Kinaesthetic creativity refers to the body’s ability to generate alternate futures in activities such as role-playing in participatory design workshops. This has relevance not only to the design of methods for inspiring creativity but also to the design of systems that promote engaging experiences via bodily interaction. This paper probes this creative process by studying how dancers interact with technology to generate ideas. We developed a series of parameterized interactive visuals and asked dance practitioners to use them in generating movement materials. From our study, we define a taxonomy that comprises different relationships and movement responses dancers form with the visuals. Against this taxonomy, we describe six types of interaction patterns and demonstrate how dance creativity is driven by the ability to shift between these patterns. We then propose a set of interaction design qualities to support kinaesthetic creativity.