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nonconvex set

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  • Nonconvex uniform polyhedron — In geometry, a nonconvex uniform polyhedron, or uniform star polyhedron, is a self intersecting uniform polyhedron. Each can contain either star polygon faces, star polygon vertex figures or both.The complete set of 57 nonprismatic uniform star… …   Wikipedia

  • Special ordered set — In discrete optimization, a special ordered set is an ordered set of variables. There are two sorts of Special Ordered Sets.Special Ordered Sets of type 1 (SOS1 or S1) are a set of variables, at most one of which can take a strictly positive… …   Wikipedia

  • Star polygon — Set of regular star polygons {5/2} {7/2} …   Wikipedia

  • Uniform polytope — A uniform polytope is a vertex transitive polytope made from uniform polytope facets. A uniform polytope must also have only regular polygon faces.Uniformity is a generalization of the older category semiregular, but also includes the regular… …   Wikipedia

  • Uniform polyhedron — A uniform polyhedron is a polyhedron which has regular polygons as faces and is transitive on its vertices (i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the polyhedron has a high… …   Wikipedia

  • Uniform star polyhedron — A display of uniform polyhedra at the Science Museum in London …   Wikipedia

  • Uniform polychoron — In geometry, a uniform polychoron (plural: uniform polychora) is a polychoron or 4 polytope which is vertex transitive and whose cells are uniform polyhedra.This article contains the complete list of 64 non prismatic convex uniform polychora, and …   Wikipedia

  • Schläfli-Hess polychoron — In four dimensional geometry, Schläfli Hess polychora are the complete set of 10 regular self intersecting star polychora (Four dimensional polytopes). They are named in honor of their discoverers: Ludwig Schläfli and Edmund Hess. They are all… …   Wikipedia

  • Non-convexity (economics) — In economics, non convexity refers to violations of the convexity assumptions of elementary economics. Basic economics textbooks concentrate on consumers with convex preferences (that do not prefer extremes to in between values) and convex budget …   Wikipedia

  • Omnitruncated polyhedron — In geometry, an omnitruncated polyhedron is a truncated quasiregular polyhedron. When they are alternated, they produce the snub polyhedra. All omnitruncated polyhedra are zonohedra. They have Wythoff symbol p q r | and vertex figures as 2p.2q.2r …   Wikipedia

  • Convexity in economics — Economics …   Wikipedia

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