Fractal visionaries and enthusiasts:

Maybe I'm losing my ability to find fractals.  Either that or I am becoming a lot more critical in my older years (which are piling up far too fast).  There was no FOTD for June 20 because I could not find one that satisfied me.  Today's image doesn't really satisfy me either, but to avoid skipping two days in a row, I gave the colors a minor tweaking and let it go.

As the one-googol value of imag(p3) shows, the image is an evaporated one.  The parent fractal came about when, on a whim, I combined 2.2 negative parts of Z^(-5.5) with 5.5 negative parts of Z^(-2.2) and added (1/C) on each iteration.  This parent vaguely resembles a Mandelbrot set with its main spike facing northeast.  Today's image is located at the northern edge of the obviously critical area in the northeastern part of the parent.

I intentionally gave the image a rating of a lowly 4.  Its flaws are too numerous to mention.  But it still might be worth the 3-3/4 minutes required to calculate it, if only to illustrate one of the thousands of fractals I find which usually never make the grade.

The name "Total Failure" is blunt, but accurately states my opinion of the image.

Those who wish to spend 3-3/4 minutes for little reward can run the included parameter file and be patient.  I recommend checking the web sites however.

Today brought the second consecutive day of blazing sun and heat that reached 95F 35C to Fractal Central, causing the fractal cats to stretch out to record lengths and the humans to do a record amount of nothing.  In the evening a few showers appeared on the horizon, but remained far away.  The next FOTD will be posted whenever I find one good enough.  Until then, take care, and why do colonies of ants always come up on the sidewalk rather than in the grass?  My guess is that they do appear in the grass, but we don't notice them when they're in the grass.

Jim Muth
jimmuth@earthlink.net


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

Total_Failure      { ; time=0:03:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip
  center-mag=+0.4027689074369498/+1.233832091437321/\
  4.760246e+010/1/17.5/0 params=-2.2/-5.5/-5.5/-2.2/\
  0/1e+100/0/0 float=y maxiter=1000 inside=bof61
  colors=000Hc_Gc_Fc`EcaEbaDbbCbcBbcBadAae9ae8af8af9\
  `dA_cBZbBYaCY_DXZDWYEVXFUWFUUGTTHSSHRRIQQJQOJPNKOM\
  LNLLNKTPE`R9gS3oU0vV0sX0qY0oZ0m`0ka2ib3gd5ee7cf8ah\
  A_iCYjDVlFTmHRnIPpKNqMLrNJtPHuRFvSDxUByW9zXAyWAxWA\
  wWBvWBuWBtWBsVCrVCqVCpVCoVDnVDmUDlUDkUEjUEiUEhUEgT\
  FfTFeTFdTFcTGbTGaSG`SG_SHZSHYSHXSHXSJYQKYPLYNMYMNY\
  KOZJPZHQZGRZFSZDTZCU_AV_9W_7X_6Y_5Z_3_`2``0a`0b`0c\
  `0d`0f_2h_9iZFkZMmYTnYZgSX`NWUHVNCUG6T91SB3TD4TF6U\
  H7UJ9ULAVNCVODWQEWSGWUHXWJXYKY_MYaNYbOZdQZfR_hT_jU\
  _lW`nX`oY`iRScLJYFAS91N30P20R20S20U20W20X20Z20`20a\
  20c20e20f20h20j20k20m20n20k20h20f20c20`20Z00X00W00\
  V00T00S00R00Q00O0070870800800800800000800000800000\
  8008708708708708706704701700700C20F40H63L88MADNAIO\
  BNPBSQBXSBaTBfUCjVCnWCnYCnZDn_Dn`DnXDnUDnQEnMEnIEn\
  JEnKEnLGnLInLKnQMnVOn`QneSnjUOjWNjYNk_MkaLkbLkdKkf\
  JlhJljIllHlnHlpGmrFmtFRjP }

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