After K.Redmeister, in all other books about the knot theory, knot projections are just redrawn, sometimes turned upside down (e.g. 7_{6}), but never changed into some nonisomorphic projection of the same knot. In the first column are given alternating knots 7_{5}, 7_{6}, 7_{7} from K.Redmeister Knotentheorie, in the second from the monograph Knots by G.Burde and H.Zieschang, in the third from D.Rolfsen Knots and links, but there in Conway notation. The fourt column contains nonisomorphic projections of that knots. |