; April 15, 1997: Pattern in the Void
;
; pattern
;
; Fractal visionaries:
;
; I just drew a couple of those pseudo-true-color, overlapping fractals.
; What else can I say but, "Wow! they're great!"  But I still prefer my
; formulas simple -- the simpler the better. Attached below is a simple
; Julia formula and par file that takes advantage of the bof60 inside
; coloring option of Fractint. The few minutes it takes to draw it will be
; well worth the effort.
;
; I have always been fascinated by the way "real" world patterns keep
; turning up in various fractals.  I have seen trees, ferns, ice floes,
; among many other patterns.  But the pattern of the attached fractal is
; something entirely new, which has no immediate counterpart in the "real"
; world.  (I enclose "real" in quotes because after 10 years of working
; with fractals I'm beginning to think like Mr. Pickover, and question
; exactly what it means to "exist" and "be real".)
;
; The formula itself is a specialized instance of my JulibrotInvZ formula,
; which I posted previously.  It's curious that as the power of (-Z) gets
; smaller and the outer shape grow simpler, the interior grows more
; complex.
;
; My interest in fractals is somewhat specialized. Although I have the
; means of producing high-definition fractal posters, I don't seem to be
; able to work up enough interest to exert the effort.  I enjoy the search
; and discovery aspect of fractal geometry, seeking new twists in old
; formulas.  The day after I find another "great one", my enthusiasm for
; that particular fractal has exhausted itself.  I file the image away
; never to look at it again, and go searching for the next great one.
;
; It's satisfying to know that I'll never run out of places to search.
;
; Jim Muth
; jamth@mindspring.com
;
; START FORMULA==================================================

Pattern_in_theVoid { ; time=0:00:36.03-SF5 on P4-2000
  reset=1950 type=formula formulafile=basicer.frm
  formulaname=woven passes=t center-mag=0.29668/0.69\
  1194/2.040883 params=0.64888/1.33663 float=y
  maxiter=90 inside=bof60 logmap=yes periodicity=0
  colors=000noeig_d_V_TPVLJQDEL58SIRYVhYYiXajXdkWgkW\
  jlVnmVqnOFqKOlHXgDfaAoX6xSDpPJgMQ_JXSHcKEiBBp38iIK\
  bWWVjfOxrQpiSh`V`TXTKZLB`D2aJ8cOFdULfZSgdYhicjojkt\
  pahoTYoSblQghPleNpbMuZKzWMt_OmdQghSalUVqWPuTXpRdlP\
  _hMVeKQaIMZGHVDCSB7OUUq_Ab`DYbGTcJOdNIeQDgT8hW3sn5\
  kiBbeHV`NMXTESZLTWRUTYVQcXMjYJpZGw_DpXEiUFbRFWOGOK\
  HHHIAEI3BJGBKUBLfBLsBMeEHTGCPHBLIBGKACLA8M9AQBBTDD\
  XFE`HGdJHgMJkOKoQMsSNvUPzWQwUSsSTpQVlOWiMYeKZbI`ZG\
  aWEcSCdPAfL8gI6iE4jB2jC6jDAiEEiEIiFMiGQhHThIXhJ`hJ\
  dgKhgLlaGmWCnQ7o0VTql2kdBeXJ`QSVI_PAhGFEHCOI9YJ6g7\
  BtC8rG5qe0ba1eZ1gV2jR2lN3nHX7HTDIPJILPJIUJE_KAeK6k\
  IU4IPCJLKJGTKC`K7hCdzEVwGMuICr_IcYGeWEfUChSAjQ8lO6\
  mM4ovugbUlDR5FLHHFTJ9dfUscRs`NrYKrVGqSDqP9pM6pDAvn\
  uKcbVULexcgsZhnViiQjcLlZGmUCnP7o7md9gfAagCWiEQjGKl\
  HEmJ8oZ3DR3X8ZOCOYGDg8bBUNhq`nRnkVojZphbrgfsejtdnu\
  baeQQPED91G9DKAQNAaQAmzv5
}

frm:Woven {; Jim Muth
  z=pixel, c=p1:
  z=(-z)^1.05+c,
  |z| <= 100
}

; END PARAMETER FILE==============================================
;