# A torus maze™™™™™

Puzzling Asked on January 2, 2022

Since this is a torus maze, the left side of the maze connects to the right side and the top of the maze connects to the bottom. Corresponding openings in the walls of the maze have been labeled for your convenience.

Your goal is to get from the start (top left) to the finish (bottom right).

Be sure to check out this excellent post by humn for tips on maze solving

Unrelated mini-puzzle: The first 14 digits of pi are hiding around the maze. Can you find them?

Solution done by the bfs algorithm. And here is the video how does bfs fill the maze and traces back.

Answered by Alexey Burdin on January 2, 2022

Here's a graph showing the connections:

where start is at node "0", end at node "1".

The most straightforward solution is then:

Here's the solution on maze

where the red squares in the maze are the blockades/misdirects.

Here's the torus maze solution on a torus.

where the red and green squares are the start and endpoints.

Answered by lineage on January 2, 2022

My path:

Or,

Explanation:

Here I have highlighted the important walls in purple, splitting the maze into sections. Every area within a section can be reached from every other, and (obviously, since I highlighted walls) there are no ways to go from one section to another.

Here I've cleaned up the maze, leaving just the important borders. (Yes, I manually drew all of those walls in Google Sheets. Where did my life go?). This maze looks much easier!

Now we're talking! I've straightened out the borders so now there are lots of neat rectangles. (Yes, I also did this manually).

Reasoning through the cleaned-up maze:

Answered by bobble on January 2, 2022

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