The connected sum of knots and is a knot, denoted by , constructed by removing a short segment from each of and and joining each free end of to a different free end of to form a new knot. The connected sum of two knots always exists but is not necessarily unique.
Suppose and are both the trefoil knot.
By one choice of segment deletion and reattachment, is the quatrefoil knot.
|Date of creation||2013-03-22 13:17:33|
|Last modified on||2013-03-22 13:17:33|
|Last modified by||Mathprof (13753)|