Rendering multi-dimensional data in a polyhedron, such as a cube, in a 3D environment allows for the ease of visualization of, and interaction with, the underlying data. The approaches herein allow for 3D manipulation of records within the underlying data by filtering the records across elements of a particular dimension. These records may be filtered by physically grabbing a ‘drawer’—a slice of data within the polyhedron—and removing the drawer to a separate space. That drawer then represents all of the underlying records filtered by that slice, and can be further manipulated by additional filtering, or by merging multiple drawers together.