Koch Snowflake

Transcript

Koch SnowflakeAnother example of a fractal is Koch Snowflake Unlike the Sierpinski fractals where we removed area, the Koch Snowflake adds area. Every single straight line segment is replaced by 4 smaller line segments in the shape of a bump (_/\\_). It looks like To make it, we follow this rule: Take an equilateral triangle Take every straight line on your shape and apply this rule: Divide the line segment into 3 equal parts. Erase the middle part. In the empty space, draw two new lines of the same length to form an outward-pointing bump (specifically, it forms the sides of a smaller equilateral triangle). Visually, a straight line _ _ _ turns into a bump _/\_. Now look at your new shape. It has 12 smaller straight lines. Apply the exact same "Bump" rule to every single one of those 12 lines. Then, repeat that exact same process for every solid line segment Let’s try to make one Now, let’s do some questions