Inequalities for any point and two simplices

DOI10.1016/S0012-365X(98)00351-3zbMath0955.52005MaRDI QIDQ1301711

Xiangzheng Qian, Gang Song Leng

Publication date: 4 March 2001

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

inequalitieslargest parallelotope in a simplexsmallest simplex containing a parallelotope

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Inequalities for the medians and vertex distances of two n-simplices with applications ⋮ Inequalities for medians of two simplices ⋮ Inequalities for vertex distances of two simplices ⋮ Inequalities for zonotopes ⋮ Inequalities for two simplices

Cites Work

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• About the Neuberg-Pedoe and the Oppenheim inequalities
• The orthocentric simplex as an extreme simplex
• The law of sines for tetrahedra and \(n\)-simplices
• Some inequalities involving two simplexes
• The sine theorem and inequalities for volumes of simplices and determinants
• A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications
• Geometric Inequalities via the Polar Moment of Inertia
• The sine theorem for simplexes in $E_n$
• Thinking Geometrically
• Extremum properties of the regular polytopes

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