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The Chaos Game by Michael Barnsley

1, 2. 5, 6. The Chaos Game by Michael Barnsley. Choose a point in the triangle at random Throw the die Move the point half way towards that point Go back to 2. After six throws start marking each point on the OHT with a small dot Keep going. 3, 4. 1, 2. 5, 6. The Chaos Game.

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The Chaos Game by Michael Barnsley

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  1. 1, 2 5, 6 The Chaos Gameby Michael Barnsley • Choose a point in the triangle at random • Throw the die • Move the point half way towards that point • Go back to 2. • After six throws start marking each point on the OHT with a small dot • Keep going 3, 4

  2. 1, 2 5, 6 The Chaos Game Note to teachers: If each group does this on a piece of acetate then the impact will be greater when you superimpose their results onto an OHP 3, 4

  3. Strange AttractorsAn explanation of the Sierpinski Triangle In actuality, the orbit of any point that starts in any of the removed triangles will never “reach” the Sierpinski triangle (S). It will continue to lie in smaller and smaller removed triangles until it looks as though it lies on S. We say that S is a strange attractor. Sierpinski triangle.xls

  4. Constructing Sierpinski’s Triangle

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