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More on cutting a polygon into triangles of equal areas

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Hebei Normal University, 050016, Shijiazhuang, P. R. China

    Yatao Du & Ren Ding

Authors
  1. Yatao Du
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  2. Ren Ding
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Correspondence to Ren Ding.

Additional information

Yatao Du received her BSc and MSc and Ph. D from the Hebei Normal University under the direction of Prof. Ren Ding. Her research interests focus on discrete geometry, convex geometry and combinatorial geometry.

Ren Ding is a professor of mathematics, supervising Ph. D. programs at Hebei Normal University. His research interests focus on discrete geometry, convex geometry and combinatorial geometry.

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Du, Y., Ding, R. More on cutting a polygon into triangles of equal areas. JAMC 17, 259–267 (2005). https://doi.org/10.1007/BF02936053

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  • DOI: https://doi.org/10.1007/BF02936053

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