Geometry, Between History and Shape Configuration

Today, geometrical studies are re-emerging and they are able of connecting and combining conceptual/philosophical/theoretical topics with the shape and configuration of the space, considered as the basic core of still existing or in fieri architecture. Thus, a graphic-documentary apparatus, organized and able to communicate the topics of curves and surfaces, is fundamental to facilitate the understanding of their historical perspective, and - through some exemplary case studies - to deal with their use in different areas of application. The purpose is therefore to broaden the range of critical tools available to any reader (such as researcher, architects, engineer), proposing multiple points of view. Then, an historic analysis about geometry can became the tool to achieve complete awareness through the actions of seeing, thinking, and judging critically. We then propose a tool to organize this knowledge for a better use in any VPL – Visual Programming Language – as an organization of points, lines and surfaces, conscious that not only architecture or design objects, but space in general, exist due to their structural/configurational properties, real or virtual.