Over the last several decades, Physics Education Research has abundantly grown in both quantity and kind. With our field growing in so many directions, we have an opportunity - and responsibility - to pause and take stock both of where we've been and where we might go in the future. In this work, we draw on our experiences within the broader field of education to construct a multidimensional map of the space of research. For individuals, this map can provide an entry point into the vast and complex world of educational research. For our field, this map allows us to both systematically explore the current state of our field, and identify some ways we might purposefully expand moving forward. We conclude by highlighting the numerous factors that play into the multidimensionality of our research, and how this multidimensionality can drive our research trajectories forward.