5 citations · 5 across the 4 of their papers we have counts for
3 papers · 1 filter
Continuous Flattening and Reversing of Convex Polyhedral Linkages
Erik D. Demaine, Martin L. Demaine, Markus Hecher +3
We prove two results about transforming any convex polyhedron, modeled as a linkage L of its edges. First, if we subdivide each edge of L in half, then L can be continuously flatte…
Folding One Polyhedral Metric Graph into Another
Lily Chung, Erik D. Demaine, Martin L. Demaine +4
We analyze the problem of folding one polyhedron, viewed as a metric graph of its edges, into the shape of another, similar to 1D origami. We find such foldings between all pairs o…
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…