Yes, it re-sets each time you fall through, but after several (5 or 6) times it resets to something much simpler, with long straight legs.
If you have a saved game very close to the end, but can't find the way, you are probably not well centered, and falling off the edge somehow. Try deliberately falling off, and look up immediately, to get a picture of the layout, and perhaps you can find the correct way when you re-try from that saved point.