One of the basic rules used in optimizing structural elements, is to eliminate bending moment. Bending moment produces an uneven distribution of stresses in cross sections which broadly speaking, must be designed according to the maximum design stress. This results in a lot of material ending up underutilized.
A very comprehensive book on form finding and optimization in architecture, it collects several works by emerging researchers in the field along with others. Sigrid Adriaenssens, Philippe Block and Chris Williams investigate well-known architectures such as the roofing for the inner courtyard of the Maritime Dutch Museum or the Queen Elizabeth II courtyard in the British Museum.
I’ve been playing with patterns on surfaces and this example shows best the possible situations. I’m creating holes in a generic surface, aligned to a certain direction which I change during the video. The holes also change diameter according to the local gaussian curvature. Of course the holes are not circular, but circles mapped to the local uv-mapping, otherwise what fun is it? :)