Fractal visionaries and enthusiasts:  

Today's image nearly duplicates an image I posted several days ago, but this in no way detracts from its worth.  In fact, the scene rates a double 8.  The art earns its rating because of the extra work I put into the coloring, the math because such an unexpected effect exists in such a familiar fractal object.

The image is sliced in an orientation halfway between the Elliptic and Parabolic directions.  The location is off to the side of the East Valley area of the large minibrot on the main spike of the Mandelbrot set.

The image was rendered with the outside set to 'tdis' though this is not responsible for the effect of brush strokes, which is a natural part of the scene.  The name "Brush Strokes" calls attention to this unusual effect.

The calculation time of 10-3/4 minutes is slow by any standards, but the image is worth the wait.  And the online web sites can eliminate the wait completely.

Though it turned out rather chilly here at Fractal Central today, conditions were actually quite acceptable.  With a temperature of 28F -2C and a good dose of sunshine between the clouds, the fractal cats had enough time on their shelf to satisfy themselves.  The humans, who are never completely satisfied, made it through the first full working day of the year without incident.

The next FOTD will be posted soon.  Until then, take care, and if a thermos bottle can hold one liter of water, how much would a Klein bottle of the same size hold?

Jim Muth
jimmuth@earthlink.net


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

Brush_Strokes      { ; time=0:10:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrotSqr passes=1
  center-mag=-1.749999870958464/+0.1116445258229022/\
  2.347932e+008/0.6175/-61.5/52.31619 params=45/90/0\
  /0/0/0/0/0/0/0 float=y maxiter=32000 inside=0
  outside=tdis periodicity=6
  colors=000UUUUOaTSdSWgR`iQdlPinOmqLrtNqsOqrQprRpqi\
  pqUtpVoosxoYnnZnz`nmamlomldmkewkgljhlijeikkhoZkldh\
  icefbbcW_aUX`hYhbZZf_Za`YV`XVaX_bWMcVNdfOdUOzTbfSY\
  gSQgWTd_WabZZfaWidTmgQqhMpiNpiNpiOpaOpiPpiPplQofQo\
  fRooRooRoqSorSosnnqZnocnohnlmnkrnivnizokznevmgrlem\
  lihkccjaZieUicShXRg`QfVQfTPeSPdXOdONcNNbLMaKLaIL`H\
  K_FKZEJZCIYBIX9H_5GX8HUBHRDIOGILIIJLJGNJDQJARK7VK5\
  VK4WM4SN4UP4TQ4SS4NT4PV4PW4KY4LZ0Pb4I_7LXBKUEIYHDP\
  LFWOEUSCQVBDS7ZU0LV07X0EV04V04U04T05S05R05Q05P06O0\
  6N06M07L07J27I3AH48G38F28E19D09C09B09B0AA0A90A80B7\
  0A709A09B3B95DD7EH9GK5HHDJEGLCIM9KO7MP4OR2QS4RT5SU\
  7SV8TWATXBUYDUZEVZGV_HW`IWaKXbLXcNYdOYdQZeRZfT_gU_\
  hV`iX`jYaj_ak`blbbmccnecofdpkfogdpcbp_`qWZqTXqPVrL\
  TrHRsDPs9MrAOsAPsBQsBRsBSsCTsCUsDVsDWsDXsEZsE_sF`s\
  FasFbsGctGdtHetHftHgtIitIjtJktJltJmtKntKotLptLqtIu\
  vLrtNorPlqRioUgmWdlWFXVJ_ }

frm:SliceJulibrotSqr   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z*z+c
  |z|< esc }

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