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## Closed loops in Hashi?

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Closed loops in Hashi? - 6/21/2014 4:17:45 PM

Posts: 2
Joined: 6/21/2014
From: United States
Status: offline
Hello,

In Hashi, is it legal to have a closed loop?

I realize that all points must end up being connected through bridges but as long as that requirement fulfilled, is it legal to have a closed loop?

For example, in the following diagram, all points are connected with the correct number of bridges. However, there is a closed loop made by the three 3's and one of the 2's:

1
|
2
|
3 — 3 — 1
| |
3 — 2
|
1

I presume this is legal but I have not seen any sample puzzles in which a closed loop is present.

Thanks
RE: Closed loops in Hashi? - 6/21/2014 4:26:04 PM

Posts: 2
Joined: 6/21/2014
From: United States
Status: offline
Oops, the diagram did not post with the same appearance as when it was created. The 2nd vertical bar between the two rows containing 3's is supposed to be further to the right forming a bridge between the 3 and the 2.

RE: Closed loops in Hashi? - 6/25/2014 4:04:37 AM
mig23

Posts: 32
Joined: 2/24/2005
Status: offline
I'm pretty sure that all the bridges must form a single path - therefore no closed loops.

RE: Closed loops in Hashi? - 9/11/2014 5:59:46 PM
Ichneumon

Posts: 5
Joined: 1/5/2012
From: United States
Status: offline
This is incorrect. A Hashi solution *can* have loops.

Indeed, the "Classic Hashi 10x10" sample on the main Hashi page has a loop at the top middle (bridging the 4/4/5/5 nodes).

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