Fig. 1. The mescher is a geometry representation that allows rendering and relighting impossible objects (left), as well as performing intrinsic geometry processing operations like heat diffusion (center) and geodesic distance queries (right). Abstract Impossible objects, geometric constructions that humans can perceive but that cannot exist in real life, have been a topic of intrigue in visual arts, perception, and graphics, yet no satisfying computer representation of such objects exists. Prev...