The Koch curve can be constructed by starting with an equilateral triangle, then recursively altering each line segment as follows:
- divide the line segment into three segments of equal length.
- draw an equilateral triangle that has the middle segment from step 1 as its base and points outward.
- remove the line segment that is the base of the triangle from step 2.
After one iteration of this process, the result is a shape similar to the Star of David.
The Koch curve is the limit approached as the above steps are followed over and over again.
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