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Jan. 5, 2014: Herringbone Filters Jan. 3 Jan. 6 2014 FOTD Home
Rating A-6, M-6

herringbone filters

Fractal visionaries and enthusiasts:  

Today's image is found in the everyday parent fractal that results when the formula Z^(2.001)+C is iterated 4.7 levels up the hyperladder with no function applied.  This parent is a near-Mandelbrot set rotated 180 degrees so that East Valley falls on the negative X-axis, and the main spike, where even more action is happening, lies on the positive X-axis.

Today we focus our attention on East Valley, which instead of coming to a sharp point, has been broadened into a wedge infested with sickle-shaped debris.  Today's scene lies in this debris.

The coloring is rather chaotic, and both the art and math tricks have been seen before, which holds the ratings of both of them to a routine 6.

The name "Herringbone Filters" has nothing to do with the field of TV repair.  It came to mind when something in the scene reminded me of herringbones.

Most of the coloring effect was produced by rendering the scene with the outside set to 'tdis'.  Other options produce different effects, some of which have potential.

The calculation time of a dragging 11-1/2 minutes will pass slowly even for the most devout fractal fans.  But relief is always at hand on the web sites.

The morning was sunny here at Fractal Central today.  But clouds moved in by noon and by mid-afternoon freezing rain was falling, with a temperature of 28F -2C.  The fractal cats were too busy chasing each other up and down the hallway and tussling to worry themselves with the weather.  The fractal humans were simply glad there was no reason to go out.

The next FOTD will be posted in a matter of minutes, which will also be a matter of seconds, hours, weeks, months or years, depending on how time is measured.  To find the exact numbers, check back at regular intervals.  Until whenever, take care, and a local eight-year-old boy was recently asked what was the best thing that happened to him in 2013.  He replied it was when he got his mini I-pad for Christmas.

Jim Muth
jimmuth@earthlink.net


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

HerringboneFilters { ; time=0:11:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=t
  center-mag=-0.2521599928326848/-0.0019727729038808\
  /2.614896e+009/1/-40/0 params=2.001/0/4.7/0 float=y
  maxiter=8600 inside=0 outside=tdis periodicity=6
  colors=000sfqsivb`pMTj5Le7Oa9RYBUUDWQFZMHaIIcFDfM9\
  iS3ubFlgRdkbWpnOtiKndHi`EdWA_S7VN4QJ1LN8OQFQTMSWTU\
  __XbfZem`hsbkocmlcoidqfdscdu`ewYeyVehWlSXrCYxLSoTM\
  faGYcAP88HUAJ10K02D03MD0NB6O94PA0M54J0AG0AD52A0AC0\
  5E25G55I5Th64eCFaHQYN`VckRmuOrq_lccckcUieKffAdhqvz\
  ipjakaUfTM`KEMB7R28W39U3Ad3Ah3Bl4zz4Du4Dy4Lx9TwEzw\
  JgvOhtQyzzjpUknWllYmj_zhaogbjhceid`jeWjfRkgMlhHmiD\
  miIfiM`iQUiUOiYHiaBie5izAjzEkXJlUNmRSnOWoKdYHwbDgh\
  Awm6es3cx9xtFeqLxnRxjXxgbmdhm`nmYtmVymSwmWvsZuqaso\
  drlhqjkohnnfqmdtkeqiengfkffihdhicgjbfkaem`dnZcoYbp\
  XarW`sV_tTZuSYwRXxQWyPVzOUwQRuROrTLpUInVFkXCiY9`lG\
  `lG_lG_lGZlFZlFYlFYlFYmFXmEXmEWmEWmEVmDVmDUmDUmDTm\
  DTmCSmCSmCRmCRmCQmBQmBPmBPmBPmBQlCQlCRlCRlDRkDSkDS\
  kDTkETkETjEUjEUjFUjFVjFViFWiGWiGWiGXhGXhHXhHYhHYhH\
  ZgIZgIZgI_gI_gJ_fJ`fJ`fJafKafKaeKbeLbeLceLcdLcdMdd\
  MddMddMecNecNfcNfcNfcOgbO }

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