Let P0 be an equilateral triangle of area 10. Each side of P0 is trisected, and the corners are snipped off, creating a new polygon (in fact, a hexagon) P1. What is the area of P1? Now repeat the process to P1 – i.e. trisect each side and snip off the corners – to obtain a new polygon P2. What is the area of P2? Now repeat this process infinitely often to create an object P∞. What is the area of P∞?

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P 0 is an equilateral triangle of area 10 Each side of P 0 is trisected and the corners are snipped ... View the full answer