Searching for multi-dimensional media is gradually becoming one of those intriguing research topics that have the potential to shape how users will access and interact with the internet in the years to come. Multi-dimensional media, however, are generally related to complex objects, and, moreover, to the different semantics that different applications and tools use while dealing with them. In the AIM@SHAPE Network of Excellence (1), one of the main objectives is to deal with the knowledge that is either explicitly or implicitly associated to digital shapes and to formalize the underlying semantics through the use of ontologies. Modelling the semantics of shape objects constitutes a concrete step in developing an effective semantics-oriented search mechanism for 3D resources. This mechanism is part of the Digital Shape Workbench infrastructure within AIM@SHAPE.