3 papers
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…
math.AT2024
Equivariant Cosheaves and Finite Group Representations in Graphic Statics
Zoe Cooperband, Miguel Lopez, Bernd Schulze
This work extends the theory of reciprocal diagrams in graphic statics to frameworks that are invariant under finite group actions by utilizing the homology and representation theo…
math.AT2023
Towards Homological Methods in Graphic Statics
Zoe Cooperband, Robert Ghrist
Recent developments in applied algebraic topology can simplify and extend results in graphic statics - the analysis of equilibrium forces, dual diagrams, and more. The techniques i…