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math.AT2023
A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics
Zoe Cooperband, Robert Ghrist, Jakob Hansen
This paper introduces cellular sheaf theory to graphical methods and reciprocal constructions in structural engineering. The elementary mechanics and statics of trusses are derived…
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…