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  • 14:20, 24 December 2023 SatoshiNakamoto talk contribs created page Konstantin Rybnikov (Created page with "Title: Konstantin Rybnikov Main Research Question: Can we develop a method to determine if a given piecewise-linear (PL) surface in three-dimensional space (or higher) is convex? Methodology: 1. Definition of Local Convexity: Rybnikov uses Bouligand's (1932) notion of local convexity. A surface is considered locally convex at a point if there's a neighborhood around that point that lies on the boundary of a convex n-dimensional body. 2. Introduction of Piecewise-Line...")