Planar Quadrilateral meshes (and particularly the special cases of Circular and Conical meshes) have numerous advantages for architecture and fabrication (see the work of Bobenko or Pottmann for details).
I am developing ways of optimizing meshes within Kangaroo in a way that allows the user to interact during the process. A balance can be set between factors such as how tightly the mesh is pulled onto the NURBS surface, planarity, panel size etc.
Because they are integrated directly into the physics engine it is possible to combine these geometric constraints with any of the other force-based form finding methods I have shown earlier.
It's time to move beyond post-rationalization of 'free-form' surfaces. 'Construction-aware-design' here we come!
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