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October 16, 2012: Forever Onward Oct. 8 Oct. 17 2012 FOTD Home
 Rating 8

forever onward

Fractal visionaries and enthusiasts: 

Today's image came about when I combined Z^2 with 0.2 parts of Z^3 on each iteration before adding a very unusual log(c).  Since the MandAutoCritInZ formula is meant to produce Mandelbrot images, we are actually using the logarithm of the pixel.

The resulting parent fractal is little more than a tiny series of bays spread along the X-axis.  Today's scene is located in the East Valley area of a prominent minibrot just north of one of these bays.

The name "Forever Onward" suggests the unending detail of fractals.

The rating of a solid 8 owes a full point to the coloring, which I spent nearly an hour getting almost just right.  The image is one of those rare ones in which a negative logmap gives the best coloring.

The calculation time of 45 minutes is excessively slow, but luckily, viewing the image on one of the web sites will reduce the delay of enjoyment notably.

Pleasant autumn weather prevailed here at Fractal Central today, with partly cloudy skies and a high of 59F 15C.  The remaining fractal cat, Nicholas, passed most of the day on the shelf in the southwest window, watching the world go by, probably remembering Cassie.

When Cassie was here, she would sometimes hide then suddenly dash out and surprise Nicholas, causing him to leap into the air and get a bristled tail.  Monday evening while Nicholas was walking peacefully down the hall, he suddenly leaped into the air and his tail bristled as though Cassie had just surprised him.  Science (at least the skeptics) say there are no such things as ghosts, much less cat ghosts.  They say belief in unseen things such as ghosts is an outdated superstition carried over from a less enlightened era.  Apparently Nicholas has not heard the news however.

The humans made it through the day with nothing going wrong, which is easier said than done.  The next FOTD will be posted whenever it is posted.  Until whenever arrives, take care, and if I had created the world, I certainly could have done a better job.

Jim Muth
jimmuth@earthlink.net


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

Forever_Onward     { ; time=0:45:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=log passes=1
  center-mag=+0.04926340855299391/+0.008282418603709\
  65/3.21828e+009/1/-15/0 params=1/2/0.2/3/0/0/0/0
  float=y maxiter=8400 inside=0 logmap=-894
  periodicity=6 mathtolerance=0.05/1
  colors=000KKaLK`MK_NKZOKZPKYQKXRKWSKVTKVUJUWITYGS_\
  FSaDRcCQeAPg9Pj9Ll9Im9Fn9Cq99t96q86n76k66h56e46b36\
  _26X18U1AR1BO1DM1EO1GR0IT0JW0LY0M`0Ob0Pf7MiDJlJHoP\
  ErVBu`9tbDtcGtdJteMtfPsgSshVsjZskasldrmgrnjromrppr\
  qsmkrieqe`qf_pgZphYphXoiWojWokVnkUnlTnmSmnSmnRmoQl\
  pPlqKlqKlmKhiKdeKaaKYYKUUURQUPNUNKULHUKEUIBUG8UF9U\
  GAUHBUHCUIDUJEUJFUKFcLGcLHcMIcNJcNKcOLcPLcPKmRJmTI\
  mVHmXGmZFz`EzbDzdCzfBzhAzjAzkWzepz_rzZtzYzzYzzXzzW\
  zzVzzUzzUzzTzzSzzRzzQzzQzzPzzOzzNzzMzzMzzLzz1zzKzz\
  JzzIzzIzzHzzGzzFzzFzzEzzDzzCzzBzzBzzAzz9zz8zz7zz7z\
  z6zz5zz4zz3zz3zz2zz1zz0xz8uz7rz7pz6zz6jz6hz5ez5bz5\
  `z4Yz4Vz4Tz3Qz3Nz3Lz2Iz2Fz2Dz1Az17z15z02z0_z77zB6z\
  A6z95z95z85z84z74z74z63z63z53z42z42z32z31z21z21z10\
  z10z0Qz1Pz0Oz0Nz0Nz0Mz0Lz0Kz0Kz0Jz0Iz0Hz0Hz0Gz0Fz0\
  Ez0Ez0Dz0Cz0Bz0Bz0Az09z08z08z07z06z05z05z04z03z02z\
  02z01z00z0rzapz_nzZlzYkzX }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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