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Published July 2013 | public
Journal Article

On the equilibrium of simplicial masonry structures


We present a novel approach for the analysis and design of self-supporting simplicial masonry structures. A finite-dimensional formulation of their compressive stress field is derived, offering a new interpretation of thrust networks through numerical homogenization theory. We further leverage geometric properties of the resulting force diagram to identify a set of reduced coordinates characterizing the equilibrium of simplicial masonry. We finally derive computational form-finding tools that improve over previous work in efficiency, accuracy, and scalability.

Additional Information

© 2013 ACM. Thanks to Etienne Vouga for early discussions and data, David Bommes for his IPOPT wrapper, and Keenan Crane for making the igloo model. Partial funding was provided by NSF grant CCF-1011944, ERC Starting Grant "Robust Geometry Processing" (257474), and gifts from Pixar Animations Studios and Walt Disney Animation Studios.

Additional details

August 22, 2023
October 24, 2023