Comment by mrcactu5

there's a nice trick in Thurston's book on 3-manifolds where you glue a strip of paper at the ends into a Möbius band and cut along the middle to get a trefoil knot out of paper.

i did it with 3 and 5 twists and cut along the middle you get various knots this way

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  B___________________________________A
  A                                   B
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http://library.msri.org/books/gt3m/