The first geometrical definitions of any structure are of primary importance when considering pertinence and efficiency in structural design processes. Engineering history has taught us how graphic statics can be a very powerful tool since it allows the designer to take shapes and forces into account simultaneously. However, current and past graphic statics methods are so far more suitable for analysis than structural morphogenesis. This contribution introduces new graphical methods that can supplement the use of graphic statics during the primary establishment of both the structural shape and its mechanical behaviour. First an explanation is given of the underlying motivations, with a short reminder of traditional graphic statics, and then the proposed design process is outlined with two main concepts: geometric domains and equilibrated operations. Finally, some interesting applications are set out.