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- Hilberts_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.".
- Hilberts_third_problem wikiPageExternalLink dehn_sydler.pdf.
- Hilberts_third_problem wikiPageExternalLink Dehn%2520invariant.
- Hilberts_third_problem wikiPageExternalLink Proof%2520for%2520Hilbert%2527s%2520third%2520problem.
- Hilberts_third_problem wikiPageID "152703".
- Hilberts_third_problem wikiPageID "152711".
- Hilberts_third_problem wikiPageLength "32".
- Hilberts_third_problem wikiPageLength "7676".
- Hilberts_third_problem wikiPageOutDegree "1".
- Hilberts_third_problem wikiPageOutDegree "42".
- Hilberts_third_problem wikiPageRedirects Hilberts_problems.
- Hilberts_third_problem wikiPageRevisionID "16040883".
- Hilberts_third_problem wikiPageRevisionID "685900673".
- Hilberts_third_problem wikiPageWikiLink Abstract_algebra.
- Hilberts_third_problem wikiPageWikiLink Acta_Mathematica.
- Hilberts_third_problem wikiPageWikiLink Angle_trisection.
- Hilberts_third_problem wikiPageWikiLink Archiv_der_Mathematik.
- Hilberts_third_problem wikiPageWikiLink Børge_Jessen.
- Hilberts_third_problem wikiPageWikiLink Calculus.
- Hilberts_third_problem wikiPageWikiLink Carl_Friedrich_Gauss.
- Hilberts_third_problem wikiPageWikiLink Category:Euclidean_solid_geometry.
- Hilberts_third_problem wikiPageWikiLink Category:Geometric_dissection.
- Hilberts_third_problem wikiPageWikiLink Category:Hilberts_problems.
- Hilberts_third_problem wikiPageWikiLink Cavalieris_principle.
- Hilberts_third_problem wikiPageWikiLink Classical_group.
- Hilberts_third_problem wikiPageWikiLink Commentarii_Mathematici_Helvetici.
- Hilberts_third_problem wikiPageWikiLink Cube.
- Hilberts_third_problem wikiPageWikiLink Dihedral_angle.
- Hilberts_third_problem wikiPageWikiLink Doubling_the_cube.
- Hilberts_third_problem wikiPageWikiLink Euclid.
- Hilberts_third_problem wikiPageWikiLink Geometry.
- Hilberts_third_problem wikiPageWikiLink Hilberts_problems.
- Hilberts_third_problem wikiPageWikiLink Hill_tetrahedron.
- Hilberts_third_problem wikiPageWikiLink Homology_(mathematics).
- Hilberts_third_problem wikiPageWikiLink Honeycomb_(geometry).
- Hilberts_third_problem wikiPageWikiLink Jean-Pierre_Sydler.
- Hilberts_third_problem wikiPageWikiLink Limit_of_a_sequence.
- Hilberts_third_problem wikiPageWikiLink Mathematische_Annalen.
- Hilberts_third_problem wikiPageWikiLink Max_Dehn.
- Hilberts_third_problem wikiPageWikiLink Method_of_exhaustion.
- Hilberts_third_problem wikiPageWikiLink Pi.
- Hilberts_third_problem wikiPageWikiLink Polygon.
- Hilberts_third_problem wikiPageWikiLink Polyhedron.
- Hilberts_third_problem wikiPageWikiLink Pyramid_(geometry).
- Hilberts_third_problem wikiPageWikiLink Quotient_space_(linear_algebra).
- Hilberts_third_problem wikiPageWikiLink Radian.
- Hilberts_third_problem wikiPageWikiLink Real_number.
- Hilberts_third_problem wikiPageWikiLink Tensor_product.
- Hilberts_third_problem wikiPageWikiLink Tetrahedron.
- Hilberts_third_problem wikiPageWikiLink Three-dimensional_space_(mathematics).
- Hilberts_third_problem wikiPageWikiLink Toshikazu_Sunada.
- Hilberts_third_problem wikiPageWikiLink Vector_space.
- Hilberts_third_problem wikiPageWikiLink Volume.
- Hilberts_third_problem wikiPageWikiLink Wallace–Bolyai–Gerwien_theorem.
- Hilberts_third_problem wikiPageWikiLinkText "3rd".
- Hilberts_third_problem wikiPageWikiLinkText "Dehn invariant".
- Hilberts_third_problem wikiPageWikiLinkText "Hilbert's third problem".
- Hilberts_third_problem wikiPageWikiLinkText "scissor congruent".
- Hilberts_third_problem wikiPageWikiLinkText "scissor-congruent".
- Hilberts_third_problem wikiPageWikiLinkText "scissors congruence".
- Hilberts_third_problem wikiPageWikiLinkText "scissors congruent".
- Hilberts_third_problem wikiPageWikiLinkText "scissors-congruent".
- Hilberts_third_problem date "November 2011".
- Hilberts_third_problem first "M.".
- Hilberts_third_problem id "DehnInvariant".
- Hilberts_third_problem id "Dehn_invariant".
- Hilberts_third_problem last "Hazewinkel".
- Hilberts_third_problem oldid "13481".
- Hilberts_third_problem reason "What makes this simpler? Without knowing, it's extra confusion.".
- Hilberts_third_problem title "Dehn Invariant".
- Hilberts_third_problem title "Dehn invariant".
- Hilberts_third_problem wikiPageUsesTemplate Template:Citation.
- Hilberts_third_problem wikiPageUsesTemplate Template:Cite_journal.
- Hilberts_third_problem wikiPageUsesTemplate Template:Cite_paper.
- Hilberts_third_problem wikiPageUsesTemplate Template:Elucidate.
- Hilberts_third_problem wikiPageUsesTemplate Template:Hilberts_problems.
- Hilberts_third_problem wikiPageUsesTemplate Template:MathWorld.
- Hilberts_third_problem wikiPageUsesTemplate Template:Pi.
- Hilberts_third_problem wikiPageUsesTemplate Template:Reflist.
- Hilberts_third_problem wikiPageUsesTemplate Template:SpringerEOM.
- Hilberts_third_problem subject Category:Euclidean_solid_geometry.
- Hilberts_third_problem subject Category:Geometric_dissection.
- Hilberts_third_problem subject Category:Hilberts_problems.
- Hilberts_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.".
- Hilberts_third_problem label "Hilbert's third problem".
- Hilberts_third_problem label "Hilberts third problem".
- Hilberts_third_problem sameAs Q2667025.
- Hilberts_third_problem sameAs Troisième_problème_de_Hilbert.
- Hilberts_third_problem sameAs הבעיה_השלישית_של_הילברט.
- Hilberts_third_problem sameAs Derde_probleem_van_Hilbert.
- Hilberts_third_problem sameAs Terceiro_problema_de_Hilbert.
- Hilberts_third_problem sameAs m.013xnj.
- Hilberts_third_problem sameAs Третья_проблема_Гильберта.
- Hilberts_third_problem sameAs Hilberts_tredje_problem.
- Hilberts_third_problem sameAs Q2667025.
- Hilberts_third_problem sameAs 希爾伯特第三問題.
- Hilberts_third_problem wasDerivedFrom Hilberts_third_problem?oldid=16040883.
- Hilberts_third_problem wasDerivedFrom Hilberts_third_problem?oldid=685900673.
- Hilberts_third_problem isPrimaryTopicOf Hilberts_third_problem.