'Classical geometry continues to enable us to do things in architecture that still havent been seen. For instance the theorem of Pascal and Brianchon uses configurations that would be done today with fuzzy software. What is very important for me is that until now the profession has always been based on what I would call a kind of vertical synthesis that you start a project first with a programme, and then an analysis of the site, followed by foundations, walls, and roof, before putting your flag on the top. But other models of synthesis can exist. The alternative involves the design of just one component across many different scales and building types. The component itself is obviously fundamental, and the software that best implements its design is the more primitive approach that you privilege. When architectural debate reaches the stage where we look at the nuances of these components, then, I think, we will have made considerable progress.' Bernard Cache, noted theorist of geometry and computational ontology, shares his latest disciplinary insights on Vitruvius classic Tower of Winds, the parametric software TopSolid, and other such powerful machines dedicated to the production of information. Cache developed the concept of non standard architecture, a concept that was given the name Objectile by Gilles Deleuze. In 1996, Cache founded the company Objectile together with his partner Patrick Beauc