New extensions of Napoleon's theorem to higher dimensions
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Publication:2473594
zbMath1142.51015MaRDI QIDQ2473594
Margarita Spirova, Horst Martini, Mowaffaq Hajja
Publication date: 28 February 2008
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/129169
Fermat-Torricelli pointcircumcenterincentercentroidTorricelli configurationNapoleon's theoremequiareal simplexisogonal pointNapoleon simplex
(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Elementary problems in Euclidean geometries (51M04) Euclidean analytic geometry (51N20)
Related Items (9)
On the optimality of Napoleon triangles ⋮ The Fermat-Torricelli problem. I: A discrete gradient-method approach ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ Orthocentric simplices as the true generalizations of triangles ⋮ Geometry of the weighted Fermat-Torricelli problem ⋮ The open mouth theorem in higher dimensions ⋮ Pre-kites: simplices having a regular facet ⋮ Circle geometry in affine Cayley-Klein planes ⋮ The median triangle theorem as an entrance to certain issues in higher-dimensional geometry
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