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Sierpinski triangle

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The Sierpinski triangle, named after Wacław Sierpiński, is formed by parity of Pascal's triangle, coloring a cell black if odd and white if even.

It is Rule 90 (Binary: 01011010) in 1-D Binary CA.

Image:Sierpinski.jpg

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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