Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 718-721.

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Dissections of Quadrilaterals into Triangles of Equal Areas

 SU Zhan-Jun, DING Ren   

  • Online:2005-10-25 Published:2005-10-25
  • Supported by:

    河北省自然科学基金(A2005000144)、河北师范大学青年基金(L2003Q03)资助

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.

Key words: Valuation;Complete;Equidissection;The spectrum of polygon

CLC Number: 

  • 52C15
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