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- Nef_polygon abstract "Nef polygons and Nef polyhedra are the sets of polygons (resp. polyhedra) which can be obtained from a finite set of halfplanes (halfspaces) by Boolean operations of set intersection and set complement. The objects are named after the Swiss mathematician Walter Nef (1919–), who introduced them in his 1978 book on polyhedra.Since other Boolean operations, such as union or difference, may be expressed via intersection and complement operations, the sets of Nef polygons (polyhedra) are closed with respect to these operations as well.In addition, the class of Nef polyhedra is closed with respect to the topological operations of taking closure, interior, exterior, and boundary. Boolean operations, such as difference or intersection, may produce non-regular sets. However the class of Nef polyhedra is also closed with respect to the operation of regularization.Convex polytopes are a special subclass of Nef polyhedra, being the set of polyhedra which are the intersections of a finite set of half-planes.".
- Nef_polygon wikiPageID "27699622".
- Nef_polygon wikiPageLength "3780".
- Nef_polygon wikiPageOutDegree "13".
- Nef_polygon wikiPageRevisionID "624838457".
- Nef_polygon wikiPageWikiLink Boolean_operations_on_polygons.
- Nef_polygon wikiPageWikiLink CGAL.
- Nef_polygon wikiPageWikiLink Category:Polygons.
- Nef_polygon wikiPageWikiLink Category:Polyhedra.
- Nef_polygon wikiPageWikiLink Convex_polytope.
- Nef_polygon wikiPageWikiLink Half-space_(geometry).
- Nef_polygon wikiPageWikiLink Polygon.
- Nef_polygon wikiPageWikiLink Polyhedron.
- Nef_polygon wikiPageWikiLink Solid_modeling.
- Nef_polygon wikiPageWikiLink Switzerland.
- Nef_polygon wikiPageWikiLink Walter_Nef.
- Nef_polygon wikiPageWikiLinkText "Nef polygon".
- Nef_polygon wikiPageUsesTemplate Template:Reflist.
- Nef_polygon subject Category:Polygons.
- Nef_polygon subject Category:Polyhedra.
- Nef_polygon hypernym Sets.
- Nef_polygon type Train.
- Nef_polygon type Polytope.
- Nef_polygon comment "Nef polygons and Nef polyhedra are the sets of polygons (resp. polyhedra) which can be obtained from a finite set of halfplanes (halfspaces) by Boolean operations of set intersection and set complement.".
- Nef_polygon label "Nef polygon".
- Nef_polygon sameAs Q6986999.
- Nef_polygon sameAs m.0c3xtc1.
- Nef_polygon sameAs Q6986999.
- Nef_polygon wasDerivedFrom Nef_polygon?oldid=624838457.
- Nef_polygon isPrimaryTopicOf Nef_polygon.