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- Ulams_packing_conjecture abstract "Ulam's packing conjecture, named for Stanislaw Ulam, is a conjecture about the highest possible packing density of identical convex solids in three-dimensional Euclidean space. The conjecture says that the optimal density for packing congruent spheres is smaller than that for any other convex body. That is, according to the conjecture, the ball is the convex solid which forces the largest fraction of space to remain empty in its optimal packing structure. This conjecture is therefore related to the Kepler conjecture about sphere packing. Since the solution to the Kepler conjecture establishes that identical balls must leave ≈25.95% of the space empty, Ulam's conjecture is equivalent to the statement that no other convex solid forces that much space to be left empty.".
- Ulams_packing_conjecture wikiPageID "43452583".
- Ulams_packing_conjecture wikiPageLength "3921".
- Ulams_packing_conjecture wikiPageOutDegree "17".
- Ulams_packing_conjecture wikiPageRevisionID "708074582".
- Ulams_packing_conjecture wikiPageWikiLink Category:Conjectures.
- Ulams_packing_conjecture wikiPageWikiLink Category:Packing_problems.
- Ulams_packing_conjecture wikiPageWikiLink Circle_packing.
- Ulams_packing_conjecture wikiPageWikiLink Close-packing_of_equal_spheres.
- Ulams_packing_conjecture wikiPageWikiLink Convex_set.
- Ulams_packing_conjecture wikiPageWikiLink Euclidean_space.
- Ulams_packing_conjecture wikiPageWikiLink Kepler_conjecture.
- Ulams_packing_conjecture wikiPageWikiLink List_of_Martin_Gardner_Mathematical_Games_columns.
- Ulams_packing_conjecture wikiPageWikiLink Martin_Gardner.
- Ulams_packing_conjecture wikiPageWikiLink Packing_density.
- Ulams_packing_conjecture wikiPageWikiLink Packing_problems.
- Ulams_packing_conjecture wikiPageWikiLink Point_reflection.
- Ulams_packing_conjecture wikiPageWikiLink Smoothed_octagon.
- Ulams_packing_conjecture wikiPageWikiLink Sphere_packing.
- Ulams_packing_conjecture wikiPageWikiLink Stanislaw_Ulam.
- Ulams_packing_conjecture wikiPageWikiLinkText "Ulam's conjecture".
- Ulams_packing_conjecture wikiPageWikiLinkText "Ulam's packing conjecture".
- Ulams_packing_conjecture wikiPageUsesTemplate Template:Reflist.
- Ulams_packing_conjecture subject Category:Conjectures.
- Ulams_packing_conjecture subject Category:Packing_problems.
- Ulams_packing_conjecture hypernym Conjecture.
- Ulams_packing_conjecture comment "Ulam's packing conjecture, named for Stanislaw Ulam, is a conjecture about the highest possible packing density of identical convex solids in three-dimensional Euclidean space. The conjecture says that the optimal density for packing congruent spheres is smaller than that for any other convex body. That is, according to the conjecture, the ball is the convex solid which forces the largest fraction of space to remain empty in its optimal packing structure.".
- Ulams_packing_conjecture label "Ulam's packing conjecture".
- Ulams_packing_conjecture sameAs Q18356153.
- Ulams_packing_conjecture sameAs m.011jl8r4.
- Ulams_packing_conjecture sameAs Q18356153.
- Ulams_packing_conjecture wasDerivedFrom Ulams_packing_conjecture?oldid=708074582.
- Ulams_packing_conjecture isPrimaryTopicOf Ulams_packing_conjecture.