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cs.CG2024
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…
cs.CG2024
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…