"Geometry lies at the core of the architectural design process. It is omnipresent, from the initial form-finding stages to the actual construction. Modern constructive geometry provides a variety of tools for the efficient design, analysis, and manufacture of complex shapes. This results in new challenges for architecture. However, the architectural application also poses new problems to geometry. Architectural geometry is therefore an entire research area, currently emerging at the border between applied geometry and architecture."
"Figure 32: A pair of quad meshes with planar faces which are at constant face-face distance of each other. Both meshes M, M' are conical. In this rendering, the support structure which connects M, M' is materialized as quadrilateral ele-ments which support planar glass panels. This image, created by B. Schneider, appeared on the front cover of the 2006 SIGGRAPH conference proceedings , and marks the establishment of “architectural geometry” as a separate discipline of geometry processing." Architectural Geometry
Helmut Pottmann, Michael Eigensatz, Amir Vaxman, Johannes Wallner