Construction and deformation of P-hedra using control polylines
Robotics
2025-12-23 v1 Computational Geometry
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.
Cite
@article{arxiv.2512.18869,
title = {Construction and deformation of P-hedra using control polylines},
author = {Georg Nawratil},
journal= {arXiv preprint arXiv:2512.18869},
year = {2025}
}
Comments
8 pages, 4 figures