a fractal with an exponent of 6.0000001.  The result is today's image, which rates an 8 for the art and a 7 for the math.

The name "Hyperhexabrot" refers to the exponent of Z, which is slightly greater than the integer value 6.

The calculation time of 1-1/2 minutes will cause no distress, and those who do the calculation will have the satisfaction of having created a fractal image that before today no living being has ever seen.  The more humble fractalists can make their lives easier by checking the web sites.

The heavy clouds, brisk chilly winds and temperature of 45F +7C left lots to be desired here at Fractal central today.  The fractal cats would have liked more sun; the fractal humans would have liked less work.

The next FOTD will be posted in a certain length of time.  Until that length of time passes, take care, and try hard to make sense of the puzzling things of existence.

Jim Muth
jimmuth@earthlink.net


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

Hyperhexabrot      { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=BranchCutGenHJ2 passes=1
  center-mag=+1.132468659415935/+0.00000000524514898\
  /1.474085e+012/1/97.75/0 params=6.0000001/0/0/3.14\
  159265358979 float=y maxiter=1600 inside=0
  logmap=216 periodicity=6 mathtolerance=0.05/1
  colors=000p4Po3Ln2Hm1Dm09o8GqJMrWStcYrkcnpmmrzmzzu\
  ozsjzrgzqdzoaznZzmWQkTNjQKhNGgKDfHAdE7cB4b81Z93V95\
  S96OA8LA9HABDBDABEABGABHAAHAAGA9FA9EA8EA8DA8CA7CA7\
  BA5AA59A59A58A57A57A56A55A54A54A53A52A51A52A51A50T\
  kPEOCwhzvczuZstUmsSgrSgqRfpReoQdnQcmPclPbkOajO`iN_\
  hN_gMZfMYeLXdLXcKWbKVaJU`JT_ITZISYHRXHQWGPVGPUFOTF\
  NSEMREMQDLPDKOCJNCIMBILBHKAGJAFI9EH9EG8DF8CE7BD7BC\
  6AB69A58957847746635534423323212111000lJmcFdWCXO9P\
  G6G838jQHiPGhPGhOGgOGfOFfNFeNFdNFdMEcMEbMEbLEaLD`K\
  D`KD_KDZJCZJCYJCXICXICWIBVHBVHBUGBUGATGASFASFARF9Q\
  E9QE9PE9OD8OD8ND8MC8MC8LB7KB7KB7JA7IA6IA6H96G96G95\
  F85F85E75D74D74C64B64B64A539539538437427326325325K\
  14K13K13K12K01Um1Um0Um8Um7Um7Um7cm7cm7cm7cm7cm6cm6\
  cm6cm6mz6mz6mz6mz5mz5mz5mz5mz5zz5zz5zz4zz4zz4zz4zz\
  4zz4zz4zz4zz3zz3zz3zz3zz3zz3zz3zz2zz2zz2zz2zz2zz2z\
  z2zz1zz1zz0zz0zz0zz0zz0zz }

frm:BranchCutGenHJ2     { ; Jim Muth, thanks to Hal Lane
Z=C=Pixel:
Z=log(Z),
Z=exp(p1*Z+p2)+C,
|Z|<100 }

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