Koch Snowflake

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Mouse or touch to simulate a Koch Snowflake – one of the earliest fractals to be described.

The Koch Curve has the seemingly paradoxical property of having an infinitely long perimeter (edge) that bounds a finite (non-infinite) area. As such, the Koch snowflake offers a pictorial glimpse into the intrinsic unity between finite and infinite realms. As is the case with dualism in general, a dynamic oneness thrives at the heart of all opposites.

The Koch Curve can be easily drawn on a piece of paper by following and repeated the following process:

0) Begin by constructing an equilateral triangle.
1) Divide each edge into three equal segments.
2) Draw equilateral triangles out of each of the middle segments.
3) Remove line segments that are no longer on the outer edge of the snowflake. Go to step 1.

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