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Statue Park: Five


Five keys, five doors, seven guards, and only seven questionsFirst to Five PointsFive SlitherlinksFive Letter Cryptex CodeThe Ludicrous Loop: over a thousand cells of circular logic!Five Hats and Three LogiciansFive balls weighingStatue Park (Loop)Diabolical Deceptions: A 333rd Birthday Tribute to J.S. BachModified Intersection Puzzle













2












$begingroup$


This is a Statue Park puzzle (originally constructed for the 2019 24-Hour Puzzle Championship, as part of a Tarot card themed set -- no prizes for guessing which rank this puzzle was).



Rules of Statue Park:



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

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

  • All unshaded cells must be (orthogonally) connected.

  • Any cells with black circles must be shaded; any cells with white circles must be unshaded.

6x15 Statue Park puzzle, with piece bank that looks like "FIVE."










share|improve this question









$endgroup$
















    2












    $begingroup$


    This is a Statue Park puzzle (originally constructed for the 2019 24-Hour Puzzle Championship, as part of a Tarot card themed set -- no prizes for guessing which rank this puzzle was).



    Rules of Statue Park:



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

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

    • All unshaded cells must be (orthogonally) connected.

    • Any cells with black circles must be shaded; any cells with white circles must be unshaded.

    6x15 Statue Park puzzle, with piece bank that looks like "FIVE."










    share|improve this question









    $endgroup$














      2












      2








      2





      $begingroup$


      This is a Statue Park puzzle (originally constructed for the 2019 24-Hour Puzzle Championship, as part of a Tarot card themed set -- no prizes for guessing which rank this puzzle was).



      Rules of Statue Park:



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

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

      • All unshaded cells must be (orthogonally) connected.

      • Any cells with black circles must be shaded; any cells with white circles must be unshaded.

      6x15 Statue Park puzzle, with piece bank that looks like "FIVE."










      share|improve this question









      $endgroup$




      This is a Statue Park puzzle (originally constructed for the 2019 24-Hour Puzzle Championship, as part of a Tarot card themed set -- no prizes for guessing which rank this puzzle was).



      Rules of Statue Park:



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

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

      • All unshaded cells must be (orthogonally) connected.

      • Any cells with black circles must be shaded; any cells with white circles must be unshaded.

      6x15 Statue Park puzzle, with piece bank that looks like "FIVE."







      logical-deduction grid-deduction






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 51 mins ago









      DeusoviDeusovi

      64.6k6223281




      64.6k6223281




















          1 Answer
          1






          active

          oldest

          votes


















          2












          $begingroup$

          I believe this does the trick:




          soln




          Rough line of reasoning:




          The whole width of the puzzle is just enough to fit the four letters upright (putting any of them sideways won't work). The problem is the last 2 x 1 piece. This must go in the gap between two letters somehow.


          Observe that for the white squares to stay contiguous, the I must be the second letter. It can't fit in the third space, and if it were in the first or fourth then it would close off a set of white squares.


          With the I in place, we conjecture that the concave shape of the I's sides will permit the fitting of the 2 x 1 piece, combined with the empty space in the bottom half of the F. A quick thought confirms that the 2 x 1 piece cannot possibly fit between any other two letters. After trying to unsuccessfully fit the F in the leftmost spot such that there is room for the 2 x 1 piece, we can deduce that the F must be in the third place, to the immediate right of the I. We can find the correct placement of the F and the 2 x 1 piece from there. The rest is trivial.







          share|improve this answer









          $endgroup$













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            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            2












            $begingroup$

            I believe this does the trick:




            soln




            Rough line of reasoning:




            The whole width of the puzzle is just enough to fit the four letters upright (putting any of them sideways won't work). The problem is the last 2 x 1 piece. This must go in the gap between two letters somehow.


            Observe that for the white squares to stay contiguous, the I must be the second letter. It can't fit in the third space, and if it were in the first or fourth then it would close off a set of white squares.


            With the I in place, we conjecture that the concave shape of the I's sides will permit the fitting of the 2 x 1 piece, combined with the empty space in the bottom half of the F. A quick thought confirms that the 2 x 1 piece cannot possibly fit between any other two letters. After trying to unsuccessfully fit the F in the leftmost spot such that there is room for the 2 x 1 piece, we can deduce that the F must be in the third place, to the immediate right of the I. We can find the correct placement of the F and the 2 x 1 piece from there. The rest is trivial.







            share|improve this answer









            $endgroup$

















              2












              $begingroup$

              I believe this does the trick:




              soln




              Rough line of reasoning:




              The whole width of the puzzle is just enough to fit the four letters upright (putting any of them sideways won't work). The problem is the last 2 x 1 piece. This must go in the gap between two letters somehow.


              Observe that for the white squares to stay contiguous, the I must be the second letter. It can't fit in the third space, and if it were in the first or fourth then it would close off a set of white squares.


              With the I in place, we conjecture that the concave shape of the I's sides will permit the fitting of the 2 x 1 piece, combined with the empty space in the bottom half of the F. A quick thought confirms that the 2 x 1 piece cannot possibly fit between any other two letters. After trying to unsuccessfully fit the F in the leftmost spot such that there is room for the 2 x 1 piece, we can deduce that the F must be in the third place, to the immediate right of the I. We can find the correct placement of the F and the 2 x 1 piece from there. The rest is trivial.







              share|improve this answer









              $endgroup$















                2












                2








                2





                $begingroup$

                I believe this does the trick:




                soln




                Rough line of reasoning:




                The whole width of the puzzle is just enough to fit the four letters upright (putting any of them sideways won't work). The problem is the last 2 x 1 piece. This must go in the gap between two letters somehow.


                Observe that for the white squares to stay contiguous, the I must be the second letter. It can't fit in the third space, and if it were in the first or fourth then it would close off a set of white squares.


                With the I in place, we conjecture that the concave shape of the I's sides will permit the fitting of the 2 x 1 piece, combined with the empty space in the bottom half of the F. A quick thought confirms that the 2 x 1 piece cannot possibly fit between any other two letters. After trying to unsuccessfully fit the F in the leftmost spot such that there is room for the 2 x 1 piece, we can deduce that the F must be in the third place, to the immediate right of the I. We can find the correct placement of the F and the 2 x 1 piece from there. The rest is trivial.







                share|improve this answer









                $endgroup$



                I believe this does the trick:




                soln




                Rough line of reasoning:




                The whole width of the puzzle is just enough to fit the four letters upright (putting any of them sideways won't work). The problem is the last 2 x 1 piece. This must go in the gap between two letters somehow.


                Observe that for the white squares to stay contiguous, the I must be the second letter. It can't fit in the third space, and if it were in the first or fourth then it would close off a set of white squares.


                With the I in place, we conjecture that the concave shape of the I's sides will permit the fitting of the 2 x 1 piece, combined with the empty space in the bottom half of the F. A quick thought confirms that the 2 x 1 piece cannot possibly fit between any other two letters. After trying to unsuccessfully fit the F in the leftmost spot such that there is room for the 2 x 1 piece, we can deduce that the F must be in the third place, to the immediate right of the I. We can find the correct placement of the F and the 2 x 1 piece from there. The rest is trivial.








                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 27 mins ago









                greenturtle3141greenturtle3141

                5,69012154




                5,69012154



























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