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Koch's Snowflake Investigation Introduction I am conducting an investigation into how Koch's Snowflake is built up. I will investigate how the perimeter and area change with each new shape. On every new snowflake the middle third of every edge is taken out and a smaller triangle is put in its place ( see diagrams at back of project). First, I will investigate how the perimeter increases with every shape. Perimeter I will not count manually the length of each shape's perimeter as this would be hard and inefficient. Instead, I will calculate the perimeter by multiplying the number of edges on the shape by the length of each edge. I have noticed that the number of edges on each shape is multiplied by 4 each time. This is because every time a triangle is added, the side is split into 4 separate edges (see diagram above). I have also noticed that the length of each...

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