Let P_{0}be an equilateral triangle of area 10. Each side of P_{0}is trisected, and the corners are snipped off, creating a new polygon (in fact, a hexagon) P_{1}. What is the area of P_{1}? Now repeat the process to P_{1}– i.e. trisect each side and snip off the corners – to obtain a new polygon P_{2}. What is the area of P_{2}? Now repeat this process infinitely often to create an object P_{∞}. What is the area of P_{∞}?