Star Unfolding Convex Polyhedra via Quasigeodesic Loops

@article{Itoh2010StarUC,
  title={Star Unfolding Convex Polyhedra via Quasigeodesic Loops},
  author={J. Itoh and J. O'Rourke and C. V{\^i}lcu},
  journal={Discrete & Computational Geometry},
  year={2010},
  volume={44},
  pages={35-54}
}
  • J. Itoh, J. O'Rourke, C. Vîlcu
  • Published 2010
  • Mathematics, Computer Science
  • Discrete & Computational Geometry
  • We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron ℘ to a simple (nonoverlapping) planar polygon: cut along one shortest path from each vertex of ℘ to Q, and cut all but one segment of Q. 
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