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Discrete & Computational Geometry

, Volume 24, Issue 1, pp 141–145 | Cite as

A Generalized Conjecture about Cutting a Polygon into Triangles of Equal Areas

  • S. Stein

Abstract.

In 1970 it was proved that a square cannot be cut into an odd number of triangles of equal areas. In 1990 it was proved that any centrally symmetric polygon has that property. In the present paper we propose a broad generalization, which would also imply that any polygon whose edges are parallel to the x - or y -axes has that property. We prove that the generalization holds for polygons with at most six sides.

Keywords

Equal Area Broad Generalization Generalize Conjecture Symmetric Polygon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag New York Inc. 2000

Authors and Affiliations

  • S. Stein
    • 1
  1. 1.Department of Mathematics, University of California at Davis, 1 Shields Avenue, Davis, CA 95616-8633, USA stein@math.ucdavis.eduUS

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