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数学物理学报(A辑) 2005
Dissections of Quadrilaterals into Triangles of Equal Areas
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Abstract:
In 1970 Monsky proved the famous Richman conjecture that a square can not be divided into an odd number of triangles of equal areas. In recent years Stein studied the dissections of quadrilaterals into triangles of equal areas and obtained a lot of important results. In the present paper the authors study some open problems about the equidissections of quadrilaterals.