Klein Bottle Mug

cults3d

Starting from a common visualization of a Klein bottle - turned upside down - it's possible to see how the 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 info, and the source of my inspiration see http://www.kleinbottle.com/ Note that this is a 3D model of what's really a 4D object.