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cs.CG2008★ 3 cited
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…
cs.CG2007★ 8 cited
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…