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Finally a solution to the Königsberg Bridge problem.
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A problem with this is that the river presumably goes all the way around the earth. Otherwise you could just travel west until you found its end. You really need a donut shaped earth, a sphere doesn't help much
But the river running round the whole planet does not matter in this case.
You run into it on the planet backside and then need another bridge, right?
What about an opposite bridge where you cross under the river? Some sort of tubular subterranean structure. We could call them opposite bridges.
That would make the earth a donut lol and would work!
Won't be in Königsberg anymore though, so that bridge won't count