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- Simplex abstract "In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.Specifically, a k-simplex is a k-dimensional polytope which is the convex hull of its k + 1 vertices. More formally, suppose the k + 1 points are affinely independent, which means are linearly independent.Then, the simplex determined by them is the set of points .For example, a 2-simplex is a triangle, a 3-simplex is a tetrahedron, and a 4-simplex is a 5-cell. A single point may be considered a 0-simplex, and a line segment may be considered a 1-simplex. A simplex may be defined as the smallest convex set containing the given vertices.A regular simplex is a simplex that is also a regular polytope. A regular n-simplex may be constructed from a regular (n − 1)-simplex by connecting a new vertex to all original vertices by the common edge length.In topology and combinatorics, it is common to “glue together” simplices to form a simplicial complex. The associated combinatorial structure is called an abstract simplicial complex, in which context the word “simplex” simply means any finite set of vertices.".
- Simplex thumbnail Tetrahedron.png?width=300.
- Simplex wikiPageExternalLink rnbookindex.html.
- Simplex wikiPageID "39781".
- Simplex wikiPageRevisionID "606781082".
- Simplex anchor "Simplex".
- Simplex hasPhotoCollection Simplex.
- Simplex title "Simplex".
- Simplex urlname "Simplex".
- Simplex subject Category:Multi-dimensional_geometry.
- Simplex subject Category:Polytopes.
- Simplex subject Category:Topology.
- Simplex comment "In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.Specifically, a k-simplex is a k-dimensional polytope which is the convex hull of its k + 1 vertices.".
- Simplex label "Simplesso".
- Simplex label "Simplex (Mathematik)".
- Simplex label "Simplex (topologia)".
- Simplex label "Simplex (wiskunde)".
- Simplex label "Simplex".
- Simplex label "Simplexe".
- Simplex label "Sympleks (matematyka)".
- Simplex label "Símplex".
- Simplex label "Симплекс".
- Simplex label "单纯形".
- Simplex label "単体 (数学)".
- Simplex sameAs Simplex.
- Simplex sameAs Simplex_(Mathematik).
- Simplex sameAs Símplex.
- Simplex sameAs Simplex_(geometria).
- Simplex sameAs Simplexe.
- Simplex sameAs Simplesso.
- Simplex sameAs 単体_(数学).
- Simplex sameAs 단체_(수학).
- Simplex sameAs Simplex_(wiskunde).
- Simplex sameAs Sympleks_(matematyka).
- Simplex sameAs Simplex_(topologia).
- Simplex sameAs m.09xlv.
- Simplex sameAs Q331350.
- Simplex sameAs Q331350.
- Simplex wasDerivedFrom Simplex?oldid=606781082.
- Simplex depiction Tetrahedron.png.
- Simplex isPrimaryTopicOf Simplex.
