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- Hilbert's_third_problem abstract "The third on Hilbert's list of mathematical problems, presented in 1900, was the first to be solved. The problem is related to the following question: given any two polyhedra of equal volume, is it always possible to cut the first into finitely many polyhedral pieces which can be reassembled to yield the second? Based on earlier writings by Gauss, Hilbert conjectured that this is not always possible. This was confirmed within the year by his student Max Dehn, who proved that the answer in general is "no" by producing a counterexample.The answer for the analogous question about polygons in 2 dimensions is "yes" and had been known for a long time; this is the Bolyai–Gerwien theorem.".
- Hilbert's_third_problem wikiPageExternalLink Dehn%2520invariant.
- Hilbert's_third_problem wikiPageExternalLink Proof%2520for%2520Hilbert%2527s%2520third%2520problem.
- Hilbert's_third_problem wikiPageExternalLink view?rid=comahe-002:1965-1966:40::67&id=browse&id2=&id3=.
- Hilbert's_third_problem wikiPageExternalLink dehn_sydler.pdf.
- Hilbert's_third_problem wikiPageID "152703".
- Hilbert's_third_problem wikiPageRevisionID "606234820".
- Hilbert's_third_problem date "November 2011".
- Hilbert's_third_problem first "M.".
- Hilbert's_third_problem hasPhotoCollection Hilbert's_third_problem.
- Hilbert's_third_problem id "DehnInvariant".
- Hilbert's_third_problem id "Dehn_invariant".
- Hilbert's_third_problem last "Hazewinkel".
- Hilbert's_third_problem oldid "13481".
- Hilbert's_third_problem reason "What makes this simpler? Without knowing, it's extra confusion.".
- Hilbert's_third_problem title "Dehn Invariant".
- Hilbert's_third_problem title "Dehn invariant".
- Hilbert's_third_problem subject Category:Euclidean_solid_geometry.
- Hilbert's_third_problem subject Category:Geometric_dissection.
- Hilbert's_third_problem subject Category:Hilbert's_problems.
- Hilbert's_third_problem type Abstraction100002137.
- Hilbert's_third_problem type Attribute100024264.
- Hilbert's_third_problem type Condition113920835.
- Hilbert's_third_problem type Difficulty114408086.
- Hilbert's_third_problem type Hilbert'sProblems.
- Hilbert's_third_problem type Problem114410605.
- Hilbert's_third_problem type State100024720.
- Hilbert's_third_problem comment "The third on Hilbert's list of mathematical problems, presented in 1900, was the first to be solved. The problem is related to the following question: given any two polyhedra of equal volume, is it always possible to cut the first into finitely many polyhedral pieces which can be reassembled to yield the second? Based on earlier writings by Gauss, Hilbert conjectured that this is not always possible.".
- Hilbert's_third_problem label "Derde probleem van Hilbert".
- Hilbert's_third_problem label "Hilbert's third problem".
- Hilbert's_third_problem label "Terceiro problema de Hilbert".
- Hilbert's_third_problem label "Troisième problème de Hilbert".
- Hilbert's_third_problem label "Третья проблема Гильберта".
- Hilbert's_third_problem label "希爾伯特第三問題".
- Hilbert's_third_problem sameAs Troisième_problème_de_Hilbert.
- Hilbert's_third_problem sameAs Derde_probleem_van_Hilbert.
- Hilbert's_third_problem sameAs Terceiro_problema_de_Hilbert.
- Hilbert's_third_problem sameAs m.013xnj.
- Hilbert's_third_problem sameAs Q2667025.
- Hilbert's_third_problem sameAs Q2667025.
- Hilbert's_third_problem sameAs Hilbert's_third_problem.
- Hilbert's_third_problem wasDerivedFrom Hilbert's_third_problem?oldid=606234820.
- Hilbert's_third_problem isPrimaryTopicOf Hilbert's_third_problem.