3 search results - page 1 / 1 » Local Overlaps In Special Unfoldings Of Convex Polyhedra |
CCCG
2006
13 years 8 months ago
2006
We define a notion of local overlaps in polyhedron unfoldings. We use this concept to construct convex polyhedra for which certain classes of edge unfoldings contain overlaps, the...
CCCG
2007
13 years 8 months ago
2007
We prove that an infinite class of convex polyhedra, produced by restricted vertex truncations, always unfold without overlap. The class includes the “domes,” providing a sim...
CCCG
2008
13 years 8 months ago
2008
We construct a sequence of convex polyhedra on n vertices with the property that, as n, the fraction of its edge unfoldings that avoid overlap approaches 0, and so the frac