convex polytope
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Convex polytope — A 3 dimensional convex polytope 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.[1] Some authors use the terms convex polytope and convex… … Wikipedia
Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… … Wikipedia
Convex hull — The convex hull of the red set is the blue convex set. See also: Convex set and Convex combination In mathematics, the convex hull or convex envelope for a set of points X in a real vector space V is the min … Wikipedia
Convex hull algorithms — Algorithms that construct convex hulls of various objects have a broad range of applications in mathematics and computer science, see Convex hull applications . In computational geometry, numerous algorithms are proposed for computing the convex… … Wikipedia
Convex — A convex set. The word convex means curving out or bulging outward, as opposed to concave. Convex or convexity may refer to: Mathematics: Convex set, a set of points containing all line segments between each pair of its points Convex function, a… … Wikipedia
Convex regular 4-polytope — The tesseract is one of 6 convex regular 4 polytopes In mathematics, a convex regular 4 polytope is a 4 dimensional polytope that is both regular and convex. These are the four dimensional analogs of the Platonic solids (in three dimensions) and… … Wikipedia
Convex lattice polytope — A convex lattice polytope (also called Z polyhedron or Z polytope) is a geometric object playing an important role in discrete geometry and combinatorial commutative algebra. It is a polytope in a Euclidean space Rn which is a convex hull of… … Wikipedia
Polytope dual — Le concept de polytope dual est étroitement lié à la notion de convexité. De plus, il permet d associer des entités d un polyèdre à celle de son dual de manière biunivoque. Soit x un point de , on définit le demi espace par ou <> désigne le … Wikipédia en Français
Convex body — In mathematics, a convex body in n dimensional Euclidean space Rn is a compact convex set with non empty interior. A convex body K is called symmetric if it is centrally symmetric with respect to the origin, i.e. a point x lies in K if and only… … Wikipedia
Cross-polytope — In geometry, a cross polytope,[1] orthoplex,[2] hyperoctahedron, or cocube is a regular, convex polytope that exists in any number of dimensions. The vertices of a cross polytope are all the permutations of (±1, 0, 0, …, 0). The cross polytope is … Wikipedia
Neighborly polytope — In geometry and polyhedral combinatorics, a k neighborly polytope is a convex polytope in which every set of k or fewer vertices forms a face. For instance, a 2 neighborly polytope is a polytope in which every pair of vertices is connected by an… … Wikipedia
