Showing posts with label Toroidal. Show all posts
Showing posts with label Toroidal. Show all posts

Saturday, 14 January 2012

Puzzle #86: Yajilin; Toroidal

I always liked the toroidal idea for loop puzzles. As I understood from Mathgrant's post Nikoli has published a Toroidal Yajilin too. I was somewhat curious how the clue execution worked. I spend a while considering if it was appropriate to let the clues end on the non-existing edge of the grid. But I figured the puzzle should actually be able to be posted on a torus, so the clues have to point past edges.
I made a few of them to test out how to best construct them. This was the easiest to come out of it. I figured I should first post this one for a change as a lot of times I introduce something new with a (too) hard puzzle. It's still tricky to solve because of the toroidal nature. Especially the deductions that span over the edges can be hard to see. But I didn't really see how to avoid that.

Rules for Yajilin

In this puzzle the grid is toroidal. This means the loop can pass through edges and come out on the other side. The clues also pass through the edge. This means each horizontal arrow sees the whole row and each vertical arrow sees the whole column.



Alternate image

Click to enlarge

Wednesday, 14 September 2011

Double Trouble #1: Slitherlink and Toroidal Slitherlink

I've always been interested in puzzles that can be solved under 2 different rules. It won't be a regular feature as I don't think I can pull it off every time I try. It's just something I find interesting and sometimes give a go. There's a lot of puzzle types out there that look the same at first sight, so there's enough options for me to try it with.

Rules for Slitherlink

This time it's two slitherlinks. You can solve this puzzle as a regular Slitherlink puzzle. It's not too difficult, but still fun.
You can also solve it as a Toroidal Slitherlink. Here the edges of the grid wrap around on eachother, which turns opposite edges of dots into the same line. This means the loop can run from one edge and continue on the other side.
Not every puzzle type will give the possibility to create a puzzle that is both regular and toroidal. This one works as in runs over the grid lines.

Thursday, 8 September 2011

Puzzle #2: Slitherlink;Toroidal

Rules for Slitherlink

Here's a Slitherlink puzzle with a twist. This puzzle is toroidal. This means the edges of the grid wrap around. The top line of dots are the same line as the bottom line of dots; the same goes for the right and left line of dots. The loop can now run across an outer edge and continue on the other side.