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I Any two polygons can be continuously "extended" or ...?

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  1. Jun 13, 2016 #1
    I am looking for theorems/information related to the following statement: any polygon can be created by an infinite number of infinitely small "extensions" or "croppings" of any other polygon, such that the shape is always a polygon (after any amount of extensions of croppings). For example, I can have a square, and then "continuously" "push" a small piece out from the top such that the final polygon is like a small square on top of a larger square.
     
  2. jcsd
  3. Jun 13, 2016 #2

    mfb

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