Plate structures principally consists of hexagons joined along their edges without any supporting structure underneath. The resulting Y-shaped vertices between three hexagons meeting in any given joint result in an ideal distribution of forces along the edges of the structure.
The hexagonated tesselation of a given doubly-curved surface can be based on a range of different principles. So far I have studies three methods: a sea urchin-inspired method, a continuous spiral and a combination of the two. The drawings are all based on a sphere; the ultimate doubly-curved surface. Models with various perforation patterns can be found here