Jan 232013
 

Rule #1 Two knots are identical if and only if their complements are identical

Rule # 2 Two knots can have the same group yet not be the same knots

Therefore:

.           A knot and           .
.               another             .
.               knot may          .
.                 not be the       .
.   Same knot, though   .
.      The knot group of  .
.      The knot and the    .
.  Other knot’s                  .
.              Knot group       .
.     Differ not; BUT         .
.   If the knot group       .
.      Of a knot                     .
.  Is the knot group        .
.   Of the not                      .
.             Knotted                .
.              knot,                     .
.      The knot is                  .
.                not                       .
.              knotted                .

 Posted by at 8:19 pm

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