The rules are simple. You are given hexagonal tiles, one at a time, each adorned with six short segments of rope. Use them to construct the longest possible knot (measured in segments) before running into a wall. Entanglement is fun and addicting!
Each tile has six segments on it—two ends on each side of the hex. There are spaces for 36 hexagons. Thus a full board will have 6*36=216 strands. However, some of these strands will end at a wall. To be precise, there are 48 boundary sides. One of those boundaries is the starting wall (and the ending wall of a “perfect game”). So a perfect game must contain at least 47 unused strands (such as the strand shown above that starts and ends at the central hex). Thus it is impossible to get a score higher than 216-47=169.
Sure, that is a theoretical upper bound. Is it attainable? It turns out that it is! A player named “atomic” got a perfect 169 and there is a screenshot to prove it.
Now the only question is, what knot is that?
Update: Thank you to commenter “Evan” for pointing out a very similar board game, Tantrix, which came out in the late ’80’s. Also, I want to mention KnoTiles which was given to me by my friend Gene Chase—also very fun.