Is it always possible to separate a convex polygon into four equal areas by 2 orthogonal lines?
What is the evidence?
(A convex polygon is a polygon with a characteristics: given any two points inside the polygon, the line connecting it will be fully inside the polygon.)
I cannot provide evidence, but my feeling is that there is an infinity of such separations. I can't imagine a polygon where it would not be possible.
Yes, it is always possible! I also believe there are infinitely many such separations. However, for a given one line that separates the polygon into two equal parts – there is no necessary another orthogonal one.. So, the first line have to be specia
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