@inproceedings{lubiw2006local, author = {Lubiw, Anna and Lucier, Brendan}, title = {Local Overlaps in Unfoldings of Polyhedra}, booktitle = {Fall Workshop on Combinatorial Geometry (FWCG) 2006}, year = {2006}, month = {January}, abstract = {We define a notion of local overlaps in polyhedron unfoldings. We use this concept to construct new examples of polyhedra that cannot be edge unfolded without overlap. In particular, we present a polyhedron with 16 triangular faces for which every unfolding contains a vertex with total face angle greater than 2. We also construct an ununfoldable polyhedron with 9 convex faces, improving upon the previously best known bound of 13.}, url = {http://approjects.co.za/?big=en-us/research/publication/local-overlaps-unfoldings-polyhedra/}, edition = {Fall Workshop on Combinatorial Geometry (FWCG) 2006}, }