Expositio paper exp-20261014-8b98c9
Hilbert's Third Problem
Hilbert's Third Problem asks whether, given two polyhedra of the same volume, it is possible to cut one into finitely many polyhedra and rearrange the pieces into the other one. In these notes, we will answer this question and study the surrounding mathematic…
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Abstract
Hilbert's Third Problem asks whether, given two polyhedra of the same volume, it is possible to cut one into finitely many polyhedra and rearrange the pieces into the other one. In these notes, we will answer this question and study the surrounding mathematics. The notes conclude with a selection of problems on Hilbert's Third Problem and related topics.
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