Methods, systems, graphical user interfaces, and computer-readable media for visually searching and exploring a set of objects are provided. A computer system executes a method that generates three-dimensional representations or two-dimensional representations for a set of objects in response to a user interaction with an interface that displays the three-dimensional representations or the two-dimensional representations. The interface includes filter controls, sorting controls, and classification controls, which are dynamically altered based on the content of a user query or the attributes of the objects in the three-dimensional representations or two-dimensional representations.