I’ve attended the Smart Geometry 2008 Workshop and Conference, which was held on February 27th- March 5th, in Munich.
The workshop structure was comprised of 5 different categories, namely Environment, Fabrication, Form, Computation, and Architecture. I was part of the Computation group, looking into ways of scripting and manipulating mathematically defined forms in GC. My goal was to develop YME’s proposal for the AADRL.TEN Pavilion, basically defining the underlying geometry, the mobius-klein nonmanifold, in a parametric manner inside GC and then populating this geometry with components of varying depths and openings. In GC script, it is possible to describe any geometry with an explicit formula. Thus, by defining the x, y, z parameters of the surface and inserting variables for its sub-domains in GC script, it was possible to visualize any part of the surface by changing the sub-domain variables. Afterwards, four types of simple components with different depths and openings were assigned to the UV coordinates to populate the 4 sub-domains of the mobius-klein nonmanifold.
Mobius-Klein nonmanifold scripted in GC.

Sub-domain of the surface visualized by changing variables.

Sub-domain populated with one type of component.

My next intention for the future is to map coordinates of differing densities on the surface, since UV coordinates are sometimes not enough to emphasize the topological transformations in surfaces. Mapping denser coordinates on areas of the surface with more curvature and less coordinates in areas with less curvature would both enhance the visual effect and also be more beneficial for manufacturing purposes.
Posted: March 11th, 2008 under News, Parametric Design.
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