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Can you create a free-floating MASYU puzzle?


WITLESS - A Puzzling JourneyA Total Masyu puzzleNumberlink strategyA spartan skeleton SudokuPuzzles: MeanderWhy you shouldn't buy cheap puzzle booksMasyu jigsaw puzzleFlow Free FavouritesHow does one go about creating a new grid-deduction puzzle?Modified Intersection Puzzle






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;








7












$begingroup$


Rules of MASYU, for those unfamiliar: https://www.gmpuzzles.com/blog/masyu-rules-and-info/




Hey guys! So I just discovered this really cool puzzling site called the Puzzling Stack Exchange (puzzling.stackexchange.com), and it's really cool! Users create cool new puzzles to challenge each other. I really want to contribute to this site with a bold new puzzle. But I can't come up with any new ideas!



Here's the best plan I got so far: Since I really like MASYU, I'm thinking of creating a MASYU puzzle for PSE. But just an ordinary MASYU puzzle would be boring. For a site like PSE, I need it to be really special somehow!
Specifically, I want this MASYU puzzle to be free-floating.



What's a free-floating MASYU?




A free-floating MASYU puzzle is a MASYU puzzle that has no edges.




Many MASYU puzzles require deductions using the edge of the board in the solution. I want a MASYU puzzle that, in a sense, takes place on an endless board, and is just "floating" in the middle, with no edges for its solution to grapple on to.



As an example, here's a possible attempt at creating a free-floating MASYU:



1



However, this isn't a valid MASYU because more than one solution can be found:



2



3



Your task is to create a free-floating MASYU puzzle with a unique solution... or prove that no such puzzle exists.










share|improve this question











$endgroup$


















    7












    $begingroup$


    Rules of MASYU, for those unfamiliar: https://www.gmpuzzles.com/blog/masyu-rules-and-info/




    Hey guys! So I just discovered this really cool puzzling site called the Puzzling Stack Exchange (puzzling.stackexchange.com), and it's really cool! Users create cool new puzzles to challenge each other. I really want to contribute to this site with a bold new puzzle. But I can't come up with any new ideas!



    Here's the best plan I got so far: Since I really like MASYU, I'm thinking of creating a MASYU puzzle for PSE. But just an ordinary MASYU puzzle would be boring. For a site like PSE, I need it to be really special somehow!
    Specifically, I want this MASYU puzzle to be free-floating.



    What's a free-floating MASYU?




    A free-floating MASYU puzzle is a MASYU puzzle that has no edges.




    Many MASYU puzzles require deductions using the edge of the board in the solution. I want a MASYU puzzle that, in a sense, takes place on an endless board, and is just "floating" in the middle, with no edges for its solution to grapple on to.



    As an example, here's a possible attempt at creating a free-floating MASYU:



    1



    However, this isn't a valid MASYU because more than one solution can be found:



    2



    3



    Your task is to create a free-floating MASYU puzzle with a unique solution... or prove that no such puzzle exists.










    share|improve this question











    $endgroup$














      7












      7








      7





      $begingroup$


      Rules of MASYU, for those unfamiliar: https://www.gmpuzzles.com/blog/masyu-rules-and-info/




      Hey guys! So I just discovered this really cool puzzling site called the Puzzling Stack Exchange (puzzling.stackexchange.com), and it's really cool! Users create cool new puzzles to challenge each other. I really want to contribute to this site with a bold new puzzle. But I can't come up with any new ideas!



      Here's the best plan I got so far: Since I really like MASYU, I'm thinking of creating a MASYU puzzle for PSE. But just an ordinary MASYU puzzle would be boring. For a site like PSE, I need it to be really special somehow!
      Specifically, I want this MASYU puzzle to be free-floating.



      What's a free-floating MASYU?




      A free-floating MASYU puzzle is a MASYU puzzle that has no edges.




      Many MASYU puzzles require deductions using the edge of the board in the solution. I want a MASYU puzzle that, in a sense, takes place on an endless board, and is just "floating" in the middle, with no edges for its solution to grapple on to.



      As an example, here's a possible attempt at creating a free-floating MASYU:



      1



      However, this isn't a valid MASYU because more than one solution can be found:



      2



      3



      Your task is to create a free-floating MASYU puzzle with a unique solution... or prove that no such puzzle exists.










      share|improve this question











      $endgroup$




      Rules of MASYU, for those unfamiliar: https://www.gmpuzzles.com/blog/masyu-rules-and-info/




      Hey guys! So I just discovered this really cool puzzling site called the Puzzling Stack Exchange (puzzling.stackexchange.com), and it's really cool! Users create cool new puzzles to challenge each other. I really want to contribute to this site with a bold new puzzle. But I can't come up with any new ideas!



      Here's the best plan I got so far: Since I really like MASYU, I'm thinking of creating a MASYU puzzle for PSE. But just an ordinary MASYU puzzle would be boring. For a site like PSE, I need it to be really special somehow!
      Specifically, I want this MASYU puzzle to be free-floating.



      What's a free-floating MASYU?




      A free-floating MASYU puzzle is a MASYU puzzle that has no edges.




      Many MASYU puzzles require deductions using the edge of the board in the solution. I want a MASYU puzzle that, in a sense, takes place on an endless board, and is just "floating" in the middle, with no edges for its solution to grapple on to.



      As an example, here's a possible attempt at creating a free-floating MASYU:



      1



      However, this isn't a valid MASYU because more than one solution can be found:



      2



      3



      Your task is to create a free-floating MASYU puzzle with a unique solution... or prove that no such puzzle exists.







      grid-deduction






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 8 hours ago







      greenturtle3141

















      asked 9 hours ago









      greenturtle3141greenturtle3141

      6,6481 gold badge23 silver badges57 bronze badges




      6,6481 gold badge23 silver badges57 bronze badges




















          1 Answer
          1






          active

          oldest

          votes


















          6












          $begingroup$

          I claim that




          yes, it is possible: the below Masyu puzzle has only one solution.
          free-floating puzzle




          The proof:




          Stacks of 3 (or more) vertical white dots must all be passed through horizontally.

          enter image description here


          The segments in the second and third rows must not continue horizontally, or one of the white dots they currently pass over would be violated. This also lets us determine that the white dots in the first and last column are passed vertically:

          enter image description here


          The black dots in the center can be finished, and so can the other ends of the segments in rows 3 and 6.
          enter image description here


          And finally, the remaining white dots must be passed horizontally, and the remaining segment ends in rows 2 and 7 must continue vertically, completing the loop.

          enter image description here







          share|improve this answer











          $endgroup$















            Your Answer








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            1 Answer
            1






            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            6












            $begingroup$

            I claim that




            yes, it is possible: the below Masyu puzzle has only one solution.
            free-floating puzzle




            The proof:




            Stacks of 3 (or more) vertical white dots must all be passed through horizontally.

            enter image description here


            The segments in the second and third rows must not continue horizontally, or one of the white dots they currently pass over would be violated. This also lets us determine that the white dots in the first and last column are passed vertically:

            enter image description here


            The black dots in the center can be finished, and so can the other ends of the segments in rows 3 and 6.
            enter image description here


            And finally, the remaining white dots must be passed horizontally, and the remaining segment ends in rows 2 and 7 must continue vertically, completing the loop.

            enter image description here







            share|improve this answer











            $endgroup$

















              6












              $begingroup$

              I claim that




              yes, it is possible: the below Masyu puzzle has only one solution.
              free-floating puzzle




              The proof:




              Stacks of 3 (or more) vertical white dots must all be passed through horizontally.

              enter image description here


              The segments in the second and third rows must not continue horizontally, or one of the white dots they currently pass over would be violated. This also lets us determine that the white dots in the first and last column are passed vertically:

              enter image description here


              The black dots in the center can be finished, and so can the other ends of the segments in rows 3 and 6.
              enter image description here


              And finally, the remaining white dots must be passed horizontally, and the remaining segment ends in rows 2 and 7 must continue vertically, completing the loop.

              enter image description here







              share|improve this answer











              $endgroup$















                6












                6








                6





                $begingroup$

                I claim that




                yes, it is possible: the below Masyu puzzle has only one solution.
                free-floating puzzle




                The proof:




                Stacks of 3 (or more) vertical white dots must all be passed through horizontally.

                enter image description here


                The segments in the second and third rows must not continue horizontally, or one of the white dots they currently pass over would be violated. This also lets us determine that the white dots in the first and last column are passed vertically:

                enter image description here


                The black dots in the center can be finished, and so can the other ends of the segments in rows 3 and 6.
                enter image description here


                And finally, the remaining white dots must be passed horizontally, and the remaining segment ends in rows 2 and 7 must continue vertically, completing the loop.

                enter image description here







                share|improve this answer











                $endgroup$



                I claim that




                yes, it is possible: the below Masyu puzzle has only one solution.
                free-floating puzzle




                The proof:




                Stacks of 3 (or more) vertical white dots must all be passed through horizontally.

                enter image description here


                The segments in the second and third rows must not continue horizontally, or one of the white dots they currently pass over would be violated. This also lets us determine that the white dots in the first and last column are passed vertically:

                enter image description here


                The black dots in the center can be finished, and so can the other ends of the segments in rows 3 and 6.
                enter image description here


                And finally, the remaining white dots must be passed horizontally, and the remaining segment ends in rows 2 and 7 must continue vertically, completing the loop.

                enter image description here








                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 7 hours ago

























                answered 7 hours ago









                DeusoviDeusovi

                68.2k7 gold badges234 silver badges299 bronze badges




                68.2k7 gold badges234 silver badges299 bronze badges



























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