I had first seen this variant on Mathgrant's blog. I thought it worked nicely. So I figured I'd give it a go too. It wasn't the easiest to start as Symmetry is always a weakness for me when solving. It doesn't really register with me too well, usually. But then I got the idea to bring back the Antisymmetry label, which I had added to Puzzle #1, but hadn't used since. I always like to build in some kind of antisymmetry in the givens of my puzzles, except it somehow had never come back in any of my puzzles for my blog. So for this puzzle rotationally symmetrical cages with clues have the opposite clues given. This doesn't hold for cages without givens. It would have been cool if it did, but I think that would be awfully difficult to accomplish.
I think the puzzle worked out in the end. The one cell pairs were to fix uniqueness issues, which didn't really bother the solving path. Enjoy.
Rules for Heyawake
Follow normal Heyawake rules. Additionally, this puzzle has no numbers as clues. Instead the clues indicate if a room has 180 degree rotational symmetry or not. An S indicates that the room has 180 degree rotational symmetry. An A indicates that the room does not have 180 degree rotational symmetry.
Showing posts with label Antisymmetry. Show all posts
Showing posts with label Antisymmetry. Show all posts
Thursday, 5 July 2012
Thursday, 8 September 2011
Puzzle #1: Slitherlink
Rules for Slitherlink
This puzzle is a standard Slitherlink. I know I said I would post variations, but I figured I should at least post one normal puzzle if I'm going to post variations on certain puzzle types. This puzzle is anti-symmetric. Every square rotationally symmetric to a 0 has a 3 and vice versa. The same goes for all 1 and 2 clues.
This puzzle is a standard Slitherlink. I know I said I would post variations, but I figured I should at least post one normal puzzle if I'm going to post variations on certain puzzle types. This puzzle is anti-symmetric. Every square rotationally symmetric to a 0 has a 3 and vice versa. The same goes for all 1 and 2 clues.
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