3 papers
math.AT2025
Obstructions to Reality: Torsors & Visual Paradox
Robert Ghrist, Zoe Cooperband
Visual paradoxes like the Penrose staircase present a fundamental tension: locally coherent geometric relationships that cannot be realized globally. Inspired by Penrose's observat…
math.AT2025
Unified Origami Kinematics via Cosheaf Homology
Zoe Cooperband, Robert Ghrist
We establish a novel local-global framework for analyzing rigid origami mechanics through cosheaf homology, proving the equivalence of truss and hinge constraint systems via an ind…
math.AT2024
Homology of Moment Frames
Zoe Cooperband, Allan McRobie, Cameron Millar +1
Using homological techniques we show that a pin-anchored frame that involves only moments and shears provides a conceptual bridge between the statics of moment frames and the kinem…