Let P denote the perimeter of the seed triangle of the Sierpinski gasket. (a) Find the

Chapter 12, Problem 22

(choose chapter or problem)

Let P denote the perimeter of the seed triangle of the Sierpinski gasket. (a) Find the perimeter of the gasket at step N of the construction expressed in terms of P and N. (Hint: Try Exercises 19 and 20 first.) (b) Explain why the Sierpinski gasket has an infinitely long perimeter.

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