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February 10, 2012: Decimal Elephants Feb. 9 Feb. 11 2011 FOTD Home
  Rating 8

decimal elephants

Fractal visionaries and enthusiasts:

I named today's image "Decimal Elephants" because it lies in the East Valley of a Mandelbrot set corrupted in its depths by Z^10 energies.  The exact location is in the 'star' on the rump of the period-19 elephant on the southern shore line of the valley.

I put enough effort into smoothing the colors to reward myself a bonus of a full point, raising an otherwise humdrum 7-rated image to one with a rating of a pretty good 8.

The only trick in the image is the passes=b option, which is the fastest with this particular image.  This option doesn't always work correctly, but when it does, it works great.  It cut today's calculation time from a slow 4-1/2 minutes to a much speedier 2-3/4 minutes.

Uneventful conditions prevailed here at Fractal Central today, with cloudy skies and a temperature of 41F +5C.  Things are expected to become more active tonight however, when snow is expected.  The fractal cats complained briefly about the lack of sun, then took up residence by the heat for the rest of the day.

FL and I had an average day, which might seem boring to youngsters, but is exciting enough for those who have grown beyond the youngster stage.  The next FOTD is due in 24 hours.  Since tomorrow will be a Saturday, there is a chance it could be late.  Until whenever, take care, and Athiests are right when they point out the harm religion has done over the centuries.  But what would we replace it with?  A universal rational view of the world would fail miserably.

Jim Muth
jimmuth@earthlink.net


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

Decimal_Elephants  { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip passes=b
  center-mag=+0.2760591912709121/-0.0067265588677325\
  /4.450124e+010/1/-25/0 params=10/1e+015/0/0/0/0/0/\
  0/0/0 float=y maxiter=2400 inside=255 logmap=459
  periodicity=6 mathtolerance=0.05/1
  colors=000fRsfSsfVpfWpgWphWqiWriXrjXskXtjZsi_sh`qf\
  aoeamcbk`ciYdgXdeVecSfaOg_MgYHhWDiUAjS8jQBjRDjSGjT\
  IjULjUNjVQjWSjXVjXXkY_kZak_dk`fk`ikaklbnlcplcoidof\
  doddoado_dnXdnUcnUbnUamU`mU_mSZmQYkOVgNTdLR`JPYHMV\
  GKREIOCFKADH8BD79A566343129sZ8pX8mV7jT7gR6dP6aN5ZM\
  5WK4TI4QG3NE3KC2HB2E91B7185053021nb6j_5gX5cV4`S4YQ\
  4UN3RK3NI2KF2HD2DA1mU1zZmzUctKSs6Ip5Hm5Gk5Fi4Eg4Df\
  4De4Cd3Bc3Ac39c39b28a27_26Z15Y14X14W13V02U01U00QU1\
  NR0LP0JM0HK0FH0DF0AC08A0670450220fv2cr1ao1_l1Xi1Vf\
  1Tc1R`1OY1MV1KR0IO0FL0DI0BF09C06904602303ST2PQ2NO2\
  LL2IJ1GG1EE1BC199077044022eGD_EBVC9QA8L86F64A43521\
  gwidsfaoc_l`XhZVeWSaTPZRNVOKSLIOIFLGC`zATo7Le57523\
  2lbmi`zgccoXDcWCaUB_SBYRAVP9TN9RM8PK7NI7LG6JF5HD5E\
  B4CA3A83862651431210`UiVPbQLWLHQFCJA8D546icnfakd_i\
  bYg`WdZUccTccRccPccNmcLmcKmmKzmKzmKzzUzzUzzUzzUzzU\
  zzUzzUzzUzzUzzUzzUzzUz000 }

frm:JulibrotMulti2  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*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),
  aa=-(real(p1)-2), bb=imag(p1),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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