When conducting experimental research, the research questions are often inherently linked (and limited) to the paradigm that is used. In this paper, we present a new experimental tool -- GRIS (Generating Representations in Space) -- that builds experiments where participants can manipulate objects on a screen. Through a series of three experiments on sentence acceptability, category typicality, and multi-dimensional similarity, we demonstrate how GRIS-based experiments allow cognitive scientists to approximate representational spaces for a variety of cognitive phenomena, expanding the set of possible research questions that cognitive scientists may ask.