Constructing vaults in brick was mastered by the Romans, but it evolved as time passed. The Catalan vaulting technique in particular made it possible to build spectacular structures, with designs by, for example, Antoni Gaudí or Rafael Guastavino, and was employed in a wide range of applications during the first half of the twentieth century, at which time it was replaced by new methods of construction and modern building materials such as concrete and steel. Now there are signs that interest in this technique for contemporary architecture is growing, and through new applications it is making a comeback in practice and research. The technique is structurally highly efficient, based on materials from natural sources, and does not require elaborate falsework. These characteristics, in combination with the geometric flexibility of the construction system, have great potential for shell structures, which typically have been realised in concrete and steel. In many respects, Catalan vaulting is in the lineage of the common brick vault of Roman times (ill. 1a), but the bricks are not laid, as they had typically been, in an upright position, but employed flat, usually in three layers. Through this successive assembly of lightweight layers of bricks, and by using fast-setting gypsum mortar, the first layer can be erected without a falsework structure. This first layer of bricks serves as the lost falsework for the second, which has the bricks rotated 45 degrees, on top of which, most of the time, a third layer is laid. Larger arches or vault forms were defined spatially simply by introducing lightweight wooden or string guides, providing important points of reference while the bricks were being laid. Simple, extruded and rotationally symmetrical vault forms could usually be erected without these auxiliary structures. The fact that false- and guidework were not necessary constituted a decisive advantage in comparison to most vaulting techniques - the only other vault type with this advantage is the Nubian vault, and its modern version, the Mexican vault, which has oblique courses and a severely limited palette with respect to the vault form (ill. 1b). When the Catalan technique is employed, in addition to reducing material use, the vault remains accessible from below and allows for precise pointing of the bricks, whose dimensions are normally 12 ≈ 24 ≈ 2 cm (ill. 1c, 5). Because no falsework is employed, the brickwork must thus be structurally stable during every stage of construction. A barrel vault, for example, can be constructed one arch at a time. The brickwork of a dome is also easily laid in stable steps: each ring is completed (and stable because of its geometry) before work on the next ring begins. Finding a structural form that is only subject to compression forces has always been a prerequisite for the construction of the Catalan vault. This requirement was met by seeking out a form through experimental and graphical form finding methods. In this manner, and taking into consideration the thickness and weight of the layers of bricks, bending moments induced by asymmetrical loads could be kept to a minimum.