A Universal Crease Pattern for Folding Orthogonal Shapes - Computer Science > Computational GeometryReport as inadecuate




A Universal Crease Pattern for Folding Orthogonal Shapes - Computer Science > Computational Geometry - Download this document for free, or read online. Document in PDF available to download.

Abstract: We present a universal crease pattern-known in geometry as the tetrakistiling and in origami as box pleating-that can fold into any object made up ofunit cubes joined face-to-face polycubes. More precisely, there is oneuniversal finite crease pattern for each number n of unit cubes that need to befolded. This result contrasts previous universality results for origami, whichrequire a different crease pattern for each target object, and confirmsintuition in the origami community that box pleating is a powerful designtechnique.



Author: Nadia Benbernou, Erik D. Demaine, Martin L. Demaine, Aviv Ovadya

Source: https://arxiv.org/



DOWNLOAD PDF




Related documents