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- Dodecahedral_conjecture abstract "The dodecahedral conjecture in geometry is intimately related to sphere packing. László Fejes Tóth, a 20th-century Hungarian geometer, considered the Voronoi decomposition of any given packing of unit spheres. He conjectured in 1943 that the minimal volume of any cell in the resulting Voronoi decomposition was at least as large as the volume of a regular dodecahedron circumscribed to a unit sphere.Thomas Callister Hales and Sean McLaughlin proved the conjecture in 1998, following the same strategy that led Hales to his proof of the Kepler conjecture. The proofs rely on extensive computations. McLaughlin was awarded the 1999 Morgan Prize for his contribution to this proof.".
- Dodecahedral_conjecture wikiPageID "7033091".
- Dodecahedral_conjecture wikiPageLength "1415".
- Dodecahedral_conjecture wikiPageOutDegree "13".
- Dodecahedral_conjecture wikiPageRevisionID "642937868".
- Dodecahedral_conjecture wikiPageWikiLink Category:Conjectures.
- Dodecahedral_conjecture wikiPageWikiLink Category:Conjectures_which_were_proven.
- Dodecahedral_conjecture wikiPageWikiLink Category:Theorems_in_geometry.
- Dodecahedral_conjecture wikiPageWikiLink Geometry.
- Dodecahedral_conjecture wikiPageWikiLink Kepler_conjecture.
- Dodecahedral_conjecture wikiPageWikiLink László_Fejes_Tóth.
- Dodecahedral_conjecture wikiPageWikiLink Morgan_Prize.
- Dodecahedral_conjecture wikiPageWikiLink Regular_dodecahedron.
- Dodecahedral_conjecture wikiPageWikiLink Sean_McLaughlin_(mathematician).
- Dodecahedral_conjecture wikiPageWikiLink Sphere_packing.
- Dodecahedral_conjecture wikiPageWikiLink Thomas_Callister_Hales.
- Dodecahedral_conjecture wikiPageWikiLink Unit_sphere.
- Dodecahedral_conjecture wikiPageWikiLink Voronoi_decomposition.
- Dodecahedral_conjecture wikiPageWikiLink Voronoi_diagram.
- Dodecahedral_conjecture wikiPageWikiLinkText "Dodecahedral Conjecture".
- Dodecahedral_conjecture wikiPageWikiLinkText "Dodecahedral conjecture".
- Dodecahedral_conjecture wikiPageWikiLinkText "dodecahedral conjecture".
- Dodecahedral_conjecture hasPhotoCollection Dodecahedral_conjecture.
- Dodecahedral_conjecture wikiPageUsesTemplate Template:Geometry-stub.
- Dodecahedral_conjecture wikiPageUsesTemplate Template:Reflist.
- Dodecahedral_conjecture subject Category:Conjectures.
- Dodecahedral_conjecture subject Category:Conjectures_which_were_proven.
- Dodecahedral_conjecture subject Category:Theorems_in_geometry.
- Dodecahedral_conjecture type Article.
- Dodecahedral_conjecture type Article.
- Dodecahedral_conjecture type Conjecture.
- Dodecahedral_conjecture type Statement.
- Dodecahedral_conjecture type Theorem.
- Dodecahedral_conjecture type Statement.
- Dodecahedral_conjecture comment "The dodecahedral conjecture in geometry is intimately related to sphere packing. László Fejes Tóth, a 20th-century Hungarian geometer, considered the Voronoi decomposition of any given packing of unit spheres.".
- Dodecahedral_conjecture label "Dodecahedral conjecture".
- Dodecahedral_conjecture sameAs 정십이면체_추측.
- Dodecahedral_conjecture sameAs m.0h172f.
- Dodecahedral_conjecture sameAs Q5287805.
- Dodecahedral_conjecture sameAs Q5287805.
- Dodecahedral_conjecture wasDerivedFrom Dodecahedral_conjecture?oldid=642937868.
- Dodecahedral_conjecture isPrimaryTopicOf Dodecahedral_conjecture.