2025/12/21 by Georg Nawratil, Nawratil, Georg
Engineering · #Advanced Materials and Mechanics #Computational Geometry (cs.CG) #FOS: Computer and information sciences #Modular Robots and Swarm Intelligence #Robotics (cs.RO) #Structural Analysis and Optimization
paper · doi:10.48550/arxiv.2512.18869
openalex publication_date 2025/12/21 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28
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.