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- Convex_polytope abstract "A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn. Some authors use the terms "convex polytope" and "convex polyhedron" interchangeably, while others prefer to draw a distinction between the notions of a polyhedron and a polytope.In addition, some texts require a polytope to be a bounded set, while others (including this article) allow polytopes to be unbounded. The terms "bounded/unbounded convex polytope" will be used below whenever the boundedness is critical to the discussed issue. Yet other texts treat a convex n-polytope as a surface or (n-1)-manifold.Convex polytopes play an important role both in various branches of mathematics and in applied areas, most notably in linear programming.A comprehensive and influential book in the subject, called Convex Polytopes, was published in 1967 by Branko Grünbaum. In 2003 the 2nd edition of the book was published, with significant additional material contributed by new writers.In Grünbaum's book, and in some other texts in discrete geometry, convex polytopes are often simply called "polytopes". Grünbaum points out that this is solely to avoid the endless repetition of the word "convex", and that the discussion should throughout be understood as applying only to the convex variety.A polytope is called full-dimensional if it is an n-dimensional object in Rn.".
- Convex_polytope thumbnail 3dpoly.svg?width=300.
- Convex_polytope wikiPageExternalLink polyfaq.html.
- Convex_polytope wikiPageID "1817885".
- Convex_polytope wikiPageLength "16859".
- Convex_polytope wikiPageOutDegree "84".
- Convex_polytope wikiPageRevisionID "681109831".
- Convex_polytope wikiPageWikiLink Affine_space.
- Convex_polytope wikiPageWikiLink Affine_subspace.
- Convex_polytope wikiPageWikiLink Affinely_independent.
- Convex_polytope wikiPageWikiLink Algebraic_decision_tree.
- Convex_polytope wikiPageWikiLink Angle.
- Convex_polytope wikiPageWikiLink Ball_(mathematics).
- Convex_polytope wikiPageWikiLink Big_O_notation.
- Convex_polytope wikiPageWikiLink Big_Oh_notation.
- Convex_polytope wikiPageWikiLink Bounded_set.
- Convex_polytope wikiPageWikiLink Branko_Grünbaum.
- Convex_polytope wikiPageWikiLink Category:Convex_geometry.
- Convex_polytope wikiPageWikiLink Category:Polytopes.
- Convex_polytope wikiPageWikiLink Closed_half-space.
- Convex_polytope wikiPageWikiLink Compact_space.
- Convex_polytope wikiPageWikiLink Cone.
- Convex_polytope wikiPageWikiLink Conical_combination.
- Convex_polytope wikiPageWikiLink Conical_sum.
- Convex_polytope wikiPageWikiLink Convex_combination.
- Convex_polytope wikiPageWikiLink Convex_hull.
- Convex_polytope wikiPageWikiLink Convex_hull_algorithms.
- Convex_polytope wikiPageWikiLink Convex_polygon.
- Convex_polytope wikiPageWikiLink Convex_set.
- Convex_polytope wikiPageWikiLink Convex_sum.
- Convex_polytope wikiPageWikiLink Cylinder_(geometry).
- Convex_polytope wikiPageWikiLink Decision_tree_model.
- Convex_polytope wikiPageWikiLink Direction_vector.
- Convex_polytope wikiPageWikiLink Discrete_geometry.
- Convex_polytope wikiPageWikiLink Edge_(geometry).
- Convex_polytope wikiPageWikiLink Elliptic_geometry.
- Convex_polytope wikiPageWikiLink Elliptic_space.
- Convex_polytope wikiPageWikiLink Euler_characteristic.
- Convex_polytope wikiPageWikiLink Eulerian_poset.
- Convex_polytope wikiPageWikiLink Extreme_point.
- Convex_polytope wikiPageWikiLink Extreme_points.
- Convex_polytope wikiPageWikiLink Face_(geometry).
- Convex_polytope wikiPageWikiLink Facet_(geometry).
- Convex_polytope wikiPageWikiLink Facet_(mathematics).
- Convex_polytope wikiPageWikiLink Fundamental_group.
- Convex_polytope wikiPageWikiLink Graph_isomorphism_problem.
- Convex_polytope wikiPageWikiLink Half-plane.
- Convex_polytope wikiPageWikiLink Half-space_(geometry).
- Convex_polytope wikiPageWikiLink Hassler_Whitney.
- Convex_polytope wikiPageWikiLink Homeomorphism.
- Convex_polytope wikiPageWikiLink Intersection_(set_theory).
- Convex_polytope wikiPageWikiLink Isomorphism.
- Convex_polytope wikiPageWikiLink Komei_Fukuda.
- Convex_polytope wikiPageWikiLink Lattice_(order).
- Convex_polytope wikiPageWikiLink Line_(geometry).
- Convex_polytope wikiPageWikiLink Linear_combination.
- Convex_polytope wikiPageWikiLink Linear_independence.
- Convex_polytope wikiPageWikiLink Linear_inequality.
- Convex_polytope wikiPageWikiLink Linear_programming.
- Convex_polytope wikiPageWikiLink Linearly_independent.
- Convex_polytope wikiPageWikiLink Lower_bound.
- Convex_polytope wikiPageWikiLink Manifold.
- Convex_polytope wikiPageWikiLink Manifold_(mathematics).
- Convex_polytope wikiPageWikiLink Mathematics.
- Convex_polytope wikiPageWikiLink Matrix_(mathematics).
- Convex_polytope wikiPageWikiLink Micha_Perles.
- Convex_polytope wikiPageWikiLink N-sphere.
- Convex_polytope wikiPageWikiLink Nef_polygon.
- Convex_polytope wikiPageWikiLink Nef_polyhedron.
- Convex_polytope wikiPageWikiLink Oriented_matroid.
- Convex_polytope wikiPageWikiLink Polygon.
- Convex_polytope wikiPageWikiLink Polygonal_chain.
- Convex_polytope wikiPageWikiLink Polyhedral_cone.
- Convex_polytope wikiPageWikiLink Polyhedral_cylinder.
- Convex_polytope wikiPageWikiLink Polyhedral_graph.
- Convex_polytope wikiPageWikiLink Polyhedron.
- Convex_polytope wikiPageWikiLink Polytope.
- Convex_polytope wikiPageWikiLink Prism_(geometry).
- Convex_polytope wikiPageWikiLink Ray_(geometry).
- Convex_polytope wikiPageWikiLink Ridge_(geometry).
- Convex_polytope wikiPageWikiLink Simple_polytope.
- Convex_polytope wikiPageWikiLink Simplex.
- Convex_polytope wikiPageWikiLink Simplicial_complex.
- Convex_polytope wikiPageWikiLink Spherical_polyhedron.
- Convex_polytope wikiPageWikiLink Spherical_tiling.
- Convex_polytope wikiPageWikiLink System_of_linear_inequalities.
- Convex_polytope wikiPageWikiLink Tessellation.
- Convex_polytope wikiPageWikiLink Time_complexity.
- Convex_polytope wikiPageWikiLink Unique_sink_orientation.
- Convex_polytope wikiPageWikiLink Upper_and_lower_bounds.
- Convex_polytope wikiPageWikiLink Vector_space.
- Convex_polytope wikiPageWikiLink Vector_spaces.
- Convex_polytope wikiPageWikiLink Vertex_(geometry).
- Convex_polytope wikiPageWikiLink Vertex_enumeration_problem.
- Convex_polytope wikiPageWikiLink File:3dpoly.svg.
- Convex_polytope wikiPageWikiLink File:Pyramid_face_lattice.svg.
- Convex_polytope wikiPageWikiLinkText "Convex Polytopes".
- Convex_polytope wikiPageWikiLinkText "Convex polytope".
- Convex_polytope wikiPageWikiLinkText "Convex polytope#The face lattice".
- Convex_polytope wikiPageWikiLinkText "Convex".