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Cutting a Polygon into Triangles of Equal Areas

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Abstract

This column is a place for those bits of contagious mathematics that travel from person to person in the community, because they are so elegant, suprising, or appealing that one has an urge to pass them on. Contributions are most welcome.

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References

  1. E. A. Kasimatis, Dissections of regular polygons into triangles of equal areas,Discrete and Comp. Geometry 4 (1989), 375–381.

    Article  MATH  MathSciNet  Google Scholar 

  2. , and S. Stein, Equidissections of polygons,Discrete Math. 85 (1990), 281–294

    Article  MATH  MathSciNet  Google Scholar 

  3. D. G. Mead, Dissection of hypercubes into simplices,Proc. Amer. Math. Soc. 76 (1979), 302–304.

    Article  MATH  MathSciNet  Google Scholar 

  4. P. Monsky, On dividing a square into triangles,Amer. Math. Monthly 77 (1970), 161–164.

    Article  MATH  MathSciNet  Google Scholar 

  5. ——, A conjecture of Stein on plane dissections,Math. Zeit. 205 (1990), 583–592.

    Article  MATH  MathSciNet  Google Scholar 

  6. I. Praton, Cutting Polyominos into Equal-Area Triangles,Amer. Math. Monthly 109 (2002) 818–826.

    Article  MATH  MathSciNet  Google Scholar 

  7. F. Richman and J. Thomas, Problem 5471,Amer. Math. Monthly 74 (1967), 329.

    Article  MathSciNet  Google Scholar 

  8. S. Stein, Equidissections of centrally symmetric octagons,Aequationes Math. 37 (1989), 313–318.

    Article  MATH  MathSciNet  Google Scholar 

  9. S. Stein and S. Szabo, Algebra and Tiling,Mathematical Association of America, Washington, D. C. 1994.

  10. —— Cutting a polyomino into triangles of equal areas,Amer. Math. Monthly 106 (1999), 255–257.

    Article  MathSciNet  Google Scholar 

  11. —— A generalized conjecture abourt cutting a polygon into triangles of equal areas,Discrete and Comp. Geometry 24 (2000), 141–145

    Article  MATH  Google Scholar 

  12. J. Thomas, A dissection problem,Math. Mag. 41 (1968), 187–190.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California Davis, 1 Shields Avenue Davis, 95616-8633, Davis, CA

    Sherman Stein

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  1. Sherman Stein
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Correspondence to Sherman Stein.

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Stein, S. Cutting a Polygon into Triangles of Equal Areas. The Mathematical Intelligencer 26, 17–21 (2004). https://doi.org/10.1007/BF02985395

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