8 citations · 12 across the 3 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…
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…
Hinged Dissections Exist
Timothy G. Abbott, Zachary Abel, David Charlton +3
We prove that any finite collection of polygons of equal area has a common hinged dissection. That is, for any such collection of polygons there exists a chain of polygons hinged a…