Klein Bottle Mug

cults3d

Starting from a common visualization of a Klein bottle turned upside down it's possible to see how surfaces can be deformed to make a mug one can actually drink from even though you'd really be drinking from the outside surface of the object. But for a Klein bottle there is only one surface anyway - outside and inside are really the same. Follow through the hollow handle to the inside. For more information and the source of my inspiration see http://www.kleinbottle.com/. Note that this is a 3D model of what's really a four-dimensional object.