Game of Chaos

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Chaos Game

Deutsche Version
The Game of Chaos

$chaos,game,fractal,Sierpinski,education$ The rules:

Choose a random starting point (o) within the triangle ABC.

Shoot dice.

Connect the point
with edge A, when you got 1 or 2 spots,
with edge B, when you got 3 or 4 spots,
with edge C, when you got 5 or 6 spots,
and determine the center of the distance. This is the new point to continue.

Go to 2.

How will the points be distributed in the triangle ? As shooting dice is random, the points must be scattered "chaotically". Right or wrong ? ?

Play now ... !

Yes, I've got plenty of time / patience / geometric imagination
Yes, I've got some time / patience / geometric imagination
Yes, I've got only little time / patience / geometric imagination
Yes, but I haven't got very much of any of those qualifications.

Interesting links "Chaos and Fractals":

Center for Complex Systems and Visualisation, University of Bremen
http://www.lehrerakademie.uni-bremen.de/index.html
The Dynamical Systems and Technology Project at Boston University (Robert L. Devaney)
http://math.bu.edu/DYSYS/index.html
My animated fractals and more links
Feigenbaum Fractal
More Java applets

Last modified: 2006, Jul 21

Deutsche Version	The Game of Chaos
$chaos,game,fractal,Sierpinski,education$	The rules: Choose a random starting point (o) within the triangle ABC. Shoot dice. Connect the point with edge A, when you got 1 or 2 spots, with edge B, when you got 3 or 4 spots, with edge C, when you got 5 or 6 spots, and determine the center of the distance. This is the new point to continue. Go to 2.
How will the points be distributed in the triangle ? As shooting dice is random, the points must be scattered "chaotically". Right or wrong ? ?