Fractal visionaries and enthusiasts:

Today's image reminds me of some huge exotic tropical flower, so I named it "Stream of Ideation".  (The connection is admittedly vague.)  The parent fractal was created when, on each iteration, I subtracted 11 parts of Z^(2.1) from 11 parts of Z^(+1.9), then added straight (C).  This parent is a slightly undersized almost-Mandelbrot set rotated 180 degrees so that its west end faces east.  I call it an 'almost' Mandelbrot set because of its two obvious differences.

The most obvious difference lies just beyond the large minibrot on the eastward-facing main stem, where the stem breaks into two branches, each going its own way but perfectly mirrored by the opposite branch.  Another difference exists at East Valley, in this case on the west side of the main bay, where an extra bud has mysteriously appeared in the interior of the valley.

Today's image does not lie in this extra bud, though it is very tempting to see what exists there.  The image lies on the outside of East Valley, where the details are interesting enough.  (This does not mean I am totally ignoring the inside of the bud.  Tomorrow is another day for another fractal.)

The usual minibrot lies at the center of image, with its shape obscured by the active inside fill of 'bof61'.  I used this active fill because half of today's image consists of 'inside' stuff.

The rating of an 8-1/2 includes the usual half-point bonus for the coloring, which really makes the image.

The calculation time of 4-2/3 minutes borders on slowness.  IMO, it is a fair price to pay for the image however.

A mix of clouds and sun and a temperature of 48F +8C made for an acceptable but slightly boring day here at Fractal Central.  We're still waiting for the snow to arrive that will bring a white Christmas.  Unfortunately, it does not appear that any snow is in sight.

The fractal cats were unconcerned about the lack of snow.  They spent much of the day trying to compromise on who gets to sleep on the scratching post and who gets the new chair.  Nicholas chose the chair before Cassie could make a choice, leaving her with the scratching post.

We the people spent the day doing routine things, thinking about the coming holidays and making minor preparations.  One thing we never need to think about is the FOTD, which appears on about 9 days out of 10.  To prove my point, the next FOTD will be the one for Dec. 17, though with an antiquing trip always possible on Saturdays, do not be surprised if it is late.  Until whenever, take care, and did God create Man or did Man create God?  Or are these simply two different ways of saying the same thing?

Jim Muth
jamth@mindspring.com


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

Stream_of_Ideation { ; time=0:04:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.05287552292351617/+0.007267408830356\
  38/2e+010/1/-37.5/0 params=11/1.9/-11/2.1/0/0/0/0
  float=y maxiter=1000 inside=bof61 periodicity=10
  colors=000NrhOjbR`YUSTQLMMFHIBDE7AB37E22J00M00R00U\
  00Y00a0Ae0Gi0Dm0Aq07u06w0Ew0Ly0Qy0Xy0`y2ew3jw4nw6t\
  w7xw8ywAyv8yv7xv6ru4nu3iu2es0`s0Xs0Rs0Nm3Wf7a_BhUF\
  nOJuRNvSRxUVyVYyXayYey_iyakyboycsyewyfzymsirmLwg0X\
  v56zD8zHBzLDvPFrRHnWJjZKfaNbeQZiRVlURpVNtYJvZFyaBy\
  b7y_ExYKpVRhSY`RbTmediabeYbaUaZRabVWfZPibImfCoj5sn\
  0vq0yn1zk7ziGzfMzcUza`zZhzXnzUuzRvzOvvNvrKvnJvjHve\
  EvaDvYAvU8vQ6vM4vUIx_Vyggynuyuzyyqiz_RmJ9c30e40f60\
  g76j89eAI_BLYDUUEXQFeNHhJIqEJtAKv4My0Ny0Ny0My6MyAM\
  vFMtKKqOKnUKfYKdbJWgJMkJDqJ3uJ2f_QSqmEzyAfv6Hi30X2\
  0Z20a02d04e08h0Bj0El0In0Kq0Ot0Ru0Ux0Vy0Uy0Su2Rp3Qi\
  6Od8NZAMTDKNEKIAKD3K70K50K00J00I00H00G00F00E00D00C\
  00B10A109208207206305304504723962A71DA4EB7HFAIHFLJ\
  ILKKLQOPURTYVX__`cebgjfjmmnotrpxuryvsyuryspypmymjt\
  jfnebh_ZbVUYONRKIMFEHABA4870650320300300300800C20I\
  93MG6SM8WTBaXEe`HkdJohMrl }

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