Koch Snowflake A Koch snowflake is created by starting
Chapter 8, Problem 8.4.55(choose chapter or problem)
Koch Snowflake A Koch snowflake is created by starting with an equilateral triangle with sides one unit in length. Then, on each side of the triangle, a new equilateral triangle is created on the middle third of that side. This process is repeated continuously, as shown in the figure. (a) Determine a formula for the number of sides of the nth Koch snowflake. Use mathematical induction to prove your answer. (b) Determine a formula for the area of the nth Koch snowflake. Recall that the area A of an equilateral triangle with side s is (c) Determine a formula for the perimeter of the nth Koch snowflake.
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