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math.MG2026
Qualitative convexity and universal cross-sections
David Victor Feldman
We study a family of questions in convexity in which \emph{size does not matter}: one records a convex cross-section only up to translation and scaling, so that the data attached t…
math.MG2026
Arranging convex bodies for maximum intersection volume: the sharp efficiency of centroid alignment
David Victor Feldman
Given finitely many compact convex bodies in , one seeks translates maximizing the volume of their common intersection. A lazy solver merely translates each body so as to pla…