There are two ideas, based on structural thinking, one for a floor that swelled up to support a flat roof; the other for a flat roof composed exclusively of random cross lines and supported only by the line of the exterior walls, in all forming an absolute box. They went for the second idea, where Cecil Balmond found a simple algorithm for getting the seemingly chaotic pattern of lines. “Propose an algorithm: half to a third of adjacent sides of the
square. The 1/2 to 1/3 rule traces four lines in the original square that do not meet. (Choose the half point instead of each side, the trace 1/2 to 1/2 closes back on itself like a billiard ball bouncing perfectly around a square enclosure.) The half to a third rule forces one to go out of the original square to create a new square so that the rule, the algorithm, may continue. Continue for six cycles and a primary structure is obtained. Then if these lines are all extended, a pattern of many crossings results. Some are primary for load bearing, some will serve as bracings to secondary and the rest will be
a binding motif of the random across the surface of the box typology.” (Balmond 2006)
That approach based on algorithms offers greater freedom, but it is also a tool for thoughts since it is very hard to imagine randomness on your own. Algorithms enables you to create unpredictable complexity and hybrid situations, which are still calculable and manageable.