• Kunio Murasugi
Part of the Modern Birkhäuser Classics book series (MBC)


With a reasonably long, say 30cm in length, piece of string or cord, loosely bind a box as shown in Figure 0.1(a). You should now be holding in your hands a simple type of knot. Now take the two ends and glue them together so that it is not immediately noticeable that the string/cord has been joined. This exercise should be performed in such a way that the string does not come into contact with the box. The box is more a prop than a necessity. When the exercise is completed, what you should see before you is a single knotted loop, approximately 30cm long, Figure 0.1(b). In mathematics this loop is called a knot.


Algebraic Number Simple Type Early Success Mathematical Definition Simple Closed Curve 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Kunio Murasugi
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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