Koch Snowflake Math Portfolio
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Urvi Mittal Maths SL The Koch Snowflake Stage (n) Number of sides(N) Length of a side(ln)(unit) Perimeter of the snowflake(Pn)(unit) Area of the snowflake(An)(unit2) 0 3 1 3 /4 1 12 1/3 4 /3 2 48 1/9 16/3 10/27 3 192 1/27 64/9 94/243 1. i. Nn - The no. of sides: The relationship between the successive values of the number of sides is that the values increase by 4 times with each stage. The number of sides is directly proportional to the stage number. Nn ? n ii. ln - The length of each side: The relationship between the successive values of the length of each side is that the value decreases by (1/3)n times with each stage. The length of each side is inversely proportional to the stage. ln ? 1 n iii. Pn - The perimeter: The relationship between the successive values of the perimeter is that the value increases to Nn × ln times with each stage. The perimeter is directly proportional to the stage. Pn ? n iv. An - The area: The relationship between the successive values of...


