Partitioning polygons, from scissors to generalizations

Authors

  • Luis Agustín Cárdenas Pena Universidad de Talca

DOI:

https://doi.org/10.33044/revem.29729

Keywords:

Dissections, Polygons, Golden-ratio, Wallace–Bolyai–Gerwien

Abstract

This article illustrates how a problem posed in the contest “El Número de Oro” might impulse mathematical enthusiasm and induce addressing a more general question in a natural way. Studying the problem culminates on the rediscover of a general theorem with an aesthetically appealing, always keeping the geometric treatment elementary.

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References

Hartshorne, R. (2000). Geometry: Euclid and beyond (1. A., korr. Nachdruck 2002. ed.). Springer.

McFarland, A., McFarland, J., Smith, J., y Grattan-Guinness, I. (2014). Alfred tarski: Early work in poland - geometry and teaching. Birkhauser.

Published

2020-07-30

How to Cite

Cárdenas Pena, L. A. (2020). Partitioning polygons, from scissors to generalizations. Revista De Educación Matemática, 35(2), 51–69. https://doi.org/10.33044/revem.29729

Issue

Section

Artículos de Matemática