[Fractint] FOTD 11-11-05 (A Julia Set for All-1 [6])

11 Nov 2005

      FOTD -- November 11, 2005 (Rating 6)

Fractal visionaries and enthusiasts:

Today's fractal is a Julia set of the southern branch of 
Seahorse Valley of the Z^(2.01)+C Mandeloid as it appears 17 
levels up the logarithmic spiral, where the Mandeloid has split 
apart and rotated about 15 degrees.  The image is a Julia set 
for all, and that is what I named it.  I added the '1' at the 
end of the name because there might be more such Julia sets.

A good part of the image consists of 'inside' stuff brought to 
life by the 'zmag' inside fill option, which fills this set with 
slightly organized chaos.  The end result is a Julia set that 
obviously is connected to Seahorse Valley, but is not quite what 
we expect a Seahorse Valley Julia set to look like.

A curious feature of the image is that its coloring changes as 
the maxiter is raised or lowered.

The rating of a 6 might be a bit overdone, but I rather like the 
image, so the rating will remain.  The render time of 10 odd 
minutes borders on slowness.  Luckily, rendering may be avoided 
by downloading the completed image from the FOTD web site at:

       <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>

A chilly, blustery, 50F 10C day on Thursday here at Fractal Cen-
tral kept the fractal cats unhappy.  But a can of tuna came to 
the rescue in the evening.  Today is starting sunny but quite 
chilly, and there is still a breeze.  The cats will have to make 
do with less than ideal conditions.  My day will likely be close 
to average.  Until 24 hours from now when the next FOTD will 
appear, take care, and relief is on the way.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

AJuliaSetForAll-1  { ; time=0:10:41.25--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC passes=1 periodicity=10
  center-mag=0/0/0.9861933/1/-22.5/3.88578058619e-016
  params=2.01/0/17/0/-0.8075489172/0.039334604022/0/0
  float=y maxiter=1000 inside=zmag
  colors=00030630840A40C50E50G60I60J70L70M70O80P80R9\
  0S90UA0VA0XA0ZD0`G0bJ0cM0dP0eS0eV4gYCh`KidSog_ujcu\
  njuqcHTZBZUAcPAdKBdFCeCCeEDeFDfGEfIEfJFgKGgMGgNHhO\
  HhQIhRIiSJiUKjVKjWLjYLkZMk_MkaNlbOlcOlePmfPmgQmhQl\
  iRkjSjkTilUhmVgmWfnXeoYdpZcq_cq`braasb`tc_udZveYvf\
  XwgWxhVyiUzjUzjTxhTwgTveTudStbSsaSr`SqZSpYRoWRnVRm\
  TRlSRkRQjSQiUQhXQg_OebQfeSghUgkWhnYiq_itajwekzcjza\
  jz_izZizXizVhzThzSgzQgzOgzMfzLfzJezHezFezEdzCezAfz\
  8gz9hz7iz6jz5kz4lz3my1nx2ow2pv3qu3rt4ss4ts5ur5vr6w\
  q6xq7yp7zp8zozzozzozznzznzzmzzmzzlzzlzzkzzkzzjzzjz\
  zizzizzhzzhzzdzzhzzlzzpzztzzxzzqzzkzzezz_zzTzzNzzH\
  zzBzzDzzFzzGzzIzzJzzLzzMzzOzzPzzRzzTzzUzzWzzXzzZzz\
  _zzazzbzzdzzfzzgzzizzjzzlzzmzzo9zrBzpCznDzlEzjFziG\
  zgHzeIzcJzaLz`MzZNzXOzVPzTQzSRzQSzOTzMUzKWzJXzHYzF\
  ZzD_zB`zAaz8bz6cz4dz3fz6hz9jzClzFnzIozLqzOszRuzUwz\
  Xyz_9zL8zJ7zH1zG7zFDzEIzD }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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