A knot in its original sense can be modeled as a mathematical knot (or link) as follows: if the knot is made with a single piece of rope, then abstract the shape of that rope and then extend the working end to merge it with the standing end, yielding a mathematical knot. If the knot is attached to a metal ring, then that metal ring can be modeled as a trivial knot and the pair of knots become a link. If more than one mathematical knot (or link) can be thus obtained, then the simplest one (avoiding detours) is probably the one which one would want.
Which stately manner whenas they did see, / The image of superfluous riotize, / Exceeding much the state of meane degree, / They greatly wondred whence so sumptuous guize / Might be maintayned […]
Lovers of style and beauty the world over have for decades, even centuries now, looked back to the days of the last lavish escapades of the French courts whenever there is a resurge of the human appetite for the ornate, gilded opulence that you see characterized in these pieces.
A bipartite graph like the Herschel graph of Figure 9.2 is also non-hamiltonian, but the algorithm is not likely to delete enough vertices to notice that it has a large separating set.
