This series of images is a result of a project to automatically fill holes in polygonal meshes. While in simple cases it suffices to create a patch by triangulating the boundary of a hole, in cases where the topology of the final object is uncertain a more complex method is needed. In the figure shown, using our “Atomic Volumes” method, the outer half of the torus can be filled in two topologically different ways. The viewers can decide if they see a Danish or a doughnut.