Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Dissection_problem> ?p ?o }
Showing triples 1 to 64 of
64
with 100 triples per page.
- Dissection_problem abstract "In geometry, a dissection problem is the problem of partitioning a geometric figure (such as a polytope or ball) into smaller pieces that may be rearranged into a new figure of equal content. In this context, the partitioning is called simply a dissection (of one polytope into another). It is usually required that the dissection use only a finite number of pieces. The Bolyai-Gerwien theorem states that any polygon may be dissected into any other polygon of the same area. It is not true, however, that any polyhedron has a dissection into any other polyhedron of the same volume. This process is possible, however, for any two honeycombs (such as cube) in three dimension and any two zonohedra of equal volume (in any dimension).A dissection into triangles of equal area is called an equidissection. Most polygons cannot be equidissected, and those that can often have restrictions on the possible numbers of triangles. For example, Monsky's theorem states that there is no odd equidissection of a square.".
- Dissection_problem wikiPageExternalLink distile.
- Dissection_problem wikiPageID "2915839".
- Dissection_problem wikiPageLength "1816".
- Dissection_problem wikiPageOutDegree "24".
- Dissection_problem wikiPageRevisionID "587020225".
- Dissection_problem wikiPageWikiLink Ball_(mathematics).
- Dissection_problem wikiPageWikiLink Bolyai-Gerwien_theorem.
- Dissection_problem wikiPageWikiLink Category:Discrete_geometry.
- Dissection_problem wikiPageWikiLink Category:Euclidean_geometry.
- Dissection_problem wikiPageWikiLink Category:Geometric_dissection.
- Dissection_problem wikiPageWikiLink Category:Mathematical_problems.
- Dissection_problem wikiPageWikiLink Category:Polygons.
- Dissection_problem wikiPageWikiLink Category:Polyhedra.
- Dissection_problem wikiPageWikiLink Category:Polytopes.
- Dissection_problem wikiPageWikiLink Cube.
- Dissection_problem wikiPageWikiLink David_Eppstein.
- Dissection_problem wikiPageWikiLink Dissection_puzzle.
- Dissection_problem wikiPageWikiLink Equidissection.
- Dissection_problem wikiPageWikiLink Hilberts_third_problem.
- Dissection_problem wikiPageWikiLink Hinged_dissection.
- Dissection_problem wikiPageWikiLink Honeycomb_(geometry).
- Dissection_problem wikiPageWikiLink Monskys_theorem.
- Dissection_problem wikiPageWikiLink Polygon.
- Dissection_problem wikiPageWikiLink Polyhedron.
- Dissection_problem wikiPageWikiLink Polytope.
- Dissection_problem wikiPageWikiLink Shape.
- Dissection_problem wikiPageWikiLink Square.
- Dissection_problem wikiPageWikiLink Triangle.
- Dissection_problem wikiPageWikiLink Wallace–Bolyai–Gerwien_theorem.
- Dissection_problem wikiPageWikiLink Zonohedra.
- Dissection_problem wikiPageWikiLink Zonohedron.
- Dissection_problem wikiPageWikiLinkText "Dissection problem".
- Dissection_problem wikiPageWikiLinkText "dissected".
- Dissection_problem wikiPageWikiLinkText "dissecting".
- Dissection_problem wikiPageWikiLinkText "dissection problem".
- Dissection_problem wikiPageWikiLinkText "dissection".
- Dissection_problem wikiPageWikiLinkText "dissections".
- Dissection_problem wikiPageWikiLinkText "geometric dissection".
- Dissection_problem wikiPageWikiLinkText "geometric methods of dissection".
- Dissection_problem hasPhotoCollection Dissection_problem.
- Dissection_problem wikiPageUsesTemplate Template:Geometry-stub.
- Dissection_problem wikiPageUsesTemplate Template:Reflist.
- Dissection_problem subject Category:Discrete_geometry.
- Dissection_problem subject Category:Euclidean_geometry.
- Dissection_problem subject Category:Geometric_dissection.
- Dissection_problem subject Category:Mathematical_problems.
- Dissection_problem subject Category:Polygons.
- Dissection_problem subject Category:Polyhedra.
- Dissection_problem subject Category:Polytopes.
- Dissection_problem hypernym Problem.
- Dissection_problem type Disease.
- Dissection_problem type Polytope.
- Dissection_problem type Space.
- Dissection_problem comment "In geometry, a dissection problem is the problem of partitioning a geometric figure (such as a polytope or ball) into smaller pieces that may be rearranged into a new figure of equal content. In this context, the partitioning is called simply a dissection (of one polytope into another). It is usually required that the dissection use only a finite number of pieces. The Bolyai-Gerwien theorem states that any polygon may be dissected into any other polygon of the same area.".
- Dissection_problem label "Dissection problem".
- Dissection_problem sameAs تشريح_شكل.
- Dissection_problem sameAs Problème_de_dissection.
- Dissection_problem sameAs Dissezione_(matematica).
- Dissection_problem sameAs m.08cbff.
- Dissection_problem sameAs Q765035.
- Dissection_problem sameAs Q765035.
- Dissection_problem wasDerivedFrom Dissection_problem?oldid=587020225.
- Dissection_problem isPrimaryTopicOf Dissection_problem.