A Chaotic Process Bringing Rise To Order demonstration: March 31  April 3,1998 WorksInProgress group exhibition at Slusser Gallery, Ann Arbor MI 



Yau Ching rolls the
die as Carol Jacobsen looks on


"I'm
going to show you how to play the Chaos Game. It's very simple to
play, but it has an extraordinary outcome! I begin with a big sheet
of paper with three large points marked on it, labeled 1&2,
3&4, 5&6. Now what I do is I choose a point at random on
the sheet of paper. I'll shut my eyes to do that and now I'll just
wiggle the pen around and dab a point there it is. That's my starting
point. So now what I do is I roll the die, and it comes up with
a 4, and so what I do is I go halfway from my first point to the
big point labeled 3&4. I'll mark that new point that's my
new point. I'll roll the die. This time it comes up with a 5, so
I'll go halfway from my new point to the big dot matched 5&6. I
mark that point on the piece of paper. Now, of course if you do this
you should use a ruler and do things accurately. You need to play
for about 24 hours or longer, and you need to play very fast. And
now I roll the die and this time it comes up with a 3, so I go halfway
from the new point to the big dot marked 3, and that'll be about
here. Now, of course if you keep on doing this for a long time,
what would you expect? You'd expect that you'd get an enormous mess
of dots. But that's not what happens. Something very extraordinary
and different happens...." Michael Barnsley Georgia Institute of
Technology



