This document proposes interaction techniques for manipulating remote physical objects and shared digital models using shape displays. It describes a technical platform that enables synchronous physical interaction between remote users, objects, and shape deformation. Three systems are implemented and evaluated: remote physical object manipulation using a depth camera for tracking, a connected membrane that renders inverse shapes on two displays, and applications for tangible user interfaces and learning. Limitations around pin density, latency and resolution are discussed along with potential future enhancements.