We present a system for viewing architectural building models - specifically Building Information Modelling (BIM) models - in 3D using an Augmented Reality Tangible User Interface (TUI) and a Magic Lens interaction metaphor. ARchitectureView is meant to facilitate communication and collaboration around a shared model. We present the system overview and a number of use scenarios in which the interface would serve to improve communication across disciplines and varied technical backgrounds, while supporting a rich and coherent common understanding.