In the middle of the present struggle to keep interaction complexity in check, as artifact complexity continues to rise and the technical possibilities to interact multiply, the notion of interface is scrutinized. First, a limited number of previous interpretations or thought styles of the notion are identified and discussed. This serves as a framework for an analysis of the current situation with regard to complexity, control, and interaction, leading to a realization of the crucial role of surface in contemporary understanding of interaction. The potential of faceless interaction, interaction that transcends traditional reliance on surfaces, is then examined and discussed, liberating possibilities as well as complicating effects, and dangers are pointed out, ending with a sketch of a possibly emerging new thought style.