I created a program that generates crochet patterns from a 3D computer model of a knotted torus. The patterns use increases and decreases to induce curves at the appropriate points so that the crocheted surface of the knot does not bunch up, even when tightly curving around another strand of the knot. Using the program, I generated patterns for, and subsequently crocheted, the first 14 prime knots and the unknot, which form an aesthetically pleasing collection.