Fractal visionaries and enthusiasts:

It's rare that a parent fractal earns FOTD status, but today's parent is just curious enough to do it.  Several pseudo-minibrots have been posted on the list recently.  Most of these were simply minibrots that were calculated with a non-critical initial value.  Today's Mandebrot fractal is fully critical however, but its Mandelbrot-set status is questionable.

There comes a point where a distorted Mandelbrot set reaches a degree of distortion where it can no longer honestly be called a Mandelbrot set, and I think today's Mandelbrot set has gone beyond that point, and morphed into some other kind of fractal.

East Valley is the only instantly recognizable feature.  Believe it or not, Seahorse Valley is at the southern edge of the main bay, while the northern period-20 bud is as large as the main period-2 bud, which is cut from the main bay by Seahorse Valley.

There is little more to be said about the image, except that, since it is a parent fractal, it obviously holds countless smaller scenes.  One of these will be posted as tomorrow's FOTD.

Unable to decide on a rating for a parent fractal, I let the image go with a puzzling rating of a question mark.

The name "The Most Distorted" is a bit of an exaggeration, since the distortion of today's image may be increased beyond limit by incrementally reducing the imag(p1) parameter.

Heavy clouds and frequent showers characterized Monday here at Fractal Central.  The temperature of 73F 23C was mild enough however to keep things quite comfortable.

The fractal cats passed the day alternating between sleeping and watching for unwanted cats.  My day was uneventful.  The next FOTD will be posted in 24 hours.  Until then, take care, and will the end of the world make history?

Jim Muth
jamth@mindspring.com


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

The_Most_Distorted { ; time=0:00:10.46-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip float=y
  center-mag=-0.15/1.866/0.71/1/8/0 params=1/1.05/-1\
  /-1.03/0/0/0/0 maxiter=1500 inside=0 logmap=yes
  colors=000XN`XN`WO_VO_VOZUOZUOZTOYSPYSPXRPXRPXQPWQ\
  PXQQWPRVORVNRUNRUMRTMRTLRTKRSKRSJRRJRRIRRHSQHSQGTP\
  GTPFTPFTOETODTNDTNCTNCTMBTMBTMCULDULEVLFVLFWLGWLHX\
  KIXKJYKJYKKYKLZKMZJM_JN_JO`JP`JQaJQaIRaISbITbIUcIU\
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  zkFzlGzmIzmKzmMzmOzmQzmSzmUzmWzmYzm_zmazmczmdmmzmm\
  zmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzmizmizm\
  jzmjzmjzmjzmjzmkzmkzmkzmkzmkzmlzmlzmlzmlzWmzXmzXmz\
  YmzZmzZnz_nz_nz`nzanzaozbozcozcozdozepzezQfzQgzPgz\
  OhzOizNizMjzLkzLkzKlzJmzJmzInzHozHozGzzFzzFzzGzzGz\
  zGzzGzzGzzGzzHzzHzzHzzHzzHzzHzzIzzIzzIzzIzzIzzIzzJ\
  zzJzzJzzJzzJzzJzzIzzJzzKzzLzzMzzNQzOQzPRzQRzRRzSRz\
  TSzUSzVSzWSzWTzXTzYTzZTz_Uz`UzaUzbUzcVzdVzeVzfVzgW\
  zhWzhWziWzjXzkXzlXzmXznYzoYzpYzqYzrZzsZztZzuZzuZzt\
  ZztZztZztZzsZzsZzsZzsZzrZzrZzrZzrZzqZzqZzqZzqZzpZz\
  pZzpZzpZzoZzoZzoZzoZznZzn }

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