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- Barycentric_subdivision abstract "In geometry, the barycentric subdivision is a standard way of dividing an arbitrary convex polygon into triangles, a convex polyhedron into tetrahedra, or, in general, a convex polytope into simplices with the same dimension, by connecting the barycenters of their faces in a specific way.The name is also used in topology for a similar operation on cell complexes. The result is topologically equivalent to that of the geometric operation, but the parts have arbitrary shape and size. This is an example of a finite subdivision rule.Both operations have a number of applications in mathematics and in geometric modeling, especially whenever some function or shape needs to be approximated piecewise, e.g. by a spline.".
- Barycentric_subdivision thumbnail Barycentric_2.svg?width=300.
- Barycentric_subdivision wikiPageID "583651".
- Barycentric_subdivision wikiPageRevisionID "573637681".
- Barycentric_subdivision hasPhotoCollection Barycentric_subdivision.
- Barycentric_subdivision subject Category:Algebraic_topology.
- Barycentric_subdivision subject Category:Geometric_topology.
- Barycentric_subdivision subject Category:Triangulation_(geometry).
- Barycentric_subdivision comment "In geometry, the barycentric subdivision is a standard way of dividing an arbitrary convex polygon into triangles, a convex polyhedron into tetrahedra, or, in general, a convex polytope into simplices with the same dimension, by connecting the barycenters of their faces in a specific way.The name is also used in topology for a similar operation on cell complexes. The result is topologically equivalent to that of the geometric operation, but the parts have arbitrary shape and size.".
- Barycentric_subdivision label "Barycentric subdivision".
- Barycentric_subdivision label "Барицентрическое подразделение".
- Barycentric_subdivision sameAs m.02sfbz.
- Barycentric_subdivision sameAs Q4078260.
- Barycentric_subdivision sameAs Q4078260.
- Barycentric_subdivision wasDerivedFrom Barycentric_subdivision?oldid=573637681.
- Barycentric_subdivision depiction Barycentric_2.svg.
- Barycentric_subdivision isPrimaryTopicOf Barycentric_subdivision.
