How many roads are this?

[AdrianM94]

Hi all,

Yesterday playing face-to-face we had a little discussion. How many roads are these, 8 or 9? And why? The thing is that both options have some logic for me and we couldn't find the solution when searching about it.

Update: couldn't add the photo so here it is: https://www.mediafire.com/file/jgdh7dnq ... 5.jpg/file

Thanks!

[Fraanki]

8

[euklid314]

White longest road is 8. It is impossible to use all 9 road pieces if you want to "walk" along the roads because it is forbidden to "walk" along any road piece more than once.

8 is possible because you can, e.g., start on the right and then go along the circular path without using a part twice.

[AdrianM94]

White longest road is 8. It is impossible to use all 9 road pieces if you want to "walk" along the roads because it is forbidden to "walk" along any road piece more than once.

8 is possible because you can, e.g., start on the right and then go along the circular path without using a part twice.

Thanks for the explanation!