A Generalized Conjecture about Cutting a Polygon into Triangles of Equal Areas
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In 1970 it was proved that a square cannot be cut into an odd number of triangles of equal areas. In 1990 it was proved that any centrally symmetric polygon has that property. In the present paper we propose a broad generalization, which would also imply that any polygon whose edges are parallel to the x - or y -axes has that property. We prove that the generalization holds for polygons with at most six sides.