Fractal visionaries and enthusiasts:  

In today's image we take a brief break from hyperland and check the parent fractal that results when the formula Z^(1.37)+C is iterated 1.37 levels up the hyperladder with no function applied.  This parent appears as a shapeless main bay with an equally large and shapeless period-2 bud attached to the northwest side.  Today's image is located in a twisting filament just inland of the eastern shore line of the parent's main bay.

I named the image "Crystal Cities" for no apparent reason.

The math interest rates a rather boring 4, the artistic worth, a not much better 6.

The calculation time of a mere 45 seconds will remove some of the disappointment if the image lays an egg.

A rather pleasant day passed virtually un-noticed today here at Fractal Central, with ample sun and a temperature of 75F 24C.  The fractal cat enjoyed the few beams of sunlight that managed to sneak into F.C.  (We get little inside sunlight during the high-sun-angle time of year.)  The humans made the best of things.

The next FOTD will be posted in a matter of hours.  How many hours is yet to be determined.  Until whenever, take care, and get hot under the collar about climate-change-global-warming.

Jim Muth
jimmuth@earthlink.net


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

Crystal_Cities     { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.80267755/+0.71031711/117.094/1/65/0
  params=1.37/0/1.37/0 float=y maxiter=16000 inside=0
  outside=tdis logmap=28 periodicity=6
  colors=000zJnzEozAsz6uz2wy6ys9zlCzfCz7CcUCcOCcJCcD\
  Cc9CcKCcRCY`CHdC4_C1OA0E20500000200605A0AE0GJ0MP0R\
  U0Y_0cd0li0so0yq0wq0wq1wq5wqAwqEwqLwqPwsUus`usfusn\
  ussuszuszuszuUgfRidOn`Lo_HsWEwTCyR9zO6zM4zJ1zH2zG4\
  yG5uG6oG6lE7fE9bEAYEAUE7YG6`G5dH2gH1lJ0oJ0sL0wL0zM\
  0zM0yL1sL4nL7gLCbLEYLJTJMOJRJJWEJ_AJd6Jg4JlADoH9sP\
  5wY1zf0zo0zw0uy0lz0bz0Uz0Mz0Ez07z0Az0Dy0Eu0Hq0Ln0M\
  l0Pg2Td5U`6YY9`WCbTDfPGiMJlJLoHOsERuCTy9Wz6_z`GzdG\
  zfGzgGziGzlGznGzoGzqGzsGzuGzzHzwGzuEzsEzqDznDzlCyi\
  CwgAwd9ub9s`7sb7qd6of6og5ng4lg4lg2ig2gq1lq0gq1fq2b\
  q4`q4_q5Wq6Uz6Tz7Pz9Oz9MzAJzCHzCGzDDzECzGAzG7zH6zJ\
  5zJ2zL1zM0zM0zO0zP0zT0zR0zP0zO2zM6zLAzLEzJHzHMzGRz\
  EWzE`zDfzClzAqz9wzAuz9uz7uz7uz6sz5sz5sz4sz2qz2qz1q\
  z0qz0oz0oz0oz0oz0nz0nz0nz0nz0lz0lz0lz0iz0lz0lz0nz0\
  nz0oz0oz0qz0qz0sz0sz0uz0uz0uz0qz0oz0nz1lz6izAgzGlz\
  MzzHzzHzzHzzHzzHzzGzzGzzG }

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