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sierpinski triangle chaos game

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"1. Take 3 points in a plane to form a triangle, you need not draw it. 2. Randomly select any point inside the triangle and consider that your current position. 3. Randomly select any one of the 3 vertex points. 4. Move half the distance from your current position to the selected vertex. 5. Plot the current position. 6. Repeat from step 3." from Wikipedia, the free encyclopedia
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