There has been a growing interest in interactive visuals in contemporary dance performances. These visuals often rely on embodied interaction techniques, such as motion capture or biosignal sensors. However, there is a lack of research into how audience members experience these interactive visuals, and how to enhance that experience. We conducted an audience study, involving four different dance performances. Each of the performances explored a different approach for interaction involving visuals. We collected data from audience members, regarding their experience of the performances, using questionnaires and interviews. The analysis of this data allows us to identify implications for design: balancing trade-offs within a mapping clarity spectrum; connecting layers; visuals as co-creative mediator; defined territory and individuality of visuals; exploration of perspective shift and abstract fragmentation. We argue that these considerations are relevant for designers of systems visualizing embodied interaction, not just for dance, but also for other related applications.CCS Concepts: • Human-centered computing → Empirical studies in HCI; HCI theory, concepts and models; • Applied computing → Performing arts.