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Math Help - Dividing an "L"-shape into 4 equal pieces?

  1. #1
    Newbie Dried Monkey's Avatar
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    Dividing an "L"-shape into 4 equal pieces?

    Hey, everyone. At school today, I was told to find out how to divide a shape like this into 4 equal pieces. It's a bonus question due tomorrow. I made this image in MS Paint. The measurements are approximated. Please act as if this is made of 3 equal squares. Thank you!
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  2. #2
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    simple well fairly after some time thinking it thru divide it into the original 3 squares then divide them into 4 using diagonals through the corners then you can take 3/4 each square and make 4 equal sized parts
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  3. #3
    Newbie Dried Monkey's Avatar
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    I appreciate the help, but to be honest, I didn't understand any of that.
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  4. #4
    Newbie Dried Monkey's Avatar
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    I now know the answer to the problem. This is what I was looking for:
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  5. #5
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    Similarly, you can easily divide a triangle into 4 smaller triangles of equal size by connecting the midpoints of the sides. There is a whole branch of mathematics that deals with objects that are the same shape and size, and it is known as tiling or tessellation.
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  6. #6
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    Martin Gardner discussed this type of dissection in one of his many books.
    . . He called them Rep-tiles.

    One of my favorite shapes is the Sphinx.
    Code:
                  *
                 / \
                /   \
               /     \
              /   * - * - - - *
             /   / \         / \
            * - *   \   * - *   \
           /         \ /         \
          * - - - - - * - - - - - *
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