We've always been around knots, whether we knew the math behind them or not. They make an appearance in our food as salty pretzels or garlic breads, or are found unwanted in our cables, and at other times in each other's hair and jewelry. Knots are endless, in that their ends are joined so that it cannot be undone. For this reason, they have symbolized unity, life, and have been popular motifs for millenia (both in Tibetan Buddhism and the Celtic Book of Kells). One of the first tabulators of the seemingly endless variation of knots, was Peter Guthrie Tait in his conjectures "On Knots I, II, III" (Scientific Papers, Vol. 1. London: Cambridge University Press 1900). My interest in variation, led me to reconstruct the tables of varying denominations in order to display the full beauty of knots not in categorical terms but in their purest form devoid of diagrammatic division. I wondered what knot sums might look like, and composed a selection of a few knots knotted by each other.