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A pyramid from a square


Squaring the new yearFind smallest rectangle divided into figures so each figure has 5 neighboursDissecting a squareFair share of a square watermelon?Four Birds + OneMake a tetrahedral pyramid with these puzzle pieces.Dissecting the holey octomino into a squareBuilding a pyramid from di-spheresMaximal-volume cube net from unit square paperCombine two squares into a square with the sum of the two






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4












$begingroup$


Given a square piece of paper. Cut it into 4 pieces that could be used to create a right angle pyramid - the 4 pieces are the faces of the pyramid.










share|improve this question











$endgroup$


















    4












    $begingroup$


    Given a square piece of paper. Cut it into 4 pieces that could be used to create a right angle pyramid - the 4 pieces are the faces of the pyramid.










    share|improve this question











    $endgroup$














      4












      4








      4





      $begingroup$


      Given a square piece of paper. Cut it into 4 pieces that could be used to create a right angle pyramid - the 4 pieces are the faces of the pyramid.










      share|improve this question











      $endgroup$




      Given a square piece of paper. Cut it into 4 pieces that could be used to create a right angle pyramid - the 4 pieces are the faces of the pyramid.







      geometry three-dimensional construction






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 8 hours ago







      Moti

















      asked 9 hours ago









      MotiMoti

      9555 silver badges18 bronze badges




      9555 silver badges18 bronze badges




















          2 Answers
          2






          active

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          5












          $begingroup$

          I think you could make cuts as follows




          enter image description here

          so that $a$ and $b$ are the midpoints of the sides of the square.


          Then, the three triangles surrounding the central triangle can be folded up along their adjoining edges to create a pyramid.







          share|improve this answer









          $endgroup$




















            1












            $begingroup$

            How about this cut? (With Region A as the base of the pyramid)










            share|improve this answer









            $endgroup$












            • $begingroup$
              Seems to be exactly the same as the answer that preceded yours by a few minutes.
              $endgroup$
              – msh210
              8 hours ago










            • $begingroup$
              It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
              $endgroup$
              – Michael Moschella
              5 hours 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









            5












            $begingroup$

            I think you could make cuts as follows




            enter image description here

            so that $a$ and $b$ are the midpoints of the sides of the square.


            Then, the three triangles surrounding the central triangle can be folded up along their adjoining edges to create a pyramid.







            share|improve this answer









            $endgroup$

















              5












              $begingroup$

              I think you could make cuts as follows




              enter image description here

              so that $a$ and $b$ are the midpoints of the sides of the square.


              Then, the three triangles surrounding the central triangle can be folded up along their adjoining edges to create a pyramid.







              share|improve this answer









              $endgroup$















                5












                5








                5





                $begingroup$

                I think you could make cuts as follows




                enter image description here

                so that $a$ and $b$ are the midpoints of the sides of the square.


                Then, the three triangles surrounding the central triangle can be folded up along their adjoining edges to create a pyramid.







                share|improve this answer









                $endgroup$



                I think you could make cuts as follows




                enter image description here

                so that $a$ and $b$ are the midpoints of the sides of the square.


                Then, the three triangles surrounding the central triangle can be folded up along their adjoining edges to create a pyramid.








                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 8 hours ago









                hexominohexomino

                56.1k5 gold badges161 silver badges258 bronze badges




                56.1k5 gold badges161 silver badges258 bronze badges























                    1












                    $begingroup$

                    How about this cut? (With Region A as the base of the pyramid)










                    share|improve this answer









                    $endgroup$












                    • $begingroup$
                      Seems to be exactly the same as the answer that preceded yours by a few minutes.
                      $endgroup$
                      – msh210
                      8 hours ago










                    • $begingroup$
                      It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
                      $endgroup$
                      – Michael Moschella
                      5 hours ago















                    1












                    $begingroup$

                    How about this cut? (With Region A as the base of the pyramid)










                    share|improve this answer









                    $endgroup$












                    • $begingroup$
                      Seems to be exactly the same as the answer that preceded yours by a few minutes.
                      $endgroup$
                      – msh210
                      8 hours ago










                    • $begingroup$
                      It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
                      $endgroup$
                      – Michael Moschella
                      5 hours ago













                    1












                    1








                    1





                    $begingroup$

                    How about this cut? (With Region A as the base of the pyramid)










                    share|improve this answer









                    $endgroup$



                    How about this cut? (With Region A as the base of the pyramid)











                    share|improve this answer












                    share|improve this answer



                    share|improve this answer










                    answered 8 hours ago









                    Michael MoschellaMichael Moschella

                    5089 bronze badges




                    5089 bronze badges











                    • $begingroup$
                      Seems to be exactly the same as the answer that preceded yours by a few minutes.
                      $endgroup$
                      – msh210
                      8 hours ago










                    • $begingroup$
                      It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
                      $endgroup$
                      – Michael Moschella
                      5 hours ago
















                    • $begingroup$
                      Seems to be exactly the same as the answer that preceded yours by a few minutes.
                      $endgroup$
                      – msh210
                      8 hours ago










                    • $begingroup$
                      It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
                      $endgroup$
                      – Michael Moschella
                      5 hours ago















                    $begingroup$
                    Seems to be exactly the same as the answer that preceded yours by a few minutes.
                    $endgroup$
                    – msh210
                    8 hours ago




                    $begingroup$
                    Seems to be exactly the same as the answer that preceded yours by a few minutes.
                    $endgroup$
                    – msh210
                    8 hours ago












                    $begingroup$
                    It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
                    $endgroup$
                    – Michael Moschella
                    5 hours ago




                    $begingroup$
                    It is, I was putting together the diagram and as I was posting I was notified the other solution was posted. I'm fairly certain this is a unique solution anyway.
                    $endgroup$
                    – Michael Moschella
                    5 hours ago

















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