Barycenters of points in polytope skeleta

DOI10.1090/conm/764/15330zbMath1468.51005arXiv1809.01613OpenAlexW3142370552MaRDI QIDQ4998742

Michael Gene Dobbins, Florian Frick

Publication date: 9 July 2021

Published in: Polytopes and Discrete Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01613

zbMATH Keywords

\(k\)-faces\(nk\)-polytope

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Elementary problems in Euclidean geometries (51M04)

Cites Work

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• Convex hulls of orbits and orientations of a moving protein domain
• Barycenters of polytope skeleta and counterexamples to the topological Tverberg conjecture, via constraints
• On Kemnitz' conjecture concerning lattice-points in the plane
• A point in an \(nd\)-polytope is the barycenter of \(n\) points in its \(d\)-faces
• Weight Balancing on Boundaries and Skeletons