English

Continuous Blooming of Convex Polyhedra

Computational Geometry 2009-06-16 v1 Data Structures and Algorithms

Abstract

We construct the first two continuous bloomings of all convex polyhedra. First, the source unfolding can be continuously bloomed. Second, any unfolding of a convex polyhedron can be refined (further cut, by a linear number of cuts) to have a continuous blooming.

Keywords

Cite

@article{arxiv.0906.2461,
  title  = {Continuous Blooming of Convex Polyhedra},
  author = {Erik D. Demaine and Martin L. Demaine and Vi Hart and John Iacono and Stefan Langerman and Joseph O'Rourke},
  journal= {arXiv preprint arXiv:0906.2461},
  year   = {2009}
}

Comments

13 pages, 6 figures

R2 v1 2026-06-21T13:13:04.603Z