Cutting a cross made of 5 equal squares by 2 straight cut into 4 figure to together form a squre

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











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A figure consists of 5 equal squares in form of a cross. Show how to divide it by two straight cut into 4 equal figures which will fit together to form a square.
A mse told need to cut it from the vertices but how?






logical-deduction







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  • It's a popular puzzle. Here's a video solution
    – rhsquared
    2 hours ago















up vote
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down vote

favorite
1












A figure consists of 5 equal squares in form of a cross. Show how to divide it by two straight cut into 4 equal figures which will fit together to form a square.
A mse told need to cut it from the vertices but how?






logical-deduction







share|improve this question







New contributor




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



















  • It's a popular puzzle. Here's a video solution
    – rhsquared
    2 hours ago













up vote
1
down vote

favorite
1









up vote
1
down vote

favorite
1






1





A figure consists of 5 equal squares in form of a cross. Show how to divide it by two straight cut into 4 equal figures which will fit together to form a square.
A mse told need to cut it from the vertices but how?






logical-deduction







share|improve this question







New contributor




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











A figure consists of 5 equal squares in form of a cross. Show how to divide it by two straight cut into 4 equal figures which will fit together to form a square.
A mse told need to cut it from the vertices but how?






logical-deduction




logical-deduction






share|improve this question







New contributor




Aman Verma 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 question







New contributor




Aman Verma 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 question




share|improve this question






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Aman Verma is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked 5 hours ago









Aman Verma

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New contributor





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






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











  • It's a popular puzzle. Here's a video solution
    – rhsquared
    2 hours ago

















  • It's a popular puzzle. Here's a video solution
    – rhsquared
    2 hours ago
















It's a popular puzzle. Here's a video solution
– rhsquared
2 hours ago





It's a popular puzzle. Here's a video solution
– rhsquared
2 hours ago











2 Answers
2






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up vote
2
down vote













Like this (not like the commented link):




enter image description here




Curiously there is




The same cross inside but tilted.




A different arrangement makes two squares:




enter image description here







share|improve this answer





























    up vote
    1
    down vote













    Here is a good way of seeing how this dissection comes about.




    The cross shape tiles the plane in a regular way. If you pick any point inside a cross, and mark the same point in all the crosses of the tiling, you get a grid of points that can be connected to form a grid of squares. Those grid-lines split up the crosses into pieces which also form the squares in that grid.
    enter image description here

    If the grid intersection lies anywhere in the middle square of the cross, then there will only be four pieces. If you put the grid intersection too far into one of the arms of the cross, then you will get five pieces.

    You can let the grid lines go exactly through the vertices, but I deliberately did not do so in my picture to illustrate the fact that it is a more general solution.







    share|improve this 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
      2
      down vote













      Like this (not like the commented link):




      enter image description here




      Curiously there is




      The same cross inside but tilted.




      A different arrangement makes two squares:




      enter image description here







      share|improve this answer


























        up vote
        2
        down vote













        Like this (not like the commented link):




        enter image description here




        Curiously there is




        The same cross inside but tilted.




        A different arrangement makes two squares:




        enter image description here







        share|improve this answer
























          up vote
          2
          down vote










          up vote
          2
          down vote









          Like this (not like the commented link):




          enter image description here




          Curiously there is




          The same cross inside but tilted.




          A different arrangement makes two squares:




          enter image description here







          share|improve this answer














          Like this (not like the commented link):




          enter image description here




          Curiously there is




          The same cross inside but tilted.




          A different arrangement makes two squares:




          enter image description here








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 2 hours ago

























          answered 2 hours ago









          Weather Vane

          3977




          3977




















              up vote
              1
              down vote













              Here is a good way of seeing how this dissection comes about.




              The cross shape tiles the plane in a regular way. If you pick any point inside a cross, and mark the same point in all the crosses of the tiling, you get a grid of points that can be connected to form a grid of squares. Those grid-lines split up the crosses into pieces which also form the squares in that grid.
              enter image description here

              If the grid intersection lies anywhere in the middle square of the cross, then there will only be four pieces. If you put the grid intersection too far into one of the arms of the cross, then you will get five pieces.

              You can let the grid lines go exactly through the vertices, but I deliberately did not do so in my picture to illustrate the fact that it is a more general solution.







              share|improve this answer
























                up vote
                1
                down vote













                Here is a good way of seeing how this dissection comes about.




                The cross shape tiles the plane in a regular way. If you pick any point inside a cross, and mark the same point in all the crosses of the tiling, you get a grid of points that can be connected to form a grid of squares. Those grid-lines split up the crosses into pieces which also form the squares in that grid.
                enter image description here

                If the grid intersection lies anywhere in the middle square of the cross, then there will only be four pieces. If you put the grid intersection too far into one of the arms of the cross, then you will get five pieces.

                You can let the grid lines go exactly through the vertices, but I deliberately did not do so in my picture to illustrate the fact that it is a more general solution.







                share|improve this answer






















                  up vote
                  1
                  down vote










                  up vote
                  1
                  down vote









                  Here is a good way of seeing how this dissection comes about.




                  The cross shape tiles the plane in a regular way. If you pick any point inside a cross, and mark the same point in all the crosses of the tiling, you get a grid of points that can be connected to form a grid of squares. Those grid-lines split up the crosses into pieces which also form the squares in that grid.
                  enter image description here

                  If the grid intersection lies anywhere in the middle square of the cross, then there will only be four pieces. If you put the grid intersection too far into one of the arms of the cross, then you will get five pieces.

                  You can let the grid lines go exactly through the vertices, but I deliberately did not do so in my picture to illustrate the fact that it is a more general solution.







                  share|improve this answer












                  Here is a good way of seeing how this dissection comes about.




                  The cross shape tiles the plane in a regular way. If you pick any point inside a cross, and mark the same point in all the crosses of the tiling, you get a grid of points that can be connected to form a grid of squares. Those grid-lines split up the crosses into pieces which also form the squares in that grid.
                  enter image description here

                  If the grid intersection lies anywhere in the middle square of the cross, then there will only be four pieces. If you put the grid intersection too far into one of the arms of the cross, then you will get five pieces.

                  You can let the grid lines go exactly through the vertices, but I deliberately did not do so in my picture to illustrate the fact that it is a more general solution.








                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 2 hours ago









                  Jaap Scherphuis

                  12.7k12256




                  12.7k12256




















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