{"ID":2826614,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.18869","arxiv_id":"2512.18869","title":"Construction and deformation of P-hedra using control polylines","abstract":"In the 19th International Symposium on Advances in Robot Kinematics the author introduced a novel class of continuous flexible discrete surfaces and mentioned that these so-called P-hedra (or P-nets) allow direct access to their spatial shapes by three control polylines. In this follow-up paper we study this intuitive method, which makes these flexible planar quad surfaces suitable for transformable design tasks by means of interactive tools. The construction of P-hedra from the control polylines can also be used for an efficient algorithmic computation of their isometric deformations. In addition we discuss flexion limits, bifurcation configurations, developable/flat-foldable pattern and tubular P-hedra.","short_abstract":"In the 19th International Symposium on Advances in Robot Kinematics the author introduced a novel class of continuous flexible discrete surfaces and mentioned that these so-called P-hedra (or P-nets) allow direct access to their spatial shapes by three control polylines. In this follow-up paper we study this intuitive...","url_abs":"https://arxiv.org/abs/2512.18869","url_pdf":"https://arxiv.org/pdf/2512.18869v1","authors":"[\"Georg Nawratil\"]","published":"2025-12-21T20:08:42Z","proceeding":"cs.RO","tasks":"[\"cs.RO\",\"cs.CG\"]","methods":"[]","has_code":false}