Coincidences of simplex centers and related facial structures
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Publication:2568862
zbMath1093.51014arXivmath/0411093MaRDI QIDQ2568862
Mowaffaq Hajja, Horst Martini, Allan L. Edmonds
Publication date: 20 October 2005
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411093
Gram matrixFermat-Torricelli pointbarycentric coordinatescircumcenterincentercentroidorthocenterCholesky decompositionMonge pointcevian(regular) simplexsimplex center
Polyhedra and polytopes; regular figures, division of spaces (51M20) Euclidean geometries (general) and generalizations (51M05)
Related Items (13)
Outer normal transforms of convex polytopes ⋮ Orthocentric simplices as the true generalizations of triangles ⋮ The open mouth theorem in higher dimensions ⋮ Pre-kites: simplices having a regular facet ⋮ On highly eccentric cones ⋮ On the kernel center of a convex body ⋮ On the circumradius of a special class of \(n\)-simplices ⋮ The pons asinorum and related theorems for tetrahedra ⋮ Geometry of simplices in Minkowski spaces ⋮ A characterization for the validity of the Hermite-Hadamard inequality on a simplex ⋮ Duality of isosceles tetrahedra ⋮ The median triangle theorem as an entrance to certain issues in higher-dimensional geometry ⋮ Orthocentric simplices and their centers
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