We present the design and evaluation of an interface that combines tactile and tangible paradigms for 3D visualization. While studies have demonstrated that both tactile and tangible input can be efficient for a subset of 3D manipulation tasks, we reflect on combinations of the two complementary input types. Based on a field study and follow-up interviews, we present a prototypical application of hybrid tactile/tangible interaction techniques for fluid dynamics data visualization using a portable, position-aware device. We briefly report on the evaluation of our approach with qualitative feedback.