; May 30, 1997: At the Limit 
;
; limit
;
; Fractal visionaries:
;
; Today's fractal has a squeezed, uneasy feeling about it.  It is not
; beautiful.  It is a picture of a rather ordinary midget buried deep in
; the northeast corner of the Mandelbrot set.  What makes this midget
; unusual is that I caught it as it was being squeezed by an ever
; decreasing bailout radius, and ready to be swallowed up.
;
; When a midget is very close to the escape radius, (something that can
; happen only when the escape radius is set to less than two), the
; character of its surroundings totally changes.  Instead of lacy chaos,
; such squeezed midgets are surrounded by blobs of color pushing in toward
; them.  The iteration count of these blobs is not in order, but jumps
; around in a random manner, which makes coloring these fractals
; difficult.
;
; This same effect is what makes the tiny midgets far out on the negative
; x-axis so attractive when the bailout is set to 4 and they are therefore
; near the escape radius, and so plain when the bailout is set to 100 or
; so.
;
; The exact bailout setting where a particular midget distorts like this
; is rather critical.  It must be found by trial and error, bracketing and
; closing in on the exact point where the screen goes blank.  It cannot be
; done with the hard-coded Mandelbrot formula because Fractint permits
; only integer values to be entered for the bailout.
;
; The picture takes 25 minutes to draw on a 486-100mhz machine at 640x480
; resolution, and is posted to a.b.p.f. and a.f.p.
;
; Jim Muth
; jamth@mindspring.com
;
; START PARAMETER-FORMULA FILE FOR 19.6==============================

At_the_Limit       { ; time=0:02:29.45-SF5 on P4-2000
  reset=1960 type=formula formulafile=basicer.frm
  formulaname=Mandelbrot center-mag=+0.3511154645682\
  388/+0.4139810894457739/1.624429e+010/1/-95/0
  params=0/0/0.950077/0 float=y maxiter=14000
  inside=0 logmap=1526 periodicity=10
  colors=000KBZ`byKQjsCBMlUHcVCVW7MX9Fk7Ef5DaZyR0vi1\
  je2_b3O_BqF9fK7XO5NTIdKEYOARR6KUN7EI9JDAO8CTduXMZX\
  vAjhBfVCcHD_sWaPp2HbDAQNknCXaJIPQlDecB6LCKobYXY`4m\
  b3V_vzRVaURyFLlKF`O9PTJOrCGv58zei5Bi_HWWNJTT6QPDJM\
  JCTGJZEQQLJHSDZ3LNOJCgHFcRI``LYjOVsvSa1lmDqoOupZyq\
  HXS042ed_WYZUaEMRYCKXWJcMH`CFZGBNBCR7DU3v2J4ctvEfj\
  JU_OGOTp9wcApSBiFCbvvPV_ToC0ISGAKPUnJGWQ_AxJCjJINF\
  GQBFS7EVhYdoeabY_RRZFKYQKhKIeEGb8E_isoOYeCGTt5KC4g\
  s3fe6cT8aGBZTJgMHdGGa9EZ1h72`E2TK3LRvVsGqSBcU7QWwP\
  ChMIVJNHGSYpjIXccLzLHkrb``UZKLY`h`KTZsitTThNXSCSUf\
  D2TDDGDNI66E8DAAK6CRyRC0VG1PM2JSr3FT8OkQZ_MYPJYEGX\
  3Ic3F_FMfBJb7G_utFbeLLRRuH3gGBUFIGEQj_NPOSvV1VMH`O\
  GPKMEGSsmoa`hKPbfOHXLLNIPDFT0Xx2Nj_Pg8yR5`UonCbdIR\
  WNFMSDgPzSTLYqz7bI9`zBZzFtzBPzzTzzxZzEzzzQzrIzkAzc\
  zz0zzHzzuRzzzzrFzkzzcazgzzazzCzzJzzQzzFzzKzzOzzTzz\
  ZzzYzzXzzmzzgzzazzezzbzz`
}

frm:Mandelbrot {; Jim Muth
  z=p1, c=pixel:
  z=sqr(z)+c,
  |z| <=p2
}

; END PARAMETER-FORMULA FILE FOR 19.6================================
;