Sometimes, I will post things related to puzzle solving. Mostly techniques to solve puzzles…or maybe building them.
Six common patterns in Slitherlink
The image above has six common patterns in Slitherlink. (I can’t think of more currently; feel free to comment or e-mail me about suggestions.)
- Edge 3-3 (top-left): Every time we see an edge 3-3, we can fill like in the picture. (Red, dashed lines mean there’s no line there.) You can prove so. There are only two possibilities, and both contain the same “template”.
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Well, this doesn’t apply in “joke” puzzles, which only contains the edge 3-3 and none else, in which we can fill the boundary of the 3’s. - Corner 3-3 (top-middle): There are four possibilities, but we can confidently fill so; all corner 3-3 ways have that template.
- Corner 0-3 (top-right): Every 0 is a (kind of) given, which there’s no line around it. If the black lines near the 3 are not there, there will be only two lines possible for 3, contradiction.
- Corner 0-1 (bottom-left): A similar logic applies. If the red lines near the 1 are filled, there will be at least two lines. Contradiction.
- Edge 0-3 (bottom-right): Pretty self-explanatory, I assume?
- 0-2-0: As you can see, 0-2-0 is quite giving.
Hm… I don’t have good words to explain. Anyone can help correcting me? 😛
Posted by chaotic_iak 
A Chaotically Puzzling Blog 