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Puzzling

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  • $\begingroup$ Your blue lines intersect at various points, so that means that you are repeating. Could you clarify your definition of "showing the same sections of the road more than once"? Why do these intersections not count? $\endgroup$ Commented Sep 22, 2025 at 12:07
  • $\begingroup$ @terdon. I see what you mean but a section of the road is not generically a bunch of isolated points. I think the intended meaning is conveyed as can be seen from the answers. $\endgroup$ Commented Sep 22, 2025 at 12:14
  • $\begingroup$ @terdon Boring someone isn't instantaneous - Bose will not "get bored" even if he revisits a finite collection of zero-width points, as he'll still spend zero total duration traversing a section he's already seen. 100% of the tour is spent traversing unseen roads, even when revisiting intersections. $\endgroup$ Commented Sep 22, 2025 at 13:24
  • $\begingroup$ Now one interesting consequence of this arrangement is that there's no way to leave this city to go somewhere else, or enter it from outside... $\endgroup$ Commented Sep 23, 2025 at 8:03
  • $\begingroup$ @DarrelHoffman. Flights, trains, straight roads (infinite radius circles) :P $\endgroup$ Commented Sep 23, 2025 at 12:26