if you give me a big number and say, "the perimeter can never be longer than this", I can tell you exactly how many triangles I need to add, to make the perimeter bigger than that. The interesting part is that the perimeter keeps on getting bigger. Paste some more, add up the perimeter and area. So the process is fairly simple: paste some triangles, add up the perimeter and area. ![]() Here, Sal keeps track of the number of triangles but does not calculate the perimeter. He would have to subtract the edges that are now inside, and add the new edges. When he pastes new triangles, they cover some of the old perimeter. Two ways it gets bigger areĪrea: Adds up the area of of all the triangles. He wants to know how big his snowflake is. For some crazy reason, he's never going to stop. He starts with an equilateral triangle, and pastes smaller triangles to the sides.
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