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Hamiltonian Quasigeodesics yield Nets

2022/06/10 by Joseph O’Rourke, O'Rourke, Joseph
Engineering · Mathematics · #52B10 #52C99 #Advanced Numerical Analysis Techniques #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #G.2.2 #Geometric and Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2206.05353

openalex publication_date 2022/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note establishes that every polyhedron that has a Hamiltonian quasigeodesic can be edge-unfolded to a net, and shows that the class of such polyhedra is infinite.

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