April 15, 1997: Pattern in the Void | April 13 | April 16 | 1997 | FOTD Home |

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