Parametric Vault

Based on TNA, I implemented together with Philippe Block a grasshopper definition for the generation of structural freeform vaults. The image shows a structural surface with an non-uniform force distribution. This work is part of a resarch project done at the ETH Zurich.


This model of a compression-only vault has been build using rapid prototyping. It stands just by gravity and friction.


Implementation-wise the matrix computation routines from rhino SDK have been used inside grasshopper vb.net nodes. Download the grasshopper definition here. A tutorial video shows the use of the definition.

Thrust Network Analysis

Thrust Network Analysis, a new method for generating compression-only vaulted surfaces and networks was developed by Philippe Block as part of his PhD. Using projective geometry, duality theory and linear optimization, it provides a graphical and intuitive method, adopting the same advantages of techniques such as graphic statics, but offering a viable extension to fully three-dimensional problems.


Form and force diagram, and the resulting compression only network.


Parametric explorations of the indeterminacy of compression-only networks by the modification of the force diagram.



TNA has been used for the structural design of the Mapungubwe National Park Interpretive Centre by Architect Peter Rich.