In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are j
Examples of different knots including the unknot (top left) and the trefoil knot (below it)
Intricate Celtic knotwork in the 1200-year-old Book of Kells
The first knot tabulator, Peter Guthrie Tait
A 3D print depicting the complement of the figure eight knot by François Guéritaud, Saul Schleimer, and Henry Segerman
In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining the two loose ends of a common overhand knot, resulting i
Knot theory
…defined in this way. The following is an example of a typical computation using a skein relation. It computes the Alexander–Conway polynomial of the trefoil knot. The yellow patches indicate where the relation is applied. gives the unknot and the Hopf link. Applying the relation to the Hopf link where indicated…
Trefoil knot used in ATV's logo
Mathematical surface in which the boundary is the trefoil knot in different angles