this post was submitted on 18 Jul 2025
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Crossing oceans, which are continuous with the river, seems to make this about as meaningful at tunneling under the river.
I feel that leaving Koningsberg is already breaking the rules.
The original idea was taking a walk before a meal, so maybe if you were a really fast walker...
Don't let the sailors tell you you have to cross oceans to circumnavigate the globe! Just walking around the headwaters of the Pregolya River is equivalent.
While this would have worked in Euler's time, the puzzle in fact became unsolvable around 1873 when canals were built in the Masurian lakes effectively connecting a tributary of the Pregolya with a tributary of the Vistula to the south and cutting of this route. I assume the canals were constructed by mathematicians trying to close this loophole. Maybe hopping across lock gates when they're closed doesn't count as a bridge tho?
TBF, does the problem specifically state it has to take place on Earth and not some theoretical planet with contiguous landmass?