Curvature extrema and four-vertex theorems for polygons and polyhedra

DOI10.1023/B:JOTH.0000008769.58818.6dzbMath1077.51505arXiv0805.0629MaRDI QIDQ1781317

Oleg R. Musin

Publication date: 23 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.0629

zbMATH Keywords

polyhedracurvaturefour-vertex theoremwinding number of curves

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) (n)-vertex theorems via direct methods (51L15)

Related Items (5)

Iterating evolutes and involutes ⋮ The extremal spheres theorem ⋮ A discrete four vertex theorem for hyperbolic polygons ⋮ Quadrangles inscribed in a closed curve and the vertices of a curve ⋮ Polygon vertex extremality and decomposition of polygons

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