This year with my Year 10 class I decided to build a fractal christmas tree as given on Think Maths. However, before getting into the making, I wanted to explore the world of fractals with the class a little bit first.
I started by looking at the Koch Snowflake, and we found this by constructing it. We started with an equilateral triangle that had side length 9cm (a little revision of constructions), and then split each side into three 3cm sections. On the middle of each of these sections, we constructed a new 3cm equilateral triangle. Now we split each 3cm side into three 1cm sides, and again constructed a 1cm equilateral triangle in the middle section on each side.
The first 6 iterations of the Koch Snowflake
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Self-similar nature of the Koch Snowflake
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We then discussed the nature of fractals and their self-similarity, and their applications to things such as coastlines.
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