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Let Po be an equilateral triangle of area 10. Each side of Po is trisected into three segments of equal length, and the corners of Po are snipped off, creating a new polygon (in fact, a hexagon) P. What is the area of P? Now repeat the process to P, i.e., trisect each side and snip off the corners to obtain a new polygon P. What is the area of P? Now repeat this process infinitely to create an object Px. What can you say about the shape P? What is the area of Pa?
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