The case is made that architectural design needs to be organized hierarchically. A method and formula for doing so is derived based on biology and computer science. Fractal simplicity, in which there is self-similar scaling, replaces the outdated notion of rectangular simplicity. Architectural units on different scales are able to cooperate in an intrinsic manner to achieve an emergent property, which is not present in the individual components. The theory of hierarchical systems explains how to relate different scales to each other. In buildings, the correlation between architectural scales determines whether a structure is perceived as coherent or incoherent, independently of its actual design. This paper gives scientific proof of why ornament is essential to the overall cooperation of architectural forms, thus revising one of the basic tenets of modernist design.