Create Alternative Koch Snowflakes

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The Koch snowflake is constructed by following a simple rule: put a triangle on top of every line. After this, the picture still consists of lines. To each of these lines, the rule is applied again: put a triangle on top of every line. After applying this refinement infinitely many times, a fractal appears. Three of these fractals put together in a triangle are called the Koch snowflake. In this Demonstration, you can vary the rule for making the snowflake by dragging the points. You can also add points with Alt+click.
Contributed by: Tammo Jan Dijkema (March 2011)
Open content licensed under CC BY-NC-SA
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"Create Alternative Koch Snowflakes"
http://demonstrations.wolfram.com/CreateAlternativeKochSnowflakes/
Wolfram Demonstrations Project
Published: March 7 2011