Pseudo-edge unfoldings of convex polyhedra

DOI10.1007/s00454-019-00082-1zbMath1450.52008arXiv1709.04944OpenAlexW2962736280WikidataQ128101448 ScholiaQ128101448MaRDI QIDQ2207593

Nicholas Barvinok, Mohammad Ghomi

Publication date: 23 October 2020

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04944

zbMATH Keywords

isometric embeddingprescribed curvatureedge unfoldingalmost flat convex capDürer conjecturepseudo-edge graphweighted spanning forest

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Embeddings and immersions in topological manifolds (57N35) Planar graphs; geometric and topological aspects of graph theory (05C10) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (2)

Edge-unfolding nested prismatoids ⋮ Edge-Unfolding Nearly Flat Convex Caps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Affine unfoldings of convex polyhedra
• Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes
• Triangulations. Structures for algorithms and applications
• Unsolved problems in geometry
• Ununfoldable polyhedra with convex faces
• Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry
• A Riemannian four vertex theorem for surfaces with boundary
• Convex polytopes with convex nets
• Lectures on Polytopes
• D "urer's Unfolding Problem for Convex Polyhedra

This page was built for publication: Pseudo-edge unfoldings of convex polyhedra