The Chaos Game
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|Robert L. Devaney; Dept. of Mathematics, Boston University|
|One of the most interesting fractals arises from what Michael Barnsley has dubbed "The Chaos Game," which is played as follows. First pick three points at the vertices of a triangle. Color one of the vertices red, the second blue, and the third green. Next, take a die and color two of the faces red, two blue, and two green. Now start with any point in the triangle. This point is the seed for the game. Then roll the die... The goal is to roll the die many hundreds of times and predict what the resulting pattern of points will be... the points form what mathematicians call the Sierpinski triangle.|
|Levels:||Middle School (6-8), High School (9-12), College|
|Resource Types:||Games, Problems/Puzzles|
|Math Topics:||Chaos, Fractals|
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