Torus Knots

Torus Knots
Research paper
This is a self-contained paper assuming no background knowledge of knot theory. A knot is a closed curve in three-dimensional space that does not intersect itself anywhere. A (double) crossing is where two strands of the knot meet; a triple crossing is where three strands of the knot meet. In this paper, a specic family of knots, called torus knots, is studied. This paper explores different properties of knots and how they are realized in torus knots. The relationship between the number of double crossings and triple crossings is investigated for a specic type of torus knot.


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