Fractal visionaries and enthusiasts:  

Today's image will be the last until at least February 4.  We're doing a bit of remodeling here at FC.

The image rates a 7.  I'm not sure why I gave it such a rating.  Perhaps it is the most disorganized of all time.  I can spot at least a dozen themes in the scene, all trying to predominate but none winning.  The arc of quadrilaterals, which inspired the name, is probably the most obvious, though several others are giving notable competition.

The parent fractal came about when I combined 10 negative parts of Z^(-1.2) with 0.1 negative part of Z^(-12.2) and added (1/C) on each iteration.  It consists of two well-separated parts.  The main part, which lies at the center, holds a superb fractal 'fan'.  The second part lies well northeast of the main part and consists of a series of rings with a well-defined minibrot within these rings.  Today's scene lies at the northeast edge of the superb 'fan'.

The calculation time of 3-1/2 minutes borders on slowness, but anything worth seeing is worth waiting for (within reason).

Today brought a mix of sun and clouds with occasional heavy showers of snow to Fractal Central.  Luckily, the above freezing temperature of 34F +1C melted the snow about as fast as it fell.  The fractal cat spent most of the afternoon in his watch window, chasing the sun and wondering what all the snow was about.  The humans passed the day finishing the commercial work.

The next FOTD will not be posted before February 4, and maybe not until a day or two later.  Until whenever, take care, and as the millionaire who had just gone bankrupt said, "put the past behind you and look ahead to the future."

Jim Muth
jimmuth@earthlink.net


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

Quadrilateral_Arc  { ; time=0:03:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip
  center-mag=+1.994509076742968/+1.331693835073464/\
  1322976/1/91.75/0 params=-10/-1.2/-0.1/-12.2/0/\
  1000/0/0 float=y maxiter=2400 inside=0
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  amF`oG_pHZrIYsJXuKWvLVxMU }

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