Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 718-721.
• Articles • Previous Articles Next Articles
SU Zhan-Jun, DING Ren
Online:
Published:
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:
SU Zhan-Jun, DING Ren. Dissections of Quadrilaterals into Triangles of Equal Areas[J].Acta mathematica scientia,Series A, 2005, 25(5): 718-721.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://121.43.60.238/sxwlxbA/EN/
http://121.43.60.238/sxwlxbA/EN/Y2005/V25/I5/718
[1]Thomas J. A dissection problem. Math Mag, 1968,41:187-190 [2]Monsky P. On dividing a square into triangles. Amer Math Monthly,1970,77:163-164 [3]Mead D G. Dissection of a hypercube intosimplices. Proc Amer Math Soc,1979,76:302-304 [4]Kasimatis E A. Dissections of regular polygons into triangles of equal areas.Discrete and Computational Geometry,1989,4:375-381 [5]Stein S. Algebra Tiling. Washington D C: The Mathematical Association o f America, 1994 [6]Kasimatis E A, Stein S K. Equidissections of polygons. Discrete Math,1990,85:281-294
Cited