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Math and Logic

Stars and Pentagons

We saw in this challenge that when we extend the sides of a regular pentagon long enough, we get a star shape.

We can connect the points of the star to make a larger regular pentagon, and then extend its sides to make another star. This pattern keeps going as long as we want it to.

How are the side lengths of the pentagons and stars related? Would we see any patterns if we kept drawing these shapes larger and larger? Keep reading to see a hint, or jump ahead to today's challenge if you think you already know.

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