Computational Geometry and Mesh GenerationStructural Analysis and OptimizationOptics and Image Analysis
C. Bishop
2026.3.11AMERICAN MATHEMATICAL MONTHLY
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
Citation format
BISHOP, C. Equi-triangulation of polygons. AMERICAN MATHEMATICAL MONTHLY, 2026, 133(5): 407–421.