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Journal of Applied Mathematics and Computing

, Volume 13, Issue 1–2, pp 29–36 | Cite as

Dissections of polygons into triangles of equal areas

  • Zhanjun Su
  • Ren Ding
Article
  • 52 Downloads

Abstract

In 1970 Monsky proved that a square cannot be cut into an odd number of triangles of equal areas. In 1990 it was proved that the statement is true for any centrally symmetric polygon. In the present paper we consider dissections of general polygons into triangles of equal areas.

AMS Mathematical Subject Classification

52C15 

Keywords and phrases

polygon valuation theory tiling complete spectrum algebraic transcendental 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2003

Authors and Affiliations

  1. 1.Department of MathematicsHebei Normal UniversityShijiazhuangPeople's Republic of China

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