Finding closed quasigeodesics on convex polyhedra

A closed quasigeodesic is a closed loop on the surface of a polyhedron with at most 180◦ of surface on both sides at all points; such loops can be locally unfolded straight. In 1949, Pogorelov proved that every convex polyhedron has at least three (non-self-intersecting) closed quasigeodesics, but t...

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Detalhes bibliográficos
Principais autores: Demaine, Erik D, Hesterberg, Adam Classen, Ku, Jason S
Outros Autores: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Formato: Artigo
Idioma:English
Publicado em: Schloss Dagstuhl, Leibniz Center for Informatics 2021
Acesso em linha:https://hdl.handle.net/1721.1/129938