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Comments on Puzzle #5878: Don't fall off of the Edge
By Gator (gator)

peek at solution       solve puzzle
  quality:   difficulty:   solvability: moderate lookahead  

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#1: Gator (Gator) on May 16, 2009 [HINT]

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#2: Laura (Sunidesus) on May 16, 2009
Didn't have to guess at all.
#3: Adam Nielson (monkeyboy) on May 16, 2009
As if anything else could be done, Gator.
#4: JoDeen Mozena (ozymoe) on May 17, 2009
I enjoyed this despite my not liking puzzles where I have to "guess" lol! The difference is...this is a 15x15...which makes the tiresome "gussing" managable and fun!
#5: Gator (Gator) on May 17, 2009 [HINT]
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#6: Web Paint-By-Number Robot (webpbn) on May 17, 2009
Found to be logically solvable by jan.
#7: Jan Wolter (jan) on May 17, 2009 [HINT]
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#8: Adam Nielson (monkeyboy) on May 17, 2009 [HINT]
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#9: Jan Wolter (jan) on May 17, 2009 [HINT]
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#10: Adam Nielson (monkeyboy) on May 17, 2009 [HINT]
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#11: Eric Francis (airdrik) on May 17, 2009 [HINT] [SPOILER]
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#12: Jan Wolter (jan) on May 18, 2009
I don't believe in "diagonal logic". I know there are certain recognizable patterns of clues that usually indicate some kind of diagonal line, but I haven't been able to see a way to prove that they can't also be created by a scattering of blobs.
#13: Jota (jota) on May 19, 2009 [HINT]
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#14: Byrdie (byrdie) on May 21, 2009 [HINT]
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#15: Teresa K (fasstar) on May 22, 2009 [HINT]
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#16: Eric Francis (airdrik) on Jun 5, 2009 [HINT]
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#17: Jan Wolter (jan) on Jun 5, 2009
In a previous life, I used to write long papers full of mathematical theorems and proofs, and a part of me still doesn't trust anything I can't prove. The proof that symmetric clues mean a symmetric image if the solution is unique is easy. The logic is all there. The only problem with it is that "if the solution is unique" clause. We can only use that logic to find a solution if we already know something important about the solution. That's the fatal flaw of symmetry logic. It's not that the logic isn't sound, it's that it depends on something you can only know from information external to the puzzle itself.

The problem with diagonal logic is that there is no proof at all. Certain kinds of patterns of clues suggest a diagonal line of cells. But what exact patterns of clues is it? Some patterns do mean there has to be a specific diagonal line. Some patterns allow either of two different diagonal lines. Some patterns allow solutions that look nothing like a diagonal line. Which is which? It may be possible to figure out a rule for these things, but I don't know how. It'd be cool if something could be found.
#18: Eric Francis (airdrik) on Jun 28, 2009 [HINT]
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