More on cutting a polygon into triangles of equal areas
- 46 Downloads
In 2000 a general conjecture was proposed:a special polygon cannot be cut into an odd number of triangles of equal areas. It has been proved that the conjecture holds for polygons with at most six sides. In this paper we prove the existence of specialn-polygon for any integern>6 and discuss the conjecture for special polygons with seven sides.
AMS Mathematical Subject Classification52C45
Keywords and phrasesEquidissection odd equidissection special polygon 2-adic valuation
Unable to display preview. Download preview PDF.
- 5.S. Stein and S. Szabo,Algebra and tiling, The Mathematical Association of America, 1994Google Scholar
- 7.Qi Duan, Tzer-Shyong Chen, K. Djidjeli, W. G. Price and E. H. Twizell,Convex control and approximation properties of interpolating curves, Korean J. Comput. & Appl. Math. May (2000), 397-.Google Scholar
- 8.Zhaoxiang Li and Yanpei Liu,Chromatic sum of nonseperable simple maps on the plane, J. Appl. Math. & Computing12(1–2) (2003), 120—.Google Scholar