Figure 12.

Braid representations of knots. a) A braid for the generation of three‐strand torus knots. A knot is generated from the corresponding braid by connecting opposite ends without generating additional crossings. b) This braid generates torus knots with one additional toroidal revolution for each extra value of n. Following this pattern with additional strands in the braid, any torus knot can be obtained. c) A braid for the generation of a family of achiral knots. For any number of n, a reverse rotated palindrome (RRP) is obtained, indicated by the inversion center i. d) This braid also generates achiral knots for any number n not divisible by 3.