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#### HapaxOromenon

##### New member

- Jun 16, 2019

- 3

By drawing a series of connected straight lines from dot to dot, it is possible to divide the square (which effectively has side length $3$) into two parts of equal area. One way of doing this is as shown:

Other examples of ways of doing this are: ; ; and .

The question I am investigating is how many such ways there are in total, or if such a calculation is too difficult, I would at least like to have a systematic way of listing all of the ways. But I'm not sure really where to start. Any assistance would be greatly appreciated.