To construct the snowflake curve, start with an equilateral triangle with sides of length . Step 1

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To construct the snowflake curve, start with an equilateral triangle with sides of length . Step 1 in the construction is to divide each side into three equal parts, construct an equilateral triangle on the middle part, and then delete the middle part (see the figure). Step 2 is to repeat Step 1 for each side of the resulting polygon. This process is repeated at each succeeding step. The snowflake curve is the curve that results from repeating this process indefinitely.


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