# Thread: Dividing an "L"-shape into 4 equal pieces?

1. ## 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!

2. 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

3. I appreciate the help, but to be honest, I didn't understand any of that.

4. I now know the answer to the problem. This is what I was looking for:

5. 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.

6. 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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# diivde 3 squares in 4 equal parts

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