6 citations · 28 across the 11 of their papers we have counts for
4 papers · 1 filter
Continuous Flattening of All Polyhedral Manifolds using Countably Infinite Creases
Zachary Abel, Erik D. Demaine, Martin L. Demaine +4
We prove that any finite polyhedral manifold in 3D can be continuously flattened into 2D while preserving intrinsic distances and avoiding crossings, answering a 19-year-old open p…
Source Unfoldings of Convex Polyhedra via Certain Closed Curves
Jin-ichi Itoh, Joseph O'Rourke, Costin Vilcu
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…
Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
We extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex po…
Star Unfolding Convex Polyhedra via Quasigeodesic Loops
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
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…