Solved: Exercises 13 through 16 refer to the construction of the quadratic Koch island

Chapter 12, Problem 14

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Exercises 13 through 16 refer to the construction of the quadratic Koch island. The quadratic Koch island is defined by the following recursive replacement rule.Assume that the seed square of the quadratic Koch islandhas sides of length a. (a) Carefully draw the figures obtained in Steps 1 and 2 ofthe construction. (Hint: Use graph paper and make theseed square a 16 by 16 square.) (b) Find the perimeter of the figure obtained in Step 1 ofthe construction. (c) Find the perimeter of the figure obtained in Step 2 ofthe construction. (d) Explain why the quadratic Koch Island has infinite perimeter.

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