Equi-Triangulation of Polygons

American Mathematical Monthly 2026

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Authors: Christopher J. Bishop
DOI: 10.1080/00029890.2026.2621642
Cited by: 0
References: 17

Abstract

We prove that any two polygons with the same area can be triangulated using the same set of triangles. This strengthens the 200-year-old Wallace–Bolyai–Gerwien theorem that equal area polygons have an equi-dissection.MSC 68U05, 37E05

Fields of Study & Subjects

Mathematics and Applications Computational Geometry and Mesh Generation Advanced Combinatorial Mathematics

Publication details

Journal / source
American Mathematical Monthly
Volume
133
Issue
5
Pages
407–421
Publication date
11 March 2026
Language
EN