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This post adds a bit to Partitioning convex polygons into quadrilaterals of equal area and perimeter

Question: How does one achieve the partition of any given convex n-gon into the least number of equal area convex quadrilaterals? Note: The answer in above linked discussion shows that any convex n-gon can be cut into some finite number of convex quads.

Further question: Can any general (non-convex) n-gon be cut into some finite number of equal area quadrilaterals which are not necessarily convex? If so, how does one achieve the least number of such quads?

Note: Equal perimeter versions of these questions can also be asked.

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