This is a demonstration of the 'Transparent' cup theorem as discussed recently in
this reddit post
. The reflection of the saucer gives the illusion of a transparent mug. The required shape for the mug is a hyperboloid of one sheet with foci on the perimeter of the saucer. Click and drag to move the camera. Use the controls to see how the illusion is broken when the mug is raised off the saucer.