High Quality Content by WIKIPEDIA articles! In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining together the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory, which has diverse applications in topology, geometry, physics, and chemistry.The trefoil knot is named after the three-leaf clover (or trefoil) plant.The trefoil can be defined as the curve obtained from the following parametric equations: x = (2+cos 3t)cos 2t, qquad y=(2+cos 3t )sin 2t, qquad z=sin 3t.

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