Mathematics, 22.06.2019 02:00
To construct the koch snowflake, start with an equilateral triangle with sides of length 1. step 1 in the construction is to divide each side into three equal parts, construct an equilateral triangle o the middle part, and then delete the middle part. step 2 is to repeat step 1 for each side of the resulting polygon. this process is repeated at each succeeding step. the snowflake is the curve that results from repeating this process infinitely. let s_n,l_n,p_n represent the number of sides, the length of a side, and the total length of the nth approximating curve, respectively. find formulas for each. show that p_n→∞ as n→∞. sum an infinite series to find the area enclosed by the snowflake curve.