Fractal visionaries and enthusiasts:  

Today's image lies in the same area of the same parent fractal that gave us yesterday's image, though it is located deeper in the parent's East Valley than yesterday's.  It would have rated a 9 if it had not been a virtual repeat, but the actual rating of 8-1/2 is still high enough to do justice to its dark somber mood.

Once again, there is no minibrot lurking at the center of the image, which apparently continues down forever, with the number of arms increasing in the same irregular manner.  In fact, I have yet to find a single minibrot in any of the strange higher-dimensional parts of the HyperMandelbrot set.  This is really not surprising, since HyperMinibrots would be four-dimensional and unable to be squeezed onto a flat 2-D screen without huge distortion.

The name "Variation" points out that the image is a variation of yesterday's theme, rather than something new.

The good news is the fireball calculation time of 40 seconds, which will be cut substantially if the parameter file is run on one of the present-day multi-processor hot-rod units that the Fractint program cannot yet (if ever) take advantage of.  The not-so-secret path to total freedom from parameter-running chores lies on the FOTD web sites, where fractal enlightenment abounds.

The day began with dense fog here at Fractal Central.  The fog lifted later in the morning, but the sun had a hard time breaking through higher clouds.  We did have enough sun however to raise the temperature to 73F 23C, which made the fractal cat happy even from his lookout post inside FC.  The humans had one more in the apparently endless string of normal days.  But this does not imply boredom.  After all, who needs sensational happenings in their daily lives when there is quite enough sensation coming from the mass media.

The next FOTD will be posted in a nominal amount of time.  No temporal anomaly is implied however.  Until next time, take care, and mythological stories are symbols that, when properly understood, describe the spiritual world; just as mathematical expressions are symbols that, when properly understood, describe the physical world.

Jim Muth
jimmuth@earthlink.net


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

Variation          { ; time=0:00:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=HyperMandelbrot2 center-mag=+0.2564007\
  14981565/-0.000985574462821/3.572718e+007/1/-90/0
  params=0/0/0/0/0.9/0/1e-020/0 float=y maxiter=1000
  inside=0 periodicity=0
  colors=000eFLfIKiKJkMIlOGnSEpWDrZCscBvfAyk9zo8zr9z\
  u6GCQEDMDEJBEF9FC8G95I50O14J3BF4GC5O88V49f1Am0Bh2F\
  d6J`AMXEQTJUQMZOScKXfI`kFeo9kyDisGinKiiOidSi`WiWZi\
  SchMfhIkhEohAsh6xh2zn0zh0xd1sZ3oW6kS9fMBcJDZFGWBJS\
  8LO4PK0SG0UD0UE0XF0YF0ZG2`G5aI9cJCdJEeKIfKLhLPkMSl\
  MWnOZoOcpPerQisQnuSrv2k`Sux0yX0pW0iW0cU0XU2QT4KT6E\
  S99SB3QA0UC0QE0OF0LI0IK0FL0DO0AQ08S05U02X00W00Y00Z\
  53`B9cGEdMKeUQh`Xifckniizuluonnipfdr`ZsUUvOPxIKz9D\
  yCGyEKxGMxKQvMUzTZvPXsKYrLWpLUoMTnMSlOQlOPkPMiPLhQ\
  KfQJeSIcMCeSGfWLh`QidWki`lnenrkoofoncolZoiWohSofOo\
  dKocIoaEoZBoY8oX4oU1oT0pP0sS0vU0yX0zZ0za0zd0zf1zi2\
  zk2zn3zp4zs5zv5zy6zz8zz9zz9zz6zz4zz3zz100000210320\
  430540650760860970A82BA4DC6EE8FGAGJCIIFKIILGLMGOOF\
  RPFUQIWTKYWM_YPaZQcaTedWgfYihZkk`mncoofrriuukwxnxy\
  pzzszzuzzsszqpylorghsd`p`JnYDkU8hQ2eL0`H0aD0Y80Q60\
  H40E11D23CA5GG6LO9PWBOdDM }

frm:HyperMandelbrot2 {; periodicity must be turned off
a=(p1),b=(p2):
q=sqr(a)-sqr(b)+pixel,
b=(p3+2)*a*b+p4,
a=q,
|a|+|b| <= 100 }

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