Statue View: 2, 3, 5, 7Statue View: TetrominoesStatue View: RaindropsThe Ludicrous Loop: over a thousand cells of circular logic!Who killed Boggs? A chandelier’s viewTetromi-nuri-dokuMasyu jigsaw puzzleStatue Park (Loop)Diabolical Deceptions: A 333rd Birthday Tribute to J.S. BachStatue Park: FiveStatue Park: Knight's LinesStatue View: TetrominoesStatue View: Raindrops

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Statue View: 2, 3, 5, 7


Statue View: TetrominoesStatue View: RaindropsThe Ludicrous Loop: over a thousand cells of circular logic!Who killed Boggs? A chandelier’s viewTetromi-nuri-dokuMasyu jigsaw puzzleStatue Park (Loop)Diabolical Deceptions: A 333rd Birthday Tribute to J.S. BachStatue Park: FiveStatue Park: Knight's LinesStatue View: TetrominoesStatue View: Raindrops













12












$begingroup$


This is another Statue View puzzle. It's easily the hardest of the three I've made, so I recommend trying the other two as practice first.



Rules of Statue View:



  • Shade some cells of the grid to form the given set of pieces. Pieces may be rotated or reflected.

  • Pieces cannot be adjacent (though they can touch at a corner).

  • All unshaded cells must be (orthogonally) connected.

  • Any cells with numbers in them must be unshaded. These numbers give the total lengths of the runs of shaded cells starting immediately adjacent to the clue, and extending outwards from the clue.

grid with only 4 clues: 2, 3, 5, and 7










share|improve this question









$endgroup$







  • 3




    $begingroup$
    These are amazing, how do you come up with these?
    $endgroup$
    – greenturtle3141
    May 25 at 19:24






  • 1




    $begingroup$
    @greenturtle3141 Place clues to force an interesting deduction to be made, mark down all possible things you can figure out from there, and repeat until unique! The tough part is finding interesting deductions and figuring out how to force them with clues...
    $endgroup$
    – Deusovi
    May 26 at 0:52















12












$begingroup$


This is another Statue View puzzle. It's easily the hardest of the three I've made, so I recommend trying the other two as practice first.



Rules of Statue View:



  • Shade some cells of the grid to form the given set of pieces. Pieces may be rotated or reflected.

  • Pieces cannot be adjacent (though they can touch at a corner).

  • All unshaded cells must be (orthogonally) connected.

  • Any cells with numbers in them must be unshaded. These numbers give the total lengths of the runs of shaded cells starting immediately adjacent to the clue, and extending outwards from the clue.

grid with only 4 clues: 2, 3, 5, and 7










share|improve this question









$endgroup$







  • 3




    $begingroup$
    These are amazing, how do you come up with these?
    $endgroup$
    – greenturtle3141
    May 25 at 19:24






  • 1




    $begingroup$
    @greenturtle3141 Place clues to force an interesting deduction to be made, mark down all possible things you can figure out from there, and repeat until unique! The tough part is finding interesting deductions and figuring out how to force them with clues...
    $endgroup$
    – Deusovi
    May 26 at 0:52













12












12








12





$begingroup$


This is another Statue View puzzle. It's easily the hardest of the three I've made, so I recommend trying the other two as practice first.



Rules of Statue View:



  • Shade some cells of the grid to form the given set of pieces. Pieces may be rotated or reflected.

  • Pieces cannot be adjacent (though they can touch at a corner).

  • All unshaded cells must be (orthogonally) connected.

  • Any cells with numbers in them must be unshaded. These numbers give the total lengths of the runs of shaded cells starting immediately adjacent to the clue, and extending outwards from the clue.

grid with only 4 clues: 2, 3, 5, and 7










share|improve this question









$endgroup$




This is another Statue View puzzle. It's easily the hardest of the three I've made, so I recommend trying the other two as practice first.



Rules of Statue View:



  • Shade some cells of the grid to form the given set of pieces. Pieces may be rotated or reflected.

  • Pieces cannot be adjacent (though they can touch at a corner).

  • All unshaded cells must be (orthogonally) connected.

  • Any cells with numbers in them must be unshaded. These numbers give the total lengths of the runs of shaded cells starting immediately adjacent to the clue, and extending outwards from the clue.

grid with only 4 clues: 2, 3, 5, and 7







logical-deduction grid-deduction






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked May 25 at 17:35









DeusoviDeusovi

66.2k6228288




66.2k6228288







  • 3




    $begingroup$
    These are amazing, how do you come up with these?
    $endgroup$
    – greenturtle3141
    May 25 at 19:24






  • 1




    $begingroup$
    @greenturtle3141 Place clues to force an interesting deduction to be made, mark down all possible things you can figure out from there, and repeat until unique! The tough part is finding interesting deductions and figuring out how to force them with clues...
    $endgroup$
    – Deusovi
    May 26 at 0:52












  • 3




    $begingroup$
    These are amazing, how do you come up with these?
    $endgroup$
    – greenturtle3141
    May 25 at 19:24






  • 1




    $begingroup$
    @greenturtle3141 Place clues to force an interesting deduction to be made, mark down all possible things you can figure out from there, and repeat until unique! The tough part is finding interesting deductions and figuring out how to force them with clues...
    $endgroup$
    – Deusovi
    May 26 at 0:52







3




3




$begingroup$
These are amazing, how do you come up with these?
$endgroup$
– greenturtle3141
May 25 at 19:24




$begingroup$
These are amazing, how do you come up with these?
$endgroup$
– greenturtle3141
May 25 at 19:24




1




1




$begingroup$
@greenturtle3141 Place clues to force an interesting deduction to be made, mark down all possible things you can figure out from there, and repeat until unique! The tough part is finding interesting deductions and figuring out how to force them with clues...
$endgroup$
– Deusovi
May 26 at 0:52




$begingroup$
@greenturtle3141 Place clues to force an interesting deduction to be made, mark down all possible things you can figure out from there, and repeat until unique! The tough part is finding interesting deductions and figuring out how to force them with clues...
$endgroup$
– Deusovi
May 26 at 0:52










1 Answer
1






active

oldest

votes


















8












$begingroup$

The solution:




enter image description here




First of all,




Since there are no stretches of 4 or 6 in any of the pieces, the 7 can only be 2+5 or 1+3+3. Also, we can see that no stretch of 3 fits the 3 squares north of the 7 without filling either the 2 or the 3 square.


Also, the only other choices for 3+3 around the 7 are west and south, and there is no way to fit a piece to complete the southward part without touching the westward part.
enter image description here

By contradiction, we can deduce that the 7 square has to be made up of 2+5.




From there,




There are only two pieces with a stretch of 5, so let's try all their positions. A northward three-piece would make it impossible to complete the 3 with any of the remaining pieces.
enter image description here


Same story with a northward seven-piece in either direction.
enter image description here
enter image description here


So the stretch of five needs to be westward. Note that we cannot fit the two-piece into any of the stretches of 2 required, so the stretch of 2 has to be filled in by a seven-piece. That leaves only the three-piece for the stretch of 5.
enter image description here


If we put the three-piece facing south, there is only one way to complete the 7, but this puts a stretch of 5 next to the 3-square.

enter image description here

Thus we conclude that the three-piece must face north. There is exactly one way to complete the 7 now, and we've completed the 2 in the process as well.
enter image description here




Then,




We know the 3 cannot be 2+1, because there is no way to complete the 3 if we use the stretch of two in either direction.
enter image description here


So the 3 has to be a stretch of 3 to the north. We have two pieces that fit that stretch of three. Let's try the two-piece first.


If we touch the five with a stretch of 3, we can't complete it with the remaining pieces which has no stretch of 2.
enter image description here


Putting the two-piece the other way, we would need a stretch of 5 to finish the 5-square.
enter image description here

So we have to use the five-piece for the 3, and there are two ways to do it. Let's try the wrong way first – this would require a stretch of 4 to complete the 5-square.
enter image description here


Only one position we haven't tried:
enter image description here




From there, the remaining piece only fits one way to complete the 5:




enter image description here







share|improve this answer











$endgroup$








  • 1




    $begingroup$
    yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
    $endgroup$
    – Alto
    May 25 at 21:31







  • 2




    $begingroup$
    That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
    $endgroup$
    – Deusovi
    May 26 at 0:41










  • $begingroup$
    How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
    $endgroup$
    – Guntram Blohm
    May 26 at 11:12










  • $begingroup$
    @GuntramBlohm Just the paint bucket tool in Paint :)
    $endgroup$
    – jafe
    May 26 at 11:59











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









8












$begingroup$

The solution:




enter image description here




First of all,




Since there are no stretches of 4 or 6 in any of the pieces, the 7 can only be 2+5 or 1+3+3. Also, we can see that no stretch of 3 fits the 3 squares north of the 7 without filling either the 2 or the 3 square.


Also, the only other choices for 3+3 around the 7 are west and south, and there is no way to fit a piece to complete the southward part without touching the westward part.
enter image description here

By contradiction, we can deduce that the 7 square has to be made up of 2+5.




From there,




There are only two pieces with a stretch of 5, so let's try all their positions. A northward three-piece would make it impossible to complete the 3 with any of the remaining pieces.
enter image description here


Same story with a northward seven-piece in either direction.
enter image description here
enter image description here


So the stretch of five needs to be westward. Note that we cannot fit the two-piece into any of the stretches of 2 required, so the stretch of 2 has to be filled in by a seven-piece. That leaves only the three-piece for the stretch of 5.
enter image description here


If we put the three-piece facing south, there is only one way to complete the 7, but this puts a stretch of 5 next to the 3-square.

enter image description here

Thus we conclude that the three-piece must face north. There is exactly one way to complete the 7 now, and we've completed the 2 in the process as well.
enter image description here




Then,




We know the 3 cannot be 2+1, because there is no way to complete the 3 if we use the stretch of two in either direction.
enter image description here


So the 3 has to be a stretch of 3 to the north. We have two pieces that fit that stretch of three. Let's try the two-piece first.


If we touch the five with a stretch of 3, we can't complete it with the remaining pieces which has no stretch of 2.
enter image description here


Putting the two-piece the other way, we would need a stretch of 5 to finish the 5-square.
enter image description here

So we have to use the five-piece for the 3, and there are two ways to do it. Let's try the wrong way first – this would require a stretch of 4 to complete the 5-square.
enter image description here


Only one position we haven't tried:
enter image description here




From there, the remaining piece only fits one way to complete the 5:




enter image description here







share|improve this answer











$endgroup$








  • 1




    $begingroup$
    yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
    $endgroup$
    – Alto
    May 25 at 21:31







  • 2




    $begingroup$
    That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
    $endgroup$
    – Deusovi
    May 26 at 0:41










  • $begingroup$
    How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
    $endgroup$
    – Guntram Blohm
    May 26 at 11:12










  • $begingroup$
    @GuntramBlohm Just the paint bucket tool in Paint :)
    $endgroup$
    – jafe
    May 26 at 11:59















8












$begingroup$

The solution:




enter image description here




First of all,




Since there are no stretches of 4 or 6 in any of the pieces, the 7 can only be 2+5 or 1+3+3. Also, we can see that no stretch of 3 fits the 3 squares north of the 7 without filling either the 2 or the 3 square.


Also, the only other choices for 3+3 around the 7 are west and south, and there is no way to fit a piece to complete the southward part without touching the westward part.
enter image description here

By contradiction, we can deduce that the 7 square has to be made up of 2+5.




From there,




There are only two pieces with a stretch of 5, so let's try all their positions. A northward three-piece would make it impossible to complete the 3 with any of the remaining pieces.
enter image description here


Same story with a northward seven-piece in either direction.
enter image description here
enter image description here


So the stretch of five needs to be westward. Note that we cannot fit the two-piece into any of the stretches of 2 required, so the stretch of 2 has to be filled in by a seven-piece. That leaves only the three-piece for the stretch of 5.
enter image description here


If we put the three-piece facing south, there is only one way to complete the 7, but this puts a stretch of 5 next to the 3-square.

enter image description here

Thus we conclude that the three-piece must face north. There is exactly one way to complete the 7 now, and we've completed the 2 in the process as well.
enter image description here




Then,




We know the 3 cannot be 2+1, because there is no way to complete the 3 if we use the stretch of two in either direction.
enter image description here


So the 3 has to be a stretch of 3 to the north. We have two pieces that fit that stretch of three. Let's try the two-piece first.


If we touch the five with a stretch of 3, we can't complete it with the remaining pieces which has no stretch of 2.
enter image description here


Putting the two-piece the other way, we would need a stretch of 5 to finish the 5-square.
enter image description here

So we have to use the five-piece for the 3, and there are two ways to do it. Let's try the wrong way first – this would require a stretch of 4 to complete the 5-square.
enter image description here


Only one position we haven't tried:
enter image description here




From there, the remaining piece only fits one way to complete the 5:




enter image description here







share|improve this answer











$endgroup$








  • 1




    $begingroup$
    yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
    $endgroup$
    – Alto
    May 25 at 21:31







  • 2




    $begingroup$
    That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
    $endgroup$
    – Deusovi
    May 26 at 0:41










  • $begingroup$
    How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
    $endgroup$
    – Guntram Blohm
    May 26 at 11:12










  • $begingroup$
    @GuntramBlohm Just the paint bucket tool in Paint :)
    $endgroup$
    – jafe
    May 26 at 11:59













8












8








8





$begingroup$

The solution:




enter image description here




First of all,




Since there are no stretches of 4 or 6 in any of the pieces, the 7 can only be 2+5 or 1+3+3. Also, we can see that no stretch of 3 fits the 3 squares north of the 7 without filling either the 2 or the 3 square.


Also, the only other choices for 3+3 around the 7 are west and south, and there is no way to fit a piece to complete the southward part without touching the westward part.
enter image description here

By contradiction, we can deduce that the 7 square has to be made up of 2+5.




From there,




There are only two pieces with a stretch of 5, so let's try all their positions. A northward three-piece would make it impossible to complete the 3 with any of the remaining pieces.
enter image description here


Same story with a northward seven-piece in either direction.
enter image description here
enter image description here


So the stretch of five needs to be westward. Note that we cannot fit the two-piece into any of the stretches of 2 required, so the stretch of 2 has to be filled in by a seven-piece. That leaves only the three-piece for the stretch of 5.
enter image description here


If we put the three-piece facing south, there is only one way to complete the 7, but this puts a stretch of 5 next to the 3-square.

enter image description here

Thus we conclude that the three-piece must face north. There is exactly one way to complete the 7 now, and we've completed the 2 in the process as well.
enter image description here




Then,




We know the 3 cannot be 2+1, because there is no way to complete the 3 if we use the stretch of two in either direction.
enter image description here


So the 3 has to be a stretch of 3 to the north. We have two pieces that fit that stretch of three. Let's try the two-piece first.


If we touch the five with a stretch of 3, we can't complete it with the remaining pieces which has no stretch of 2.
enter image description here


Putting the two-piece the other way, we would need a stretch of 5 to finish the 5-square.
enter image description here

So we have to use the five-piece for the 3, and there are two ways to do it. Let's try the wrong way first – this would require a stretch of 4 to complete the 5-square.
enter image description here


Only one position we haven't tried:
enter image description here




From there, the remaining piece only fits one way to complete the 5:




enter image description here







share|improve this answer











$endgroup$



The solution:




enter image description here




First of all,




Since there are no stretches of 4 or 6 in any of the pieces, the 7 can only be 2+5 or 1+3+3. Also, we can see that no stretch of 3 fits the 3 squares north of the 7 without filling either the 2 or the 3 square.


Also, the only other choices for 3+3 around the 7 are west and south, and there is no way to fit a piece to complete the southward part without touching the westward part.
enter image description here

By contradiction, we can deduce that the 7 square has to be made up of 2+5.




From there,




There are only two pieces with a stretch of 5, so let's try all their positions. A northward three-piece would make it impossible to complete the 3 with any of the remaining pieces.
enter image description here


Same story with a northward seven-piece in either direction.
enter image description here
enter image description here


So the stretch of five needs to be westward. Note that we cannot fit the two-piece into any of the stretches of 2 required, so the stretch of 2 has to be filled in by a seven-piece. That leaves only the three-piece for the stretch of 5.
enter image description here


If we put the three-piece facing south, there is only one way to complete the 7, but this puts a stretch of 5 next to the 3-square.

enter image description here

Thus we conclude that the three-piece must face north. There is exactly one way to complete the 7 now, and we've completed the 2 in the process as well.
enter image description here




Then,




We know the 3 cannot be 2+1, because there is no way to complete the 3 if we use the stretch of two in either direction.
enter image description here


So the 3 has to be a stretch of 3 to the north. We have two pieces that fit that stretch of three. Let's try the two-piece first.


If we touch the five with a stretch of 3, we can't complete it with the remaining pieces which has no stretch of 2.
enter image description here


Putting the two-piece the other way, we would need a stretch of 5 to finish the 5-square.
enter image description here

So we have to use the five-piece for the 3, and there are two ways to do it. Let's try the wrong way first – this would require a stretch of 4 to complete the 5-square.
enter image description here


Only one position we haven't tried:
enter image description here




From there, the remaining piece only fits one way to complete the 5:




enter image description here








share|improve this answer














share|improve this answer



share|improve this answer








edited May 25 at 22:33

























answered May 25 at 20:20









jafejafe

30k487307




30k487307







  • 1




    $begingroup$
    yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
    $endgroup$
    – Alto
    May 25 at 21:31







  • 2




    $begingroup$
    That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
    $endgroup$
    – Deusovi
    May 26 at 0:41










  • $begingroup$
    How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
    $endgroup$
    – Guntram Blohm
    May 26 at 11:12










  • $begingroup$
    @GuntramBlohm Just the paint bucket tool in Paint :)
    $endgroup$
    – jafe
    May 26 at 11:59












  • 1




    $begingroup$
    yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
    $endgroup$
    – Alto
    May 25 at 21:31







  • 2




    $begingroup$
    That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
    $endgroup$
    – Deusovi
    May 26 at 0:41










  • $begingroup$
    How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
    $endgroup$
    – Guntram Blohm
    May 26 at 11:12










  • $begingroup$
    @GuntramBlohm Just the paint bucket tool in Paint :)
    $endgroup$
    – jafe
    May 26 at 11:59







1




1




$begingroup$
yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
$endgroup$
– Alto
May 25 at 21:31





$begingroup$
yeah, i think this is correct! i wish i didn't take 20 minutes to figure out how the puzzle worked though (ugh for my noticing skills) +1
$endgroup$
– Alto
May 25 at 21:31





2




2




$begingroup$
That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
$endgroup$
– Deusovi
May 26 at 0:41




$begingroup$
That's correct, nice job! There's some slightly easier logic towards the end, though: once you have the first two pieces placed, you can also notice that the piece touching the 3 clue must also touch the 5 clue (with at least two cells), and then place that shape (apart from maybe the upper left corner, since you don't know yet if it's the two-piece or the five-piece).
$endgroup$
– Deusovi
May 26 at 0:41












$begingroup$
How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
$endgroup$
– Guntram Blohm
May 26 at 11:12




$begingroup$
How did you create all those images? Is there some specialized software for that, or ist is just paint/gimp/photoshop and a lot of manual work?
$endgroup$
– Guntram Blohm
May 26 at 11:12












$begingroup$
@GuntramBlohm Just the paint bucket tool in Paint :)
$endgroup$
– jafe
May 26 at 11:59




$begingroup$
@GuntramBlohm Just the paint bucket tool in Paint :)
$endgroup$
– jafe
May 26 at 11:59

















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