Name
Abstract | ||
|---|---|---|
We extend the notion of a source unfolding of a convex polyhedron P to be based on a closed polygonal curve Q in a particular class rather than based on a point. The class requires that Q "lives on a cone" to both sides; it includes simple, closed quasigeodesics. Cutting a particular subset of the cut locus of Q (in P) leads to a non-overlapping unfolding of the polyhedron. This gives a new general method to unfold the surface of any convex polyhedron to a simple, planar polygon. |
Year | Venue | Field |
|---|---|---|
2012 | arXiv: Computational Geometry | Goldberg polyhedron,Combinatorics,Polyhedron,Regular polygon,Cut locus,Convex polytope,Edge (geometry),Polygonal chain,Mathematics,Face (geometry) |
DocType | Volume | Citations |
Journal | abs/1205.0963 | 1 |
PageRank | References | Authors |
0.39 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jin-ichi Itoh | 1 | 47 | 10.17 |
| Joseph O'Rourke | 2 | 1636 | 439.71 |
| Costin Vîlcu | 3 | 20 | 4.68 |