The Pentomino Snake

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











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The premise of the puzzle is quite simple. Here's how to set it up.




  1. Draw a 5x5 grid of squares.


  2. Write the number 1 in the middle.


  3. Make a "snake" of numbers up to 25 so that each number is orthogonal from the previous number AND the next number.


  4. Divide the grid into the pentominoes formed by the numbers 1-5, 6-10, 11-15, 16-20, and 21-25.


  5. If no two of the pentominoes are the same when rotated or reflected, you win. If two or more are, then you lose.




Example:



sorry for bad quality



This fails because 6-10 and 11-15 are the same, as are 16-20 and 21-25.



Is it possible to win this game? If your answer is no, prove it. If your answer is yes, give an example.



(I don't quite know how to tag this, feel free to edit some other tags in.)






tiling polyomino







share|improve this question



























    up vote
    2
    down vote

    favorite
    1












    The premise of the puzzle is quite simple. Here's how to set it up.




    1. Draw a 5x5 grid of squares.


    2. Write the number 1 in the middle.


    3. Make a "snake" of numbers up to 25 so that each number is orthogonal from the previous number AND the next number.


    4. Divide the grid into the pentominoes formed by the numbers 1-5, 6-10, 11-15, 16-20, and 21-25.


    5. If no two of the pentominoes are the same when rotated or reflected, you win. If two or more are, then you lose.




    Example:



    sorry for bad quality



    This fails because 6-10 and 11-15 are the same, as are 16-20 and 21-25.



    Is it possible to win this game? If your answer is no, prove it. If your answer is yes, give an example.



    (I don't quite know how to tag this, feel free to edit some other tags in.)






    tiling polyomino







    share|improve this question

























      up vote
      2
      down vote

      favorite
      1









      up vote
      2
      down vote

      favorite
      1






      1





      The premise of the puzzle is quite simple. Here's how to set it up.




      1. Draw a 5x5 grid of squares.


      2. Write the number 1 in the middle.


      3. Make a "snake" of numbers up to 25 so that each number is orthogonal from the previous number AND the next number.


      4. Divide the grid into the pentominoes formed by the numbers 1-5, 6-10, 11-15, 16-20, and 21-25.


      5. If no two of the pentominoes are the same when rotated or reflected, you win. If two or more are, then you lose.




      Example:



      sorry for bad quality



      This fails because 6-10 and 11-15 are the same, as are 16-20 and 21-25.



      Is it possible to win this game? If your answer is no, prove it. If your answer is yes, give an example.



      (I don't quite know how to tag this, feel free to edit some other tags in.)






      tiling polyomino







      share|improve this question















      The premise of the puzzle is quite simple. Here's how to set it up.




      1. Draw a 5x5 grid of squares.


      2. Write the number 1 in the middle.


      3. Make a "snake" of numbers up to 25 so that each number is orthogonal from the previous number AND the next number.


      4. Divide the grid into the pentominoes formed by the numbers 1-5, 6-10, 11-15, 16-20, and 21-25.


      5. If no two of the pentominoes are the same when rotated or reflected, you win. If two or more are, then you lose.




      Example:



      sorry for bad quality



      This fails because 6-10 and 11-15 are the same, as are 16-20 and 21-25.



      Is it possible to win this game? If your answer is no, prove it. If your answer is yes, give an example.



      (I don't quite know how to tag this, feel free to edit some other tags in.)






      tiling polyomino




      tiling polyomino






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 37 mins ago









      Weather Vane

      7589




      7589










      asked 55 mins ago









      Excited Raichu

      3,485441




      3,485441




















          2 Answers
          2






          active

          oldest

          votes

















          up vote
          4
          down vote



          accepted










          If I understand the game correctly,




          21,22,23,24,25

          20,11,10, 9, 8

          19,12, 1, 2, 7

          18,13,14, 3, 6

          17,16,15, 4, 5







          share|improve this answer
















          • 1




            I had a rotation of this. Well done!
            – Excited Raichu
            34 mins ago

















          up vote
          3
          down vote













          I guess, I'm too late, but I propose




          [A possible way]1







          share|improve this answer










          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.

















          • Nice! And looks "prettier" than mine!
            – Greg
            28 mins ago










          Your Answer





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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          4
          down vote



          accepted










          If I understand the game correctly,




          21,22,23,24,25

          20,11,10, 9, 8

          19,12, 1, 2, 7

          18,13,14, 3, 6

          17,16,15, 4, 5







          share|improve this answer
















          • 1




            I had a rotation of this. Well done!
            – Excited Raichu
            34 mins ago














          up vote
          4
          down vote



          accepted










          If I understand the game correctly,




          21,22,23,24,25

          20,11,10, 9, 8

          19,12, 1, 2, 7

          18,13,14, 3, 6

          17,16,15, 4, 5







          share|improve this answer
















          • 1




            I had a rotation of this. Well done!
            – Excited Raichu
            34 mins ago












          up vote
          4
          down vote



          accepted







          up vote
          4
          down vote



          accepted






          If I understand the game correctly,




          21,22,23,24,25

          20,11,10, 9, 8

          19,12, 1, 2, 7

          18,13,14, 3, 6

          17,16,15, 4, 5







          share|improve this answer












          If I understand the game correctly,




          21,22,23,24,25

          20,11,10, 9, 8

          19,12, 1, 2, 7

          18,13,14, 3, 6

          17,16,15, 4, 5








          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 45 mins ago









          Greg

          1,680314




          1,680314







          • 1




            I had a rotation of this. Well done!
            – Excited Raichu
            34 mins ago












          • 1




            I had a rotation of this. Well done!
            – Excited Raichu
            34 mins ago







          1




          1




          I had a rotation of this. Well done!
          – Excited Raichu
          34 mins ago




          I had a rotation of this. Well done!
          – Excited Raichu
          34 mins ago










          up vote
          3
          down vote













          I guess, I'm too late, but I propose




          [A possible way]1







          share|improve this answer










          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.

















          • Nice! And looks "prettier" than mine!
            – Greg
            28 mins ago














          up vote
          3
          down vote













          I guess, I'm too late, but I propose




          [A possible way]1







          share|improve this answer










          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.

















          • Nice! And looks "prettier" than mine!
            – Greg
            28 mins ago












          up vote
          3
          down vote










          up vote
          3
          down vote









          I guess, I'm too late, but I propose




          [A possible way]1







          share|improve this answer










          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.









          I guess, I'm too late, but I propose




          [A possible way]1








          share|improve this answer










          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.









          share|improve this answer



          share|improve this answer








          edited 29 mins ago









          gabbo1092

          2,945530




          2,945530






          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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          answered 30 mins ago









          beemaad

          414




          414




          New contributor




          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.





          New contributor





          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.






          beemaad is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
          Check out our Code of Conduct.











          • Nice! And looks "prettier" than mine!
            – Greg
            28 mins ago
















          • Nice! And looks "prettier" than mine!
            – Greg
            28 mins ago















          Nice! And looks "prettier" than mine!
          – Greg
          28 mins ago




          Nice! And looks "prettier" than mine!
          – Greg
          28 mins ago

















           

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