Define Your Own Koch Curve

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At each iteration, every line segment in the lower figure is replaced by the polygonal path defined by locators in the upper figure; you can drag the locators. The "level" setter determines the number of iterations (at level four, transitions may be slow). You can add new locators (up to nine) or delete them with Alt+click (Command+click on a Mac).
Contributed by: Benjamin Shemmer (January 2014)
Open content licensed under CC BY-NC-SA
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"Define Your Own Koch Curve"
http://demonstrations.wolfram.com/DefineYourOwnKochCurve/
Wolfram Demonstrations Project
Published: January 8 2014