6 citations · 8 across the 4 of their papers we have counts for
4 papers · 1 filter
Universal Hinge Patterns for Folding Strips Efficiently into Any Grid Polyhedron
Nadia M. Benbernou, Erik D. Demaine, Martin L. Demaine +1
We present two universal hinge patterns that enable a strip of material to fold into any connected surface made up of unit squares on the 3D cube grid--for example, the surface of…
A Universal Crease Pattern for Folding Orthogonal Shapes
Nadia Benbernou, Erik D. Demaine, Martin L. Demaine +1
We present a universal crease pattern--known in geometry as the tetrakis tiling and in origami as box pleating--that can fold into any object made up of unit cubes joined face-to-f…
On the Maximum Span of Fixed-Angle Chains
Nadia Benbernou, Joseph O'Rourke
Soss proved that it is NP-hard to find the maximum 2D span of a fixed-angle polygonal chain: the largest distance achievable between the endpoints in a planar embedding. These fixe…
Unfolding Smooth Prismatoids
Nadia Benbernou, Patricia Cahn, Joseph O'Rourke
We define a notion for unfolding smooth, ruled surfaces, and prove that every smooth prismatoid (the convex hull of two smooth curves lying in parallel planes), has a nonoverlappin…