A twang is a move where you select 3 points of a polygon. First two points are fixed points and the third one is the one that you will Twang. The point which is to be twanged has to be connected with more than 2 points of the polygon. Two fixed points should also be conected to the point to be twanged. After twanging the point a shortest "Path" will be created between the two fixed points.
Here is an example
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