Vertex unfoldings of tight polyhedra
Combinatorics
2013-02-19 v3 Computational Geometry
Abstract
An unfolding of a polyhedron along its edges is called a vertex unfolding if adjacent faces are allowed to be connected at not only an edge but also a vertex. Demaine et al showed that every triangulated polyhedron has a vertex unfolding. We extend this result to a tight polyhedron, where a polyhedron is tight if all non-triangular faces are mutually non-adjacent parallelograms.
Keywords
Cite
@article{arxiv.1109.0001,
title = {Vertex unfoldings of tight polyhedra},
author = {Toshiki Endo and Yuki Suzuki},
journal= {arXiv preprint arXiv:1109.0001},
year = {2013}
}
Comments
8 pages, 5 figures