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• 14:20, 24 December 2023 SatoshiNakamoto talk contribs created page Can We Determine If a Piecewise-Linear Surface Is Convex? (Created page with "Title: Can We Determine If a Piecewise-Linear Surface Is Convex? Research Question: Can we develop an efficient method to determine if a given piecewise-linear (PL) surface in three-dimensional space (or higher) is convex? Methodology: 1. Define Local Convexity: We use Van Heijenoort's (1932) definition of local convexity. A surface is locally convex at a point if it has a neighborhood that lies on the boundary of a convex body. 2. Piecewise-Linear Surfaces: We consi...")