I just had a look at a map of Venice and found, fortunately quickly, that there are at least three islands with an odd number of bridges connecting them to other islands - all in Cannaregio. So it is not possible to walk over every bridge in Venice once and once only. I bet you've all been dying to know that!
Still, it would be quite an achievement to walk over every bridge in Venice, even if you had to cross a couple or more twice. Not on a par with climbing the highest peaks on each continent, or all the Monros in Scotland, perhaps.
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