Advances in Architectural Geometry 2012 by Robert Aish, Aparajit Pratap (auth.), Lars Hesselgren,

By Robert Aish, Aparajit Pratap (auth.), Lars Hesselgren, Shrikant Sharma, Johannes Wallner, Niccolo Baldassini, Philippe Bompas, Jacques Raynaud (eds.)

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Eventually, this method proved to be more economical by offsetting fabrication costs. This was because with bigger steel plates there would be fewer individual tower segments and less welding required between them. Since the initial 3D model was based on the rationalisation of double curved surface geometry, the team was able to deliver the new surfaces for the entire tower directly to the fabricator in a few hours. Forming required the form to be divided in only eight larger sections of up to 12m tall.

A better way to connect the topology of the spatial model to the analytical and material models is through a rule based script. This can provide a robust connection which can appropriately respond to the appearance, disappearance and reappearance of topology and its related geometry. 35 R. Aish and A. Pratap Conclusions This paper presents a novel application of non-manifold topology together with parametric and associative scripting to model the spatial organization of a building and to use this information to create different analytical and material models of a building.

In order to achieve a faster relaxation, we do not model the physical spring behavior, but instead only minimize the energy sum of the springs. This minimization is done by a naIve gradient flow [Biirtschi et al. 2010]. In the given case, spring energies have to be found that correspond with the specifications and con- 39 R. Biirtschi and T. Bonwetsch straints listed above. In search for a good correlation of low energy configurations and the number of constraint violations, we obtained spring energies, which are step-wise defined continuous functions.

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