A New Approach to Hilbert's Third Problem

2007/10/01 by Dávid Benkő · 14 citations
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paper · doi:10.1080/00029890.2007.11920458

published in American Mathematical Monthly 114(8), 665-676 (Taylor & Francis)

openalex publication_date 2007/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

decompose one of them into a finite number of polygons that can be rearranged to form the second polygon. This is the well-known Bolyai-Gerwien theorem [3, pp. 49–56]. One might ask whether this is true in space for polyhedra. In fact, F. Bolyai and Gauss had already asked this around 1844. Hilbert raised this question again: it was the third

Citations

• Conditions nécessaires et suffisantes pour l’équivalence des polyèdres de l’espace euclidien à trois dimensions
• Mathematical problems

Cited by

• Dehn invariant [wikipedia]

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