19 citations · 42 across the 8 of their papers we have counts for
3 papers · 1 filter
Cauchy's Arm Lemma on a Growing Sphere
Zachary Abel, David Charlton, Sebastien Collette +6
We propose a variant of Cauchy's Lemma, proving that when a convex chain on one sphere is redrawn (with the same lengths and angles) on a larger sphere, the distance between its en…
Staged Self-Assembly:Nanomanufacture of Arbitrary Shapes with O(1) Glues
Erik D. Demaine, Martin L. Demaine, Sandor P. Fekete +4
We introduce staged self-assembly of Wang tiles, where tiles can be added dynamically in sequence and where intermediate constructions can be stored for later mixing. This model an…
A Locked Orthogonal Tree
David Charlton, Erik D. Demaine, Martin L. Demaine +2
We give a counterexample to a conjecture of Poon [Poo06] that any orthogonal tree in two dimensions can always be flattened by a continuous motion that preserves edge lengths and a…